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  • 1
    Publication Date: 2014-02-26
    Description: Was Komplexität ist, weiß niemand so richtig. In vielen Wissenschaftsgebieten wird der Begriff Komplexität verwendet, überall mit etwas anderer Bedeutung. Mathematik und Informatik hab en eine eigene Theorie hierzu entwickelt: die Komplexitätstheorie. Sie stellt zwar grundlegende Begriffe bereit, aber leider sind die meisten wichtigen Fragestellungen noch ungelöst. Diese kurze Einführung konzentriert sich auf einen speziellen, aber bedeutenden Aspekt der Theorie: Lösbarkeit von Problemen in deterministischer und nichtdeterministischer polynomialer Zeit. Hinter der für Uneingeweihte etwas kryptischen Frage "P = NP?" verbirgt sich das derzeit wichtigste Problem der Komplexitätstheorie. Anhand dieser Fragestellung werden einige Aspekte der Theorie erläutert und formell erklärt, was "P = NP?" bedeutet. Es geht nicht nur um komplizierte algorithmische Mathematik und Informatik, sondern um grundsätzliche Fragen unserer Lebensumwelt. Kann man vielleicht beweisen, dass es für viele Probleme unseres Alltags keine effizienten Lösungsmethoden gibt?
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 2
    Publication Date: 2014-02-26
    Description: This report combines the contributions to INOC 2005 (Wessälly et al., 2005) and DRCN 2005 (Gruber et al., 2005). A new integer linear programming model for the end-to-end survivability concept deman d-wise shared protection (DSP) is presented. DSP is based on the idea that backup capacity is dedicated to a particular demand, but shared within a demand. It combines advantages of dedicated and shared protection: It is more cost-efficient than dedicated protection and operationally easier than shared protection. In a previous model for DSP, the number of working and backup paths to be configured for a particular demand has been an input parameter; in the more general model for DSP investigated in this paper, this value is part of the decisions to take. To use the new DSP model algorithmically, we suggest a branch-and-cut approach which employs a column generation procedure to deal with the exponential number of routing variables. A computational study to compare the new resilience mechanism DSP with dedicated and shared path protection is performed. The results for five realistic network planning scenarios reveal that the best solutions for DSP are on average 15\% percent better than the corresponding 1+1 dedicated path protection solutions, and only 15\% percent worse than shared path protection.
    Keywords: ddc:000
    Language: English
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  • 3
    Publication Date: 2020-03-11
    Description: Die Functional Requirements for Bibliographic Records, kurz FRBR, sind eine Empfehlung der International Federation of Library Associations and Institutions (IFLA) von 1998 zur Neustrukturierung von Bibliothekskatalogen. Mit den FRBR wird ein logisches Denkmodell für bibliografische Beschreibungen vorgelegt. Die Diskussion über dieses Modell befindet sich im deutschsprachigen Raum - anders als im angloamerikanischen - noch in den Anfängen. Dem möchte dieser Aufsatz entgegen wirken, indem die Frage gestellt wird, inwieweit sich die logisch gedachten FRBR-Einheiten in den existierenden Daten wieder finden lassen. Dazu werden die Entitäten mit den dazugehörigen Attributen dem in der Bibliothekswelt Deutschlands und Österreichs üblichen MAB-Format (Maschinelles Austauschformat für Bibliotheken) gegenübergestellt und auf ihre Kompatibilität hin untersucht. Die Autoren sind Mitglieder der überregionalen {\glqq}Expertengruppe Datenformate{\grqq}, in der Formatfragen, die das Bibliothekswesen betreffen, diskutiert werden, insbesondere aber das MAB-Format gepflegt wird.
    Keywords: ddc:000
    Language: German
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  • 4
    Publication Date: 2020-03-09
    Description: In this paper we consider a simple variant of the Online Dial-a-Ride Problem from a probabilistic point of view. To this end, we look at a probabilistic version of this online Dial-a-Ride problem and introduce a probabilistic notion of the competitive ratio which states that an algorithm performs well on the vast majority of the instances. Our main result is that under the assumption of high load a certain online algorithm is probabilistically $(1+o(1))$-competitive if the underlying graph is a tree. This result can be extended to general graphs by using well-known approximation techniques at the expense of a distortion factor~$O(\log\|V\|)$.
    Keywords: ddc:000
    Language: English
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  • 5
    Publication Date: 2014-03-10
    Description: The identification of metastable conformations of molecules plays an important role in computational drug design. One main difficulty is the fact that the underlying dynamic processes take place in high dimensional spaces. Although the restriction of degrees of freedom to a few dihedral angles significantly reduces the complexity of the problem, the existing algorithms are time-consuming. They are based on the approximation of transition probabilities by an extensive sampling of states according to the Boltzmann distribution. We present a method which can identify metastable conformations without sampling the complete distribution. Our algorithm is based on local transition rates and uses only pointwise information about the potential energy surface. In order to apply the cluster algorithm PCCA+, we compute a few eigenvectors of the rate matrix by the Jacobi-Davidson method. Interpolation techniques are applied to approximate the thermodynamical weights of the clusters. The concluding example illustrates our approach for epigallocatechine, a molecule which can be described by seven dihedral angles.
    Keywords: ddc:000
    Language: English
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  • 6
    Publication Date: 2014-02-26
    Description: Zahlreiche lokale, nationale und internationale Informationsportale existieren mit zum Teil gleichen Angeboten und Dienstleistungen nebeneinander. Da der Aufbau und Betrieb von Portalen kostspielig ist, sollten die einzelnen Dienstleistungen abgestimmt und sinnvoll untereinander vernetzt werden. Für eine solch anzustrebende Kooperation unter Portalen ist es notwendig, ein jeweils eigenes Portalprofil zu definieren, um bei einer Gegenüberstellung der Profile die Abgrenzungen und Verknüpfungspunkte deutlich werden zu lassen. Die KOBV-Zentrale möchte mit der Profilbeschreibung des KOBV-Portals beginnen und so die eigenen Angebote des regionalen Portals mit denen anderer auf sinnvolle Weise verknüpfen. Für diese Positionsbestimmung werden die Dienstleistungen, die Zielgruppe, die Kriterien für die Ressourcenauswahl sowie die Abgrenzung zu anderen Portalen dargelegt.
    Keywords: ddc:000
    Language: German
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  • 7
    Publication Date: 2021-08-05
    Description: Conflict analysis for infeasible subproblems is one of the key ingredients in modern SAT solvers to cope with large real-world instances. In contrast, it is common practice for today's mixed integer programming solvers to just discard infeasible subproblems and the information they reveal. In this paper we try to remedy this situation by generalizing the SAT infeasibility analysis to mixed integer programming. We present heuristics for branch-and-cut solvers to generate valid inequalities from the current infeasible subproblem and the associated branching information. SAT techniques can then be used to strengthen the resulting cuts. We performed computational experiments which show the potential of our method: On feasible MIP instances, the number of required branching nodes was reduced by 50\% in the geometric mean. However, the total solving time increased by 15\%. on infeasible MIPs arising in the context of chip verification, the number of nodes was reduced by 90\%, thereby reducing the solving time by 60\%.
    Keywords: ddc:000
    Language: English
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  • 8
    Publication Date: 2014-02-26
    Description: We provide conditions for convergence of polyhedral surfaces and their discrete geometric properties to smooth surfaces embedded in Euclidian $3$-space. The notion of totally normal convergence is shown to be equivalent to the convergence of either one of the following: surface area, intrinsic metric, and Laplace-Beltrami operators. We further s how that totally normal convergence implies convergence results for shortest geodesics, mean curvature, and solutions to the Dirichlet problem. This work provides the justification for a discrete theory of differential geometric operators defined on polyhedral surfaces based on a variational formulation.
    Keywords: ddc:000
    Language: English
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  • 9
    Publication Date: 2020-12-15
    Description: The line planning problem is one of the fundamental problems in strategic planning of public and rail transport. It consists in finding lines and corresponding frequencies in a transport network such that a given travel demand can be satisfied. There are (at least) two objectives. The transport company wishes to minimize operating costs, the passengers want to minimize travel times. We propose a n ew multi-commodity flow model for line planning. Its main features, in comparison to existing models, are that the passenger paths can be freely routed and that the lines are generated dynamically. We discuss properties of this model and investigate its complexity. Results with data for the city of Potsdam, Germany, are reported.
    Keywords: ddc:000
    Language: English
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  • 10
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    Publication Date: 2019-10-24
    Keywords: ddc:000
    Language: German
    Type: annualzib , doc-type:report
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  • 11
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    Publication Date: 2014-02-26
    Description: Im Rahmen des klassischen Information Retrieval wurden verschiedene Verfahren für das Ranking sowie die Suche in einer homogenen strukturlosen Dokumentenmenge entwickelt. Die Erfolge der Suchmas chine Google haben gezeigt, dass die Suche in einer zwar inhomogenen aber zusammenhängenden Dokumentenmenge wie dem Internet unter Berücksichtigung der Dokumentenverbindungen (Links) sehr ef fektiv sein kann. Unter den von der Suchmaschine Google realisierten Konzepten ist ein Verfahren zum Ranking von Suchergebnissen (PageRank), das in diesem Artikel kurz erklärt wird. % Darüber hinaus wird auf die Konzepte eines Systems namens CiteSeer eingegangen, welches automatisch bibliographische Angaben indexiert (engl. \glqq Autonomous Citation Indexing\grqq, ACI). Letzteres erzeugt aus einer Menge von nicht-vernetzten wissenschaftlichen Dokumenten eine zusammenhängende Dokumentenmenge und ermöglicht den Einsatz von Ranking-Verfahren, die auf den von Google genutzten Verfahren basieren.
    Keywords: ddc:000
    Language: German
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  • 12
    Publication Date: 2019-01-29
    Description: A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apart from global linear convergence we show, that this method converges locally almost quadratically, if the optimal solution satisfies a function space analogue to a non-degeneracy condition. In numerical experiments we observe, that a prototype implementation of our method behaves in compliance with our theoretical results.
    Keywords: ddc:000
    Language: English
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  • 13
    Publication Date: 2014-02-26
    Description: The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature flow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive a shape operator, principal curvature properties of a point set, and an anisotropic Laplacian of the surface. This anisotropic Laplacian reflects curvature properties which can be understood as the point set analogue of Taubin's curvature-tensor for polyhedral surfaces. We combine these discrete tools with techniques from geometric diffusion and image processing. Several applications demonstrate the efficiency and accuracy of our method.
    Keywords: ddc:000
    Language: English
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  • 14
    Publication Date: 2020-12-15
    Description: In this paper we introduce the fare planning problem for public transport which consists in designing a system of fares maximizing revenue. We propose a new simple general model for this problem. It i s based on a demand function and constraints for the different fares. The constraints define the structure of the fare system, e.g., distance dependent fares or zone fares. We discuss a simple example with a quadratic demand function and distance dependent fares. Then we introduce a more realistic discrete choice model in which passengers choose between different alternatives depending on the numb er of trips per month. We demonstrate the examples by computational experiments.
    Keywords: ddc:000
    Language: English
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  • 15
    Publication Date: 2020-12-15
    Description: Can OR methods help the public transport industry to break even? The article gives evidence that there exist significant potentials in this direction, which can be harnessed by a combination of modern mathematical methods and local planning knowledge. Many of the planning steps in public transport are classical combinatorial problems, which can be solved in unprecedented size and quality due the rapid progress in large-scale optimization. Three examples on vehicle scheduling, duty scheduling, and integrated vehicle and duty scheduling illustrate the level that has been reached and the improvements that can be achieved today. Extensions of such methods to further questions of strategic, online, and market-oriented planning are currently investigated. In this way, OR can make a significant contribution to answer the basic but extremely difficult question ``What is a good public transport network?.
    Keywords: ddc:000
    Language: English
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  • 16
    Publication Date: 2016-06-09
    Description: Laplace transforms which admit a holomorphic extension to some sector strictly containing the right half plane and exhibiting a potential behavior are considered. A spectral order, parallelizable method for their numerical inversion is proposed. The method takes into account the available information about the errors arising in the evaluations. Several numerical illustrations are provided.
    Keywords: ddc:000
    Language: English
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  • 17
    Publication Date: 2020-03-09
    Description: The airline crew scheduling problem deals with the construction of crew rotations in order to cover the flights of a given schedule at minimum cost. The problem involves complex rules for the legality and costs of individual pairings and base constraints for the availability of crews at home bases. A typical instance considers a planning horizon of one month and several thousand flights. We propose a column generation approach for solving airline crew scheduling problems that is based on a set partitioning model. We discuss algorithmic aspects such as the use of bundle techniques for the fast, approximate solution of linear programs, a pairing generator that combines Lagrangean shortest path and callback techniques, and a novel rapid branching'' IP heuristic. Computational results for a number of industrial instances are reported. Our approach has been implemented within the commercial crew scheduling system NetLine/Crew of Lufthansa Systems Berlin GmbH.
    Keywords: ddc:000
    Language: English
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  • 18
    Publication Date: 2014-03-10
    Description: The complexity of molecular kinetics can be reduced significantly by a restriction to metastable conformations which are almost invariant sets of molecular dynamical systems. With the Robust Perron Cl uster Analysis PCCA+, developed by Weber and Deuflhard, we have a tool available which can be used to identify these conformations from a transition probability matrix. This method can also be applied to the corresponding transition rate matrix which provides important information concerning transition pathways of single molecules. In the present paper, we explain the relationship between these tw o concepts and the extraction of conformation kinetics from transition rates. Moreover, we show how transition rates can be approximated and conclude with numerical examples.
    Keywords: ddc:000
    Language: English
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  • 19
    Publication Date: 2020-03-09
    Description: Die Autoren schreiben dieses Papier aus der eingeschränkten Sicht der Mathematik und der Informationstechnik. Um den speziellen Beitrag dieser Disziplinen überhaupt diskutieren zu können, sehen wir uns jedoch gezwungen, einen Rahmen abzustecken, den wir für das Jahr 2020 vorhersehen -- nach Wahrscheinlichkeit und aus unserem engeren fachlichen Blickwinkel. Vorab bitten wir schon einmal bei den medizinischen Fachleuten um Nachsicht, wenn wir uns in ihrem Revier allzu dillettantisch bewegen. Vielleicht fördert aber auch unser eingeschränkter Blickwinkel ansonsten unbedachte Aspekte zutage -- das hoffen wir zumindest.
    Keywords: ddc:000
    Language: German
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  • 20
    Publication Date: 2014-02-26
    Description: We consider nonlinear, scaling-invariant $N=1$ boson$+$fermion supersymmetric systems whose right-hand sides are homogeneous differential polynomials and satisfy some natural assumptions. We select the super-systems that admit infinitely many higher symmetries generated by recursion operators; we further restrict ourselves to the case when the dilaton dimensions of the bosonic and fermionic super-fields coincide and the weight of the time is half the weight of the spatial variable. We discover five systems that satisfy these assumptions; one system is transformed to the purely bosonic Burgers equation. We construct local, nilpotent, triangular, weakly non-local, and super-recursion operators for their symmetry algebras.
    Keywords: ddc:000
    Language: English
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  • 21
    Publication Date: 2020-12-15
    Description: We present a branch-and-cut algorithm for the NP-hard maximum feasible subsystem problem: For a given infeasible linear inequality system, determine a feasible subsystem containing as many inequalities as possible. The complementary problem, where one has to remove as few inequalities as possible in order to render the system feasible, can be formulated as a set covering problem. The rows of this formulation correspond to irreducible infeasible subsystems, which can be exponentially many. The main issue of a branch-and-cut algorithm for MaxFS is to efficiently find such infeasible subsystems. We present three heuristics for the corresponding NP-hard separation problem and discuss further cutting planes. This paper contains an extensive computational study of our implementation on a variety of instances arising in a number of applications.
    Keywords: ddc:000
    Language: English
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  • 22
    Publication Date: 2014-02-26
    Description: New evolutionary supersymmetric systems whose right-hand sides are homogeneous differential polynomials and which possess infinitely many higher symmetries are constructed. Their intrinsic geometry (symmetries, conservation laws, recursion operators, Hamiltonian structures, and exact solutions) is analyzed by using algebraic methods. A supersymmetric $N=1$ representation of the Burgers equation is obtained. An $N=2$ KdV-component system that reduces to the Burgers equation in the diagonal $N=1$ case $\theta^1=\theta^2$ is found; the $N=2$ Burgers equation admits and $N=2$ modified KdV symmetry. A one\/-\/parametric family of $N=0$ super\/-\/systems that exte nd the Burgers equation is described; we relate the systems within this family with the Burgers equation on associative algebras. A supersymmetric boson$+$fermion representation of the dispersionless Boussinesq equation is investigated. We solve this equation explicitly and construct its integrable deformation that generates two infinite sequences of the Hamiltonians. The Boussinesq equation with dispersion is embedded in a one-parametric family of two-component systems with dissipation. We finally construct a three-parametric supersymmetric system that incorporates the Boussinesq equation with dispersion and dissipation but never retracts to it for any values of the parameters.
    Keywords: ddc:000
    Language: English
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  • 23
    Publication Date: 2014-11-10
    Description: In this paper we present a new technique for computing lower bounds for graph treewidth. Our technique is based on the fact that the treewidth of a graph $G$ is the maximum order of a bramble of $G$ minus one. We give two algorithms: one for general graphs, and one for planar graphs. The algorithm for planar graphs is shown to give a lower bound for both the treewidth and branchwidth that is at most a constant factor away from the optimum. For both algorithms, we report on extensive computational experiments that show that the algorithms give often excellent lower bounds, in particular when applied to (close to) planar graphs.
    Keywords: ddc:000
    Language: English
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  • 24
    Publication Date: 2020-11-13
    Description: Seit einigen Jahren lizenzieren Bibliotheken mit erheblichem finanziellen Aufwand elektronische Zeitschriften. Anders als bei einer Papierausgabe ist der dauerhafte Zugriff auf die bezahlten Dokumente allerdings nicht garantiert: Die e-Zeitschriften liegen auf dem Verlagsserver, und der Verlag schaltet den Zugriff (meist IP-Range des Campus) auf seinem Server frei. Wird der Zugriff von Verlagsseite abgeschaltet, erlöschen sämtliche Zugriffsrechte, auch auf die in der Vergangenheit lizenzierten und bezahlten Zeitschriften. Auf die neuen Abonnementbedingungen hat das Friedrich-Althoff-Konsortium (FAK) reagiert und in seinen Vertr"agen den Erwerb der Archivdaten beim Auslaufen eines Vertrages festgeschrieben. Im Rahmen eines Projektes baut die KOBV-Zentrale einen Zeitschriftenserver auf, um den Zugriff auf die lizenzierten elektronischen Zeitschriften auch nach Ablauf der Lizenzverträge zu gewährleisten. Den Grundstock bilden die vom FAK in den Jahren 1997-2003 lizenzierten elektronischen Zeitschriften der Verlage Kluwer Academic Press, Springer und Elsevier - ein Volumen von rund 1.600 Zeitschriftentiteln mit knapp 1.400.000 Artikeln. Beim Aufbau des Zeitschriftenservers kommt der vertraglich-organisatorischen Komponente eine ebenso wichtige Rolle zu wie der technischen Realisierung. Hier hat die KOBV-Zentrale ein transparentes Verfahren konzipiert und umgesetzt, um für die Verlage die notwendige Vertrauensbasis zu schaffen und gleichzeitig den Einrichtungen ihren berechtigten Zugriff auf die Zeitschriften-Volltexte zu sichern. Die Zeitschriftenartikel werden sowohl im Rahmen des KOBV-Volltextservers, einem neuen Internet-Dienst der KOBV-Zentrale, zugänglich gemacht - volltext-indiziert mit der Suchmaschine Swish-e - als auch integriert in die Metadatensuche und den Open-Linking-Dienst des KOBV-Portals. Während die Metadatenrecherche und die Sicht auf die Abstracts für alle offen sind, ist der Zugriff auf die Artikel-Volltexte auf die an den Verträgen beteiligten Einrichtungen beschränkt. Dazu wurde ein Authentifizierungsverfahren auf der Basis von IP-Ranges eingerichtet. Der vorliegende Text ist die schriftliche Fassung eines gleichnamigen Vortrages auf der ASpB-Tagung 2005 \glqq Spezialbibliotheken zwischen Auftrag und Ressourcen{\grqq} der Arbeitsgemeinschaft der Spezialbibliotheken, die vom 06.-09. September 2005 in der Technischen Universität München stattfand.
    Keywords: ddc:000
    Language: German
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  • 25
    Publication Date: 2014-02-26
    Description: In diesem Bericht wurden Erfahrungen mit der Suchmaschine FAST im Rahmen des Projektes Verteilter Contentspeicher sowie die Suchmaschine FAST beschrieben. Das Ziel des Projektes Verteilter Contentspeicher war die Speicherung, Erschließung und das Angebot der digitalen Bestände der Journale und Dokumente der KOBV-Bibliotheken zu ermöglichen. Die Eignung der Suchmaschine FAST für das Projektvorhaben wurde systematisch und gründlich getestet, indem verschiedene Dokumentmengen mit FAST indexiert wurden.
    Keywords: ddc:000
    Language: German
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  • 26
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    Publication Date: 2020-02-11
    Description: The thesis deals with the implementation and application of out-of-the-box tools in linear and mixed integer programming. It documents the lessons learned and conclusions drawn from five years of implementing, maintaining, extending, and using several computer codes to solve real-life industrial problems. By means of several examples it is demonstrated how to apply algebraic modeling languages to rapidly devise mathematical models of real-world problems. It is shown that today's MIP solvers are capable of solving the resulting mixed integer programs, leading to an approach that delivers results very quickly. Even though, problems are tackled that not long ago required the implementation of specialized branch-and-cut algorithms. In the first part of the thesis the modeling language Zimpl is introduced. Chapter 2 contains a complete description of the language. In the subsequent chapter details of the implementation are described. Both theoretical and practical considerations are discussed. Aspects of software engineering, error prevention, and detection are addressed. In the second part several real-world projects are examined that employed the methodology and the tools developed in the first part. Chapter 4 presents three projects from the telecommunication industry dealing with facility location problems. Chapter 5 characterizes questions that arise in UMTS planning. Problems, models, and solutions are discussed. Special emphasis is put on the dependency of the precision of the input data and the results. Possible reasons for unexpected and undesirable solutions are explained. Finally, the Steiner tree packing problem in graphs, a well-known hard combinatorial problem, is revisited. A formerly known, but not yet used model is applied to combine switchbox wire routing and via minimization. All instances known from the literature are solved by this approach, as are some newly generated bigger problem instances.
    Keywords: ddc:000
    Language: English
    Type: doctoralthesis , doc-type:doctoralThesis
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  • 27
    Publication Date: 2014-02-26
    Description: We develop and experimentally compare policies for the control of a system of $k$ elevators with capacity one in a transport environment with $\ell$ floors, an idealized version of a pallet elevator system in a large distribution center of the Herlitz PBS AG in Falkensee. Each elevator in the idealized system has an individual waiting queue of infinite capacity. On each floor, requests arrive over time in global waiting queues of infinite capacity. The goal is to find a policy that, without any knowledge about future requests, assigns an elevator to each req uest and a schedule to each elevator so that certain expected cost functions (e.g., the average or the maximal flow times) are minimized. We show that a reoptimization policy for minimizing average sq uared waiting times can be implemented to run in real-time ($1\,s$) using dynamic column generation. Moreover, in discrete event simulations with Poisson input it outperforms other commonly used polic ies like multi-server variants of greedy and nearest neighbor.
    Keywords: ddc:000
    Language: English
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  • 28
    Publication Date: 2014-02-26
    Description: A method based on infinite parameter conservation laws is described to factor linear differential operators out of nonlinear partial differential equations (PDEs) or out of differential consequences of nonlinear PDEs. This includes a complete linearization to an equivalent linear PDE (-system) if that is possible. Infinite parameter conservation laws can be computed, for example, with the computer algebra package {\sc ConLaw}.
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  • 29
    Publication Date: 2022-03-11
    Description: Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several $O(N)$-invariant classes of hyperbolic equations $Utx=f(U,Ut,Ux)$ for an $N$-component vector $U(t,x)$ are considered. In each class we find all scaling-homogeneous equations admitting a higher symmetry of least possible scaling weight. Sigma model interpretations of these equations are presented.
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  • 30
    Publication Date: 2014-02-26
    Description: Quadratic Hamiltonians with a linear Lie-Poisson bracket have a number of applications in mechanics. For example, the Lie-Poisson bracket $e(3)$ includes the Euler-Poinsot model describing motion of a rigid body around a fixed point under gravity and the Kirchhoff model describes the motion of a rigid body in ideal fluid. Advances in computer algebra algorithms, in implementations and hardware, together allow the computation of Hamiltonians with higher degree first integrals providing new results in the search for integrable models. A computer algebra module enabling related computations in a 3-dimensional vector formalism is described.
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  • 31
    Publication Date: 2016-06-09
    Description: We give an algorithm to compute $N$ steps of a convolution quadrature approximation to a continuous temporal convolution using only $O(N\, \log N)$ multiplications and $O(\log N)$ active memory. The method does not require evaluations of the convolution kernel, but instead $O(\log N)$ evaluations of its Laplace transform, which is assumed sectorial. The algorithm can be used for the stable numerical solution with quasi-optimal complexity of linear and nonlinear integral and integro-differential equations of convolution type. In a numerical example we apply it to solve a subdiffusion equation with transparent boundary conditions.
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  • 32
    Publication Date: 2014-02-26
    Description: We describe a prototypical framework that further automates system management by composing complex management tasks from elementary actions, and executing composite tasks with feedback-awareness. {\sl FEEDBACKFLOW} implements a general closed control loop of \emph{planning - execution - result validation - replanning}, and generates workflows of system management actions in an adaptive manner. System-dependent behaviour of the loop is specified by declarative description of the domain (essentially descriptions of available actions), and statement of the goal. We evaluate the design of this framework on examples taken from resource construction in Utility Computing environments, and discuss the challenges we have encountered. Our implementation utilizes external components such as \emph{MBP}, a \emph{PDDL}-conform planner, and \emph{Triana}, a workflow specification and execution framework. An alternative approach involving \emph{BPEL4WS} is discussed.
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  • 33
    Publication Date: 2014-02-26
    Description: For a real world problem --- transporting pallets between warehouses in order to guarantee sufficient supply for known and additional stochastic demand --- we propose a solution approach via convex relaxation of an integer programming formulation, suitable for online optimization. The essential new element linking routing and inventory management is a convex piecewise linear cost function that is based on minimizing the expected number of pallets that still need transportation. For speed, the convex relaxation is solved approximately by a bundle approach yielding an online schedule in 5 to 12 minutes for up to 3 warehouses and 40000 articles; in contrast, computation times of state of the art LP-solvers are prohibitive for online application. In extensive numerical experiments on a real world data stream, the approximate solutions exhibit negligible loss in quality; in long term simulations the proposed method reduces the average number of pallets needing transportation due to short term demand to less than half the number observed in the data stream.
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  • 34
    Publication Date: 2014-02-26
    Description: This paper introduces a new algorithm of conformational analysis based on mesh-free methods as described in [M. Weber. Mehless methods in Conformation Dynamics.(2005)]. The adaptive decomposition of the conformational space by softly limiting functions avoids trapping effects and allows adaptive refinement strategies. These properties of the algorithm makes ZIBgridfree particularly suitable for the complete exploration of high-dimensional conformational space. The adaptive control of the algorithm benefits from the tight integration of molecular simulation and conformational analysis. An emphasized part of the analysis is the Robust Perron Cluster Analysis (PCCA+) based on the work of Peter Deuflhard and Marcus Weber. PCCA+ supports an almost-characteristic cluster definition with an outstanding mapping of transition states. The outcome is expressed by the metastable sets of conformations, their thermodynamic weights and flexibility.
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  • 35
    Publication Date: 2021-08-05
    Description: This paper reports on the fourth version of the Mixed Integer Programming Library. Since ({\sc miplib}) is to provide a concise set of challenging problems, it became necessary to purge instances that became too easy. We present an overview of the 27 new problems and statistical data for all 60 instances.
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  • 36
    Publication Date: 2021-02-01
    Description: Der Artikel beschreibt ein mathematisches Optimierungssystem zur Betriebsplanung in großen Wassernetzen, das bei den Berliner Wasserbetrieben eingesetzt wird. Für das Berliner Versorgungsnetz werden Optimierungsergebnisse vorgestellt.
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    Language: German
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  • 37
    Publication Date: 2014-02-26
    Description: \\ Zusammenfassung: Der Kooperative Bibliotheksverbund Berlin-Brandenburg (KOBV) betreibt für das KOBV-Portal einen Austausch von Beschreibungen zu elektronischen Ressourcen (Metadaten), der zwisc zwischen verschiedenen Informationsportalen in der Region durchgeführt wird. Die unterschiedlichen Informationsportale verwenden verschiedene Metadaten-Schemata und Austausch-Formate für ihre Ressourcebeschreibungen. Um die Heterogenität der Metadaten zu überwinden, wurde der KOBV-Metadaten-Austausch-Parser (KMA-Parser) entwickelt. Andere Metadaten-Schemata werden auf das KOBV-Metadaten-Schema abgebildet. Der KMA-Parser führt gegebenenfalls eine Format-Transformation durch, konvertiert die Inhalte einzelner Elemente über Konkordanzen und erzeugt neue Metadaten-Elemente aus vorhandenen Feldern. Er validiert den Inhalt auf Vollständigkeit und steuert den Austausch der Metadaten zwischen den Portalen. Der Umwandlungsprozess funktioniert jedoch nicht nur in die Richtung des KOBV-Portals, sondern auch in die entgegengesetzte Richtung. Der Artikel beschreibt die einzelnen Vorgänge im KMA-Parser und schildert die Erfahrungen im Umgang mit der Heterogenität von Metadaten. Die gewonnenen Erfahrungen verweisen auf grundlegende Perspektiven in der universellen Zusammenarbeit von Informationsanbietern und -providern.The Kooperativer Bibliotheksverbund Berlin-Brandenburg (KOBV) has built a framework for a bi-directional exchange workflow of electronic resourcesÆ descriptions (metadata) between the KOBV Portal and other Information Portals in the region. The Information Portals use different exchange formats, metadata schemata and controlled vocabularies for their descriptions of resources. In order to overcome this metadata heterogeneity, an application, the KOBV Metadata Exchange Parser (KMA-Parser), has been developed. The KMA-Parser maps the local portalsÆ metadata schemata into the metadata schema of the KOBV Portal. If necessary, it transforms the exchange format, converts contents of individual elements by means roduces new metadata elements on the basis of existent elements. It checks elementsÆ contents on completeness and controls the metadata exchange between the portals. However, the transformation process takes place not only towards the KOBV Portal, but al so vice versa. The article describes the individual processes in the KMA Parser and depicts the experiences in handling the metadataÆs heterogeneity. The experiences gathered give an idea of the prospects for a universal cooperation between information suppliers and providers.
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  • 38
    Publication Date: 2021-01-22
    Description: \newcommand{\chordsharp}{Chord$^\##$} Data lookup is a fundamental problem in peer-to-peer systems: Given a key, find the node that stores the associated object. Chord and other P2P algorithms use distributed hash tables (DHTs) to distribute the keys and nodes evenly across a logical ring. Using an efficient routing strategy, DHTs provide a routing performance of $O (\log N)$ in networks of $N$ nodes. While the routing performance has been shown to be optimal, the uniform key distribution makes it impossible for DHTs to support range queries. For range queries, consecutive keys must be stored on lo gically neighboring nodes. In this paper, we present an enhancement of Chord that eliminates the hash function while keeping the same routing performance. The resulting algorithm, named \chordsharp{}, provides a richer function ality while maintaining the same complexity. In addition to Chord, \chordsharp{} adapts to load imbalance.
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  • 39
    Publication Date: 2019-01-29
    Description: This paper is concerned with the sensitivities of function space oriented interior point approximations in parameter dependent problems. For an abstract setting that covers control constrained optimal control problems, the convergence of interior point sensitivities to the sensitivities of the optimal solution is shown. Error bounds for $L_q$ norms are derived and illustrated with numerical examples.
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  • 40
    Publication Date: 2020-08-05
    Description: We present an approach to implement an auction of railway slots. Railway network, train driving characteristics, and safety requirements are described by a simplified, but still complex macroscopic model. In this environment, slots are modelled as combinations of scheduled track segments. The auction design builds on the iterative combinatorial auction. However, combinatorial bids are restricted to some types of slot bundles that realize positive synergies between slots. We present a bidding language that allows bidding for these slot bundles. An integer programming approach is proposed to solve the winner determination problem of our auction. Computational results for auction simulations in the Hannover-Fulda-Kassel area of the German railway network give evidence that auction approaches can induce a more efficient use of railway capacity.
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  • 41
    Publication Date: 2014-02-26
    Description: Das Travelling-Salesman-Problem (TSP) ist das am intensivsten untersuchte kombinatorische Optimierungsproblem. In diesem Abschnitt wird eine Einführung in das TSP gegeben. Es werden Problemstellungen erläutert, Anwendungen skizziert und einige Schwierigkeiten bei der korrekten Modellierung der Zielfunktion dargelegt. Es ist gar nicht so klar, was in einem konkreten Problem die wirkliche Entfernung ist. Exakte und approximative Lösungsverfahren werden an Beispielen skizziert, und es wird angedeutet, dass man, obwohl TSPs zu den theoretisch schweren Problemen zählen, in der Praxis TSPs von atemberaubender Größe lösen kann.
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    Language: German
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  • 42
    Publication Date: 2014-02-26
    Description: Mit der Installation des neuen Hochleistungsrechners für die norddeutschen Länder (HLRN) steht den Wissenschaftlern ein außergewöhnlich leistungsfähiges System zur Verfügung. Durch die Verteilung der Rechenelemente auf zwei verschiedene Standorte in Berlin (ZIB) und Hannover (RRZN) entstehen jedoch auch neue Herausforderungen für den Betrieb und die effiziente Nutzung des Rechners. Inhalt dieses Projektes ist die Erforschung und Lösung der durch die Verteilung des Systems hervorgerufenen Probleme (z.B. Scheduling, Kommunikation, I/O). Es werden effiziente Lösungen zur Bereitstellung eines virtuellen, hoch-performanten und transparenten Systems entwickelt, die auf vergleichbare Installationen übertragbar sind.
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  • 43
    Publication Date: 2014-11-10
    Description: We study the complexity of two Inverse Shortest Paths (ISP) problems with integer arc lengths and the requirement for uniquely determined shortest paths. Given a collection of paths in a directed graph, the task is to find positive integer arc lengths such that the given paths are uniquely determined shortest paths between their respective terminals. The first problem seeks for arc lengths that minimize the length of the longest of the prescribed paths. In the second problem, the length of the longest arc is to be minimized. We show that it is $np-hard$ to approximate the minimal longest path length within a factor less than $8/7$ or the minimal longest arc length within a factor less than $9/8$. This answers the (previously) open question whether these problems are $np-hard$ or not. We also present a simple algorithm that achieves an $\mathcal{O}(|V|)$-approximation guarantee for both variants. Both ISP problems arise in the planning of telecommunication networks with shortest path routing protocols. Our results imply that it is $\mathcal{NP}$-hard to decide whether a given path set can be realized with a real shortest path routing protocol such as OSPF, IS-IS, or RIP.
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  • 44
    Publication Date: 2014-02-26
    Description: We perform a classification of integrable systems of mixed scalar and vector evolution equations with respect to higher symmetries. We consider polynomial systems that are homogeneous under a suitable weighting of variables. This paper deals with the KdV weighting, the Burgers (or potential KdV or modified KdV) weighting, the Ibragimov--Shabat weighting and two unfamiliar weightings. The case of other weightings will be studied in a subsequent paper. Making an ansatz for undetermined coefficients and using a computer package for solving bilinear algebraic systems, we give the complete lists of $2^{\mbox{\scriptsize nd }}$order systems with a $3^{\mbox{\scriptsize rd }}$order or a $4^{\mbox{\scriptsize th }}$order symmetry and $3^{\mbox{\scriptsize rd }}$order systems with a $5^{\mbox{\scriptsize th }}$order symmetry. For all but a few systems in the lists, we show that the system (or, at least a subsystem of it) admits either a Lax representation or a linearizing transformation. A thorough comparison with recent work of Foursov and Olver is made.
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  • 45
    Publication Date: 2014-02-26
    Description: The result after $N$ steps of an implicit Runge-Kutta time discretization of an inhomogeneous linear parabolic differential equation is computed, up to accuracy $\varepsilon$, by solving only $$O\Big(\log N\, \log \frac1\varepsilon \Big) $$ linear systems of equations. We derive, analyse, and numerically illustrate this fast algorithm.
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  • 46
    Publication Date: 2020-11-13
    Description: In this paper, we study wavelength assignment problems in multi-fiber WDM networks. We focus on the special case that all lightpaths have at most two links. This in particular holds in case the network topology is a star. As the links incident to a specific node in a meshed topology form a star subnetwork, results for stars are also of interest for general meshed topologies. We show that wavelength assignment with at most two links per lightpath can be modeled as a generalized edge coloring problem. By this relation, we show that for a network with an even number of fibers at all links and at most two links per lightpath, all lightpaths can be assigned a wavelength without conversion. Moreover, we derive a lower bound on the number of lightpaths to be converted for networks with arbitrary numbers of fibers at the links. A comparison with linear programming lower bounds reveals that the bounds coincide for problems with at most two links per lightpath. For meshed topologies, the cumulative lower bound over all star subnetworks equals the best known solution value for all realistic wavelength assignment instances available, by this proving optimality.
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  • 47
    Publication Date: 2014-11-21
    Description: We prove that the Random-Edge simplex algorithm requires an expected number of at most $13n/sqrt(d)$ pivot steps on any simple d-polytope with n vertices. This is the first nontrivial upper bound for general polytopes. We also describe a refined analysis that potentially yields much better bounds for specific classes of polytopes. As one application, we show that for combinatorial d-cubes, the trivial upper bound of $2^d$ on the performance of Random-Edge can asymptotically be improved by any desired polynomial factor in d.
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  • 48
    Publication Date: 2014-11-10
    Description: In diesem Artikel werden die Optimierungsmodelle und -verfahren beschrieben, die bei der Planung des Kernnetzes und der Zugangsinfrastruktur des X-WiN verwendet wurden.
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    Language: German
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  • 49
    Publication Date: 2014-02-26
    Description: Die Anwendung mathematischer Methoden und Verfahren wird immer mehr zur Voraussetzung innovativer Produkte und Dienstleistungen. Um neue Produkte und Dienstleistungen zu entwickeln, müssen die Produktions- und technologischen Prozesse mathematisch modelliert, beschrieben und optimiert werden. Diesen Umstand Rechnung tragend, hat das Bundesministerium für Bildung und Forschung (BMBF) 1993 begonnen, den Einsatz mathematischer Verfahren und Methoden in der Mathematik über ein spezielles Mathematikprogramm zu fördern. Inzwischen hat die vierte Förderperiode des Mathematikprogramms begonnen. \par Das Medium Internet und insbesondere das WWW sind für die Sichtbarkeit und Transparenz wissenschaftlicher Resultate in den letzten zehn Jahren immer wichtiger geworden. Wer nicht im Web "'sichtbar"' ist, läuft Gefahr, nicht wahrgenommen zu werden. Intention und Ziel des durchgeführten Projekts war es, ein Konzept für eine qualitativ hochwertige und umfassende Darstellung des BMBF Mathematikprogramms, insbesondere der in den Projekten erzielten Ergebnisse, zu entwickeln und zu realisieren und damit den Stellenwert und die Akzeptanz mathematischer Forschung in der Gesellschaft zu festigen und den Wissenstransfer zwischen mathematischer Forschung sowie Forschung und Entwicklung in der Wirtschaft und dem Dienstleistungsbereich zu fördern.
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    Language: German
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  • 50
    Publication Date: 2014-02-26
    Description: Die KOBV-Zentrale betreibt mit dem KOBV-Portal neben der Metasuche in freien Online-Katalogen und Datenbanken ein Nachweisinstrument für elektronische Ressourcen, die von den Bibliotheken Berlin-Brandenburgs lizenziert sind und darüber hinaus diejenigen, die frei zugänglich sowie wissenschaftlich relevant sind. Die Erschließung der freien Ressourcen übernimmt eine kooperative Fachredaktion, die sich aus FachreferentInnen und -lektorInnen aus der Region rekrutiert. Dabei übernimmt jede beteiligte Person die Betreuung einer oder mehrerer Fachgruppen der Dewey Decimal-Classification (DDC) eigenverantwortlich. Die Aufgabe aller FachredakteurInnen besteht in der inhaltlichen Beschreibung, der Klassifizierung, der Vergabe von Schlagworten und der regelmäßigen Reevaluation der einzelnen Ressourcen. Die KOBV-Zentrale hat hierfür einen Kriterienkatalog entwickelt, der als Grundlage für die Beurteilung von elektronischen Ressourcen dient. Erschlossen werden die Ressourcen schließlich über ein webbasierte Eingabe-Tool, dem Metadata-Tool der KOBV-Zentrale. Über eine Mailingliste wird der Abstimmungsbedarf untereinander gedeckt und Diskussionen geführt, die das Projekt weiterführen sollen. Der Artikel beschreibt das Konzept der kooperativen Fachredaktion für freie Ressourcen, die Vorgänge und die Arbeiten, die für die Initiierung notwendig waren.
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  • 51
    Publication Date: 2014-02-26
    Description: We present a new algorithm for fairing of space curves with respect spatial constraints based on a vector valued curvature function. Smoothing with the vector valued curvature function is superior to standard Frenet techniques since the individual scalar components can be modeled similar to curvature-based curve smoothing techniques in 2d. This paper describes a curve smoothing flow that satisfies strict spatial constraints and allows simultaneous control of both curvature functions.
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  • 52
    Publication Date: 2016-06-09
    Description: Scattering problems in integrated optics can be modeled in simple cases by the Helmholtz equation. The computational domain is truncated by a non-reflecting boundary condition. We investigate Schwarz algorithms with a sort of DtN operator, realized by the PML-method, at the interfaces of the sub-domains as an iterative solver.
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  • 53
    Publication Date: 2019-05-10
    Description: Adaptive numerical methods in space and time are introduced and studied for multiscale cardiac reaction-diffusion models in three dimensions. The evolution of a complete heartbeat, from the excitation to the recovery phase, is simulated with both the anisotropic Bidomain and Monodomain models, coupled with either a variant of the simple FitzHugh-Nagumo model or the more complex phase-I Luo-Rudy ionic model. The simulations are performed with the {\sc kardos} library, that employs adaptive finite elements in space and adaptive linearly implicit methods in time. The numerical results show that this adaptive method successfully solves these complex cardiac reaction-diffusion models on three-dimensional domains of moderate sizes. By automatically adapting the spatial meshes and time steps to the proper scales in each phase of the heartbeat, the method accurately resolves the evolution of the intra- and extra-cellular potentials, gating variables and ion concentrations during the excitation, plateau and recovery phases.
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  • 54
    Publication Date: 2021-02-01
    Description: Mathematical decision support for operative planning in water supply systems is highly desirable but leads to very difficult optimization problems. We propose a nonlinear programming approach that yields practically satisfactory operating schedules in acceptable computing time even for large networks. Based on a carefully designed model supporting gradient-based optimization algorithms, this approach employs a special initialization strategy for convergence acceleration, special minimum up and down time constraints together with pump aggregation to handle switching decisions, and several network reduction techniques for further speed-up. Results for selected application scenarios at Berliner Wasserbetriebe demonstrate the success of the approach.
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  • 55
    Publication Date: 2014-02-26
    Description: The theory of hierarchical Boolean satisfiability (SAT) solving proposed in this paper is based on a strict axiomatic system and introduces a new important notion of implicativity. The theory makes evident that increasing implicativity is the core of SAT-solving. We provide a theoretical basis for increasing the implicativity of a given SAT instance and for organizing SAT-solving in a hierarchical way. The theory opens a new domain of research: SAT-model construction. Now quite different mathematical models can be used within practical SAT-solvers. The theory covers many advanced techniques such as circuit-oriented SAT-solving, mixed BDD/CNF SAT-solving, merging gates, using pseudo-Boolean constraints, using state machines for representation of Boolean functions, arithmetic reasoning, and managing don t cares. We believe that hierarchical SAT-solving is a cardinal direction of research in practical SAT-solving.
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  • 56
    Publication Date: 2020-12-15
    Description: The \emph{fare planning problem} for public transport is to design a system of fares that maximize the revenue. We introduce a nonlinear optimization model to approach this problem. It is based on a d iscrete choice logit model that expresses demand as a function of the fares. We illustrate our approach by computing and comparing two different fare systems for the intercity network of the Netherlands.
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  • 57
    Publication Date: 2020-12-15
    Description: The line planning problem is one of the fundamental problems in strategic planning of public and rail transport. It consists in finding lines and corresponding frequencies in a network such that a giv en demand can be satisfied. There are two objectives. Passengers want to minimize travel times, the transport company wishes to minimize operating costs. We investigate three variants of a multi-commo dity flow model for line planning that differ with respect to passenger routings. The first model allows arbitrary routings, the second only unsplittable routings, and the third only shortest path rou tings with respect to the network. We compare these models theoretically and computationally on data for the city of Potsdam.
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  • 58
    Publication Date: 2020-11-13
    Description: \documentclass[12pt]{article} \usepackage{german} \parindent=0pt \begin{document} Im KOBV wird für die Online-Fernleihe der Zentrale-Fernleihserver (ZFL-Server) der Firma Sisis eingesetzt. Die Software ist in der KOBV-Zentrale installiert. Der ZFL-Server dient im KOBV sowohl für die Bestellung von Monographien als auch für die Bestellung von Aufsatzkopien aus Zeitschriften. Prinzipiell gibt es zwei Verfahren, mit denen sich Bibliotheken an der Online-Fernleihe beteiligen können: das E-Mail-Verfahren und das SLNP-Verfahren. Auf beide wird im Handbuch eingegangen. Die Online-Fernleihe wurde im KOBV eingeführt, um die Fernleihe für die Benutzer zu beschleunigen, das Verfahren für die Bibliotheksmitarbeiter zu vereinfachen und den Arbeitsaufwand zu reduzieren. Sie basiert darauf, dass eine Bestellung anhand eines gefundenen Treffers ausgelöst wird - d.h. die bibliographischen Daten sind bereits verifiziert und in einem Katalog nachgewiesen. Anschlie\"send werden die Fernleihbestellungen über den ZFL-Server automatisch ausgeführt und verwaltet - sowohl in der regionalen KOBV-Fernleihe als auch in der verbundübergreifenden Fernleihe mit den deutschen Bibliotheksverbünden. Der ZFL-Server besteht aus verschiedenen technischen Komponenten. Eine dieser Komponenten ist das Bibliothekskonto, eine Internetanwendung, in der die Bestellverwaltung des ZFL-Servers im Internet für die Bibliotheksbediensteten transparent gemacht wird. Sowohl für die aktive als auch für die passive Fernleihe ist im Bibliothekskonto der Status der Bearbeitung zu jedem Zeitpunkt ersichtlich, z.B. in welcher Bibliothek sich die Bestellung gerade befindet, wann sie dort eingegangen ist und wann sie weggeschickt wurde, ob mit positivem oder negativem Ergebnis. Das Bibliothekskonto ist damit für die Bibliothek ein komfortables Instrument zum Überwachen der Fernleihbestellungen, in dem sie zudem - falls notwendig - in den Bestellvorgang eingreifen kann. Dazu hat jede Bibliothek im Bibliothekskonto eine eigene, Passwort-geschützte Dienstoberfläche. Das vorliegende Handbuch beschreibt die Vorgänge der Bestellverwaltung im Bibliothekskonto. Es richtet sich an Bibliotheksmitarbeiter, die sich mit den einzelnen Arbeitsschritten der Online-Fernleihe vertraut machen wollen. Darüber hinaus ist es zum Nachschlagen gedacht, wenn sich in der täglichen Arbeit Unklarheiten ergeben. \end{document}
    Keywords: ddc:000
    Language: German
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  • 59
    Publication Date: 2022-03-14
    Description: The Feasibility Pump of Fischetti, Glover, Lodi, and Bertacco has proved to be a very successful heuristic for finding feasible solutions of mixed integer programs. The quality of the solutions in terms of the objective value, however, tends to be poor. This paper proposes a slight modification of the algorithm in order to find better solutions. Extensive computational results show the success of this variant: in 89 out of 121 MIP instances the modified version produces improved solutions in comparison to the original Feasibility Pump.
    Keywords: ddc:000
    Language: English
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  • 60
    Publication Date: 2014-02-26
    Description: In this letter we report on a numerical investigation of the Aoki phase in the case of finite temperature which continues our former study at zero temperature. We have performed simulations with Wilson fermions at $\beta=4.6$ using lattices with temporal extension $N_{\tau}=4$. In contrast to the zero temperature case, the existence of an Aoki phase can be confirmed for a small range in $\kappa$ at $\beta=4.6$, however, shifted slightly to lower $\kappa$. Despite fine-tuning $\kappa$ we could not separate the thermal transition line from the Aoki phase.
    Keywords: ddc:000
    Language: English
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  • 61
    Publication Date: 2021-02-01
    Description: The dynamics of pressurized water distribution networks are naturally modeled by differential algebraic equations (DAE). This paper investigates fundamental structural properties of such a DAE model under weak regularity assumptions. The usual partial derivative-based index-1 condition is shown to be necessary and sufficient for several index concepts, as well as sufficient for solvability in a strong sense. Using the physical properties of nonlinear network elements and the inherent saddle point structure of network hydraulics, we then derive purely topological index criteria based on the network graph and the choice of control variables. Several examples illustrate the theoretical results and explore different non-index-1 situations. A brief discussion of the implications for operative planning by discrete time DAE boundary value problems concludes the paper.
    Keywords: ddc:000
    Language: English
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  • 62
    Publication Date: 2020-02-11
    Description: Using the popular puzzle game of Sudoku, this article highlights some of the ideas and topics covered in ZR-04-58.
    Keywords: ddc:000
    Language: English
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  • 63
    Publication Date: 2021-03-16
    Description: Perfect graphs constitute a well-studied graph class with a rich structure, reflected by many characterizations with respect to different concepts. Perfect graphs are, for instance, precisely those graphs $G$ where the stable set polytope $STAB(G)$ coincides with the fractional stable set polytope $QSTAB(G)$. For all imperfect graphs $G$ it holds that $STAB(G) \subset QSTAB(G)$. It is, therefore, natural to use the difference between the two polytopes in order to decide how far an imperfect graph is away from being perfect; we discuss three different concepts, involving the facet set of $STAB( G)$, the disjunctive index of $QSTAB(G)$, and the dilation ratio of the two polytopes. Including only certain types of facets for $STAB(G)$, we obtain graphs that are in some sense close to perfect graphs, for example minimally immperfect graphs, and certain other classes of so-called rank-perfect graphs. The imperfection ratio has been introduced by (Gerke and McDiarmid, 2001) as the dilation ratio of $STAB(G)$ and $QSTAB(G)$, whereas (Aguilera et al., 2003) suggest to take the disjunctive index of $Q STAB(G)$ as the imperfection index of $G$. For both invariants there exist no general upper bounds, but there are bounds known for the imperfection ratio of several graph classes (Coulonges et al. 2005, Gerke and McDiarmid, 2001). Outgoing from a graph-theoretical interpretation of the imperfection index, we conclude that the imperfection index is NP-hard to compute and we prove that there exists no upper bound on the imperfect ion index for those graph classes with a known bounded imperfection ratio. Comparing the two invariants on those classes, it seems that the imperfection index measures imperfection much more roughly than the imperfection ratio; therefoe, discuss possible directions for refinements.
    Keywords: ddc:000
    Language: English
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  • 64
    Publication Date: 2020-11-13
    Description: Many online problems encountered in real-life involve a two-stage decision process: upon arrival of a new request, an irrevocable first-stage decision (the assignment of a specific resource to the request) must be made immediately, while in a second stage process, certain ``subinstances'' (that is, the instances of all requests assigned to a particular resource) can be solved to optimality (offline) later. We introduce the novel concept of an \emph{Online Target Date Assignment Problem} (\textsc{OnlineTDAP}) as a general framework for online problems with this nature. Requests for the \textsc{OnlineTDAP} become known at certain dates. An online algorithm has to assign a target date to each request, specifying on which date the request should be processed (e.\,g., an appointment with a customer for a washing machine repair). The cost at a target date is given by the \emph{downstream cost}, the optimal cost of processing all requests at that date w.\,r.\,t.\ some fixed downstream offline optimization problem (e.\,g., the cost of an optimal dispatch for service technicians). We provide general competitive algorithms for the \textsc{OnlineTDAP} independently of the particular downstream problem, when the overall objective is to minimize either the sum or the maximum of all downstream costs. As the first basic examples, we analyze the competitive ratios of our algorithms for the par ticular academic downstream problems of bin-packing, nonpreemptive scheduling on identical parallel machines, and routing a traveling salesman.
    Keywords: ddc:000
    Language: English
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  • 65
    Publication Date: 2022-07-19
    Description: Inhalt dieser Diplomarbeit ist ein Beleuchtungs- und Visualisierungsmodell für Pflanzen im interaktiven Landschaftsrendering. Ziel ist die qualitativ hochwertige Darstellung von einzelnen Individuen nahe des Betrachters, der seine Position in einer ansonsten statischen Szene frei wählen kann. Um dies zu erreichen wird zunächst vorgestellt, wie ausgehend von einfachen 3D-Modellen und Materialien ein physikalisch basiertes Reflexionsmodell parametrisiert werden kann. Grund hierfür ist der oftmals vorhandene umfangreiche Datenbestand, der auf die OpenGL-Materialien oder ähnliche Shader optimiert ist. Anschließend wird gezeigt, wie die Echtzeit-Renderingtechniken Shadow Mapping und Precomputed Radiance Transfer kombiniert werden können, um sowohl exakte hochfrequente direkte Beleuchtung als auch niederfrequentes indirektes Streulicht zu berücksichtigen. Diese Kombination wird an Hand der Pfad-Notation des Monte-Carlo-Path-Tracing eingeführt und begründet.
    Keywords: ddc:000
    Language: German
    Type: masterthesis , doc-type:masterThesis
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  • 66
    Publication Date: 2024-02-09
    Description: Die hierarchische Organisation von Dateien beherrscht Computersysteme seit vielen Jahren und wird sich vermutlich auch in Zukunft weiterhin durchsetzen. Dennoch stößt diese Verwaltungsmethode in einem klassischen hierarchischen Dateisystem bei dem jährlichen rasanten Zuwachs an neuen Daten an ihre Grenzen, auch wenn Nutzer eine ausgefeilte Verzeichnisstruktur mit einer disziplinierten Namensgebung konsequent auf- und ausbauen. Um den Überblick über die Dateien zu behalten, werden in dieser Arbeit neue Verwaltungsmethoden vorgestellt und in die hierarchische Dateisystemsicht eingebettet. Auf der Basis des hierarchischen Dateisystems bietet ein metadatenbasiertes Dateisystem neben dem hierarchischen Zugriff noch einen flexiblen, assoziativen Zugriff auf Dateien über virtuelle Objekte, indem Suchmethoden in Form einer Anfrage auf in einer Datenbank gespeicherte Index- und Metadaten angewendet werden. Das Ergebnis dieser Abfrage wird mit Hilfe von virtuellen Verzeichnissen und virtuellen Dateien in einer übersichtlichen Form dargestellt, so dass eine Nutzung der hierarchischen Sicht weiterhin intuitiv fortgesetzt wird. Das Datenmanagementsystem ZIBDMS, welches einen verteilten Metadatenkatalog und einen Dateireplikationskatalog beinhaltet, ermöglicht es, die oben genannten Verwaltungsmethoden für die NFS-Schnittstelle, CORBA-Middleware und Web Services transparent zu implementieren. Zudem stellt ZIBDMS weitere neue Dateiverwaltungsmethoden zur Verfügung, die sich in die hierarchische Dateisystemsicht integrieren lassen. Metadaten in Form von Attribut-Wert-Paaren lassen sich als virtuelle Datei darstellen und editieren. Eine Collection bietet die Möglichkeit, Dateien in einem logischen virtuellen Ordner zu organisieren. Mit einem Dependency-Graph lassen sich Dateien zueinander in Relation stellen, so dass eine Linkstruktur zwischen Dateien ausgedrückt werden kann. Das Verweiskonzept eines klassischen hierarchischen Dateisystems wird im ZIBDMS um eine neue Verweisart Weak-Link erweitert, um einen aktualisierbaren, konsistenten und zyklenfreien symbolischen Link anzubieten. In einer hierarchischen Sicht lässt sich durch Verweise ein Baum bilden, in dem eine Navigation und Verweisauflistung möglich sind, was außer ZIBDMS noch kein anderes System bietet.
    Description: The hierarchical organization of files has dominated computer systems for many years and this will probably not change in the near future. However, with the rapid annual growth of new data this classical hierarchical file system management method reaches its limitations, even when the user consistently sets up and continually expands an elaborated directory structure with well-disciplined naming. This paper introduces new management methods to maintain an overview of all files which can be embedded in the hierarchical file system. A metadata-based file system, which is based on the hierarchical file system, offers, in addition to hierarchical access, a more flexible and associative access to files via virtual objects by providing query capabilities of index- and metadata which are stored in a database. The query results are presented in a clearly-arranged form of virtual directories and virtual files so that the intuitive hierarchical view continues to be maintained. The data management system ZIBDMS, which contains a distributed metadata catalog and a file replication catalog, permits a transparent implementation of these management methods for the NFS interface, CORBA-middleware or web services. Furthermore, ZIBDMS provides other new file management methods that can be integrated into the hierarchical file system view. Metadata in form of attribute-value-pairs can be presented and edited with a virtual file. A Collection makes it possible to organize files in logical virtual folders. Using a Dependency graph, files can be related to each other and expressed through a link structure between these files. In the ZIBDMS the reference concept of a classical hierarchal file system is extended with a new kind of reference called Weak Link in order to provide up-to-date, consistent and cycle-free symbolic links. With the references a tree can be established in a hierarchical view in which navigation and listing of references are possible; this capability is only possible in the ZIBDMS system.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 67
    Publication Date: 2024-02-09
    Description: Die hierarchische Organisation von Dateien beherrscht Computersysteme seit vielen Jahren und wird sich vermutlich auch in Zukunft weiterhin durchsetzen. Dennoch stößt diese Verwaltungsmethode in einem klassischen hierarchischen Dateisystem bei dem jährlichen rasanten Zuwachs an neuen Daten an ihre Grenzen, auch wenn Nutzer eine ausgefeilte Verzeichnisstruktur mit einer disziplinierten Namensgebung konsequent auf- und ausbauen. Um den Überblick über die Dateien zu behalten, werden in dieser Arbeit neue Verwaltungsmethoden vorgestellt und in die hierarchische Dateisystemsicht eingebettet. Auf der Basis des hierarchischen Dateisystems bietet ein metadatenbasiertes Dateisystem neben dem hierarchischen Zugriff noch einen flexiblen, assoziativen Zugriff auf Dateien über virtuelle Objekte, indem Suchmethoden in Form einer Anfrage auf in einer Datenbank gespeicherte Index- und Metadaten angewendet werden. Das Ergebnis dieser Abfrage wird mit Hilfe von virtuellen Verzeichnissen und virtuellen Dateien in einer übersichtlichen Form dargestellt, so dass eine Nutzung der hierarchischen Sicht weiterhin intuitiv fortgesetzt wird. Das Datenmanagementsystem ZIBDMS, welches einen verteilten Metadatenkatalog und einen Dateireplikationskatalog beinhaltet, ermöglicht es, die oben genannten Verwaltungsmethoden für die NFS-Schnittstelle, CORBA-Middleware und Web Services transparent zu implementieren. Zudem stellt ZIBDMS weitere neue Dateiverwaltungsmethoden zur Verfügung, die sich in die hierarchische Dateisystemsicht integrieren lassen. Metadaten in Form von Attribut-Wert-Paaren lassen sich als virtuelle Datei darstellen und editieren. Eine Collection bietet die Möglichkeit, Dateien in einem logischen virtuellen Ordner zu organisieren. Mit einem Dependency-Graph lassen sich Dateien zueinander in Relation stellen, so dass eine Linkstruktur zwischen Dateien ausgedrückt werden kann. Das Verweiskonzept eines klassischen hierarchischen Dateisystems wird im ZIBDMS um eine neue Verweisart Weak-Link erweitert, um einen aktualisierbaren, konsistenten und zyklenfreien symbolischen Link anzubieten. In einer hierarchischen Sicht lässt sich durch Verweise ein Baum bilden, in dem eine Navigation und Verweisauflistung möglich sind, was außer ZIBDMS noch kein anderes System bietet.
    Description: The hierarchical organization of files has dominated computer systems for many years and this will probably not change in the near future. However, with the rapid annual growth of new data this classical hierarchical file system management method reaches its limitations, even when the user consistently sets up and continually expands an elaborated directory structure with well-disciplined naming. This paper introduces new management methods to maintain an overview of all files which can be embedded in the hierarchical file system. A metadata-based file system, which is based on the hierarchical file system, offers, in addition to hierarchical access, a more flexible and associative access to files via virtual objects by providing query capabilities of index- and metadata which are stored in a database. The query results are presented in a clearly-arranged form of virtual directories and virtual files so that the intuitive hierarchical view continues to be maintained. The data management system ZIBDMS, which contains a distributed metadata catalog and a file replication catalog, permits a transparent implementation of these management methods for the NFS interface, CORBA-middleware or web services. Furthermore, ZIBDMS provides other new file management methods that can be integrated into the hierarchical file system view. Metadata in form of attribute-value-pairs can be presented and edited with a virtual file. A Collection makes it possible to organize files in logical virtual folders. Using a Dependency graph, files can be related to each other and expressed through a link structure between these files. In the ZIBDMS the reference concept of a classical hierarchal file system is extended with a new kind of reference called Weak Link in order to provide up-to-date, consistent and cycle-free symbolic links. With the references a tree can be established in a hierarchical view in which navigation and listing of references are possible; this capability is only possible in the ZIBDMS system.
    Keywords: ddc:000
    Language: German
    Type: masterthesis , doc-type:masterThesis
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  • 68
    Publication Date: 2014-02-26
    Description: Zeitschriften und andere Medien werden in wachsendem Maße elektronisch publiziert. Hier entsteht für die Bibliotheken, welche diese Online-Publikationen ihren Lesern zur Verfügung stellen, ein neuer Bereich der Informationsvermittlung. Mit dem aufkommenden Standard der OpenURL ergeben sich neue Möglichkeiten, dem Benutzer weiterführende Links und Dienste anzubieten. Das Document-Linking-System SFX der Firma Ex Libris ist die erste und bekannteste Anwendung, die ein Managementsystem fr die Auswertung der OpenURL implementiert. Im Rahmen eines Projektes hat die Zentrale des Kooperativen Bibliotheksverbundes Berlin-Brandenburg (KOBV) eine Evaluation von SFX durchgeführt. Als Ergebnis der Evaluation sollten Einsatzmöglichkeiten von SFX für die KOBV-Suchmaschine und in den lokalen Bibliothekssystemen und Informationsportalen aufgezeigt werden. Im Verlauf des Projektes hat sich das Produkt SFX als eine stabile Anwendung erwiesen, die dem Benutzer interessante zusätzliche Dienste bieten kann.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 69
    Publication Date: 2014-02-26
    Description: In this work we present an approach for the sensitivity analysis of linearly-implicit differential-algebraic equation systems. Solutions for both, states and sensitivities are obtained by applying an extrapolated linearly implicit Euler discretization scheme. This approach is compared to the widely used sensitivity extensions of multi-step BDF methods by means of case studies. Especially, we point out the benefit of this method in the context of dynamic optimization using the sequential approach.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 70
    Publication Date: 2014-09-30
    Description: Decomposition of the high dimensional conformational space of bio-molecules into metastable subsets is used for data reduction of long molecular trajectories in order to facilitate chemical analysis and to improve convergence of simulations within these subsets. The metastability is identified by the Perron-cluster cluster analysis of a Markov process that generates the thermodynamic distribution. A necessary prerequisite of this analysis is the discretization of the conformational space. A combinatorial approach via discretization of each degree of freedom will end in the so called ''curse of dimension''. In the following paper we analyze Hybrid Monte Carlo simulations of small, drug-like biomolecules and focus on the dihedral degrees of freedom as indicators of conformational changes. To avoid the ''curse of dimension'', the projection of the underlying Markov operator on each dihedral is analyzed according to its metastability. In each decomposition step of a recursive procedure, those significant dihedrals, which indicate high metastability, are used for further decomposition. The procedure is introduced as part of a hierarchical protocol of simulations at different temperatures. The convergence of simulations within metastable subsets is used as an ''a posteriori'' criterion for a successful identification of metastability. All results are presented with the visualization program AmiraMol.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 71
    Publication Date: 2019-05-10
    Description: The adaptive finite element code {\sc Kardos} solves nonlinear parabolic systems of partial differential equations. It is applied to a wide range of problems from physics, chemistry, and engineering in one, two, or three space dimensions. The implementation is based on the programming language C. Adaptive finite element techniques are employed to provide solvers of optimal complexity. This implies a posteriori error estimation, local mesh refinement, and preconditioning of linear systems. Linearely implicit time integrators of {\em Rosenbrock} type allow for controlling the time steps adaptively and for solving nonlinear problems without using {\em Newton's} iterations. The program has proved to be robust and reliable. The user's guide explains all details a user of {\sc Kardos} has to consider: the description of the partial differential equations with their boundary and initial conditions, the triangulation of the domain, and the setting of parameters controlling the numerical algorithm. A couple of examples makes familiar to problems which were treated with {\sc Kardos}. We are extending this guide continuously. The latest version is available by network: {\begin{rawhtml} 〈A href="http://www.zib.de/Numerik/software/kardos/"〉 〈i〉 Downloads.〈/i〉〈/a〉 \end{rawhtml}}
    Keywords: ddc:000
    Language: English
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  • 72
    Publication Date: 2016-06-09
    Description: This article studies the relation of the two scientific languages Chemistry and Mathematics via three selected comparisons: (a) QSSA versus dynamic ILDM in reaction kinetics, (b) lumping versus discrete Galerkin methods in polymer chemistry, and (c) geometrical conformations versus metastable conformations in drug design. The common clear message from these comparisons is that chemical intuition may pave the way for mathematical concepts just as chemical concepts may gain from mathematical precisioning. Along this line, significant improvements in chemical research and engineering have already been possible -- and can be further expected in the future from the dialogue between the two scientific languages.
    Keywords: ddc:000
    Language: English
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  • 73
    Publication Date: 2014-11-10
    Description: Several sets of reductions rules are known for preprocessing a graph when computing its treewidth. In this paper, we give reduction rules for a weighted variant of treewidth, motivated by the analysis of algorithms for probabilistic networks. We present two general reduction rules that are safe for weighted treewidth. They generalise many of the existing reduction rules for treewidth. Experimental results show that these reduction rules can significantly reduce the problem size for several instances of real-life probabilistic networks.
    Keywords: ddc:000
    Language: English
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  • 74
    Publication Date: 2014-02-26
    Description: Signaling is crucial to the operation of modern telecommunication networks. A breakdown in the signaling infrastructure typically causes customer service failures, incurs revenue losses, and hampers the company image. Therefore, the signaling network has to be highest reliability and survivability. This in particular holds for the routers in such a network, called \textit{signaling transfer points\/} (STPs). The robustness of an STP can be improved by equally distributing the load over the internal processing units. Several constraints have to be taken into account. The load of the links connected to a processing unit changes over time introducing an imbalance of the load. In this paper, we show how integer linear programming can be applied to reduce the imbalance within an STP, while keeping the number of changes small. Two alternative models are presented. Computational experiments validate the integer programming approach in practice. The GSM network operator E-Plus saves substantial amounts of time and money by employing the proposed approach.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 75
    facet.materialart.
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    Publication Date: 2019-10-24
    Keywords: ddc:000
    Language: German
    Type: annualzib , doc-type:report
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  • 76
    Publication Date: 2020-11-13
    Description: In the problem of \emph{Online Call Admission in Optical Networks}, briefly called \textsc{oca}, we are given a graph $G=(V,E)$ together with a set of wavelengths~$W$ and a finite sequence $\sigma=r_1,r_2,\dots$ of calls which arrive in an online fashion. Each call~$r_j$ specifies a pair of nodes to be connected and an integral demand indicating the number of required lightpaths. A lightpath is a path in~$G$ together with a wavelength~$\lambda \in W$. Upon arrival of a call, an online algorithm must decide immediately and irrevocably whether to accept or to reject the call without any knowledge of calls which appear later in the sequence. If the call is accepted, the algorithm must provide the requested number of lightpaths to connect the specified nodes. The essential restriction is the wavelength conflict constraint: each wavelength is available only once per edge, which implies that two lightpaths sharing an edge must have different wavelengths. Each accepted call contributes a benefit equal to its demand to the overall profit. The objective in \textsc{oca} is to maximize the overall profit. Competitive algorithms for \textsc{oca} have been known for the special case where every call requests just a single lightpath. In this paper we present the first competitive online algorithms for the general case of larger demands.
    Keywords: ddc:000
    Language: English
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  • 77
    Publication Date: 2020-11-13
    Description: Traditional optimization techniques assume, in general, knowledge of all data of a problem instance. There are many cases in practice, however, where decisions have to be made before complete information about the data is available. In fact, it may be necessary to produce a part of the problem solution as soon as a new piece of information becomes known. This is called an \emph{online situation}, and an algorithm is termed \emph{online}, if it makes a decision (computes a partial solution) whenever a new piece of data requests an action. \emph{Competitive analysis} has become a standard yardstick to measure the quality of online algorithms. One compares the solution produced by an online algorithm to that of an optimal (clairvoyant) offline algorithm. An online algorithm is called $c$-competitive if on every input the solution it produces has cost'' at most $c$~times that of the optimal offline algorithm. This situation can be imagined as a game between an online player and a malicious adversary. Although competitive analysis is a worst-case analysis and henceforth pessimistic, it often allows important insights into the problem structure. One can obtain an idea about what kind of strategies are promising for real-world systems and why. On the other hand there are also cases where the offline adversary is simply too powerful and allows only trivial competitiveness results. This phenomenon is called hitting the triviality barrier''. We investigate several online problems by means of competitive analysis. We also introduce new concepts to overcome the weaknesses of the standard approach and to go beyond the triviality barrier.
    Keywords: ddc:000
    Language: English
    Type: doctoralthesis , doc-type:doctoralThesis
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  • 78
    Publication Date: 2014-02-26
    Description: The paper deals with the two-class priority M/M/1 system, where the prioritized class-1 customers are served under FCFS preemptive resume discipline and may become impatient during their waiting for service with generally distributed maximal waiting times but finite expectation. The class-2 customers have no impatience. The required mean service times may depend on the class of the customer. As the dynamics of class-1 customers are related to the well analyzed M/M/1+GI system, our aim is to derive characteristics for class-2 customers and for the whole system. The solution of the balance equations for the partial probability generating functions of the detailed system state process is given in terms of the weak solution of a family of boundary value problems for ordinary differential equations. By means of this solution formulae for the joint occupancy distribution and for the sojourn and waiting times of class-2 customers are derived generalizing results recently obtained by Choi et al. in case of deterministic maximal waiting times. For deterministic maximal waiting times partially new explicit formulae are given.
    Keywords: ddc:000
    Language: English
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  • 79
    Publication Date: 2016-06-09
    Description: The bio-heat transfer equation is a macroscopic model for describing the heat transfer in microvascular tissue. So far the deduction of the Helmholtz term in the bio-heat transfer equation is not co role. In view of a future numerical application of this new mathematical model to treatment planning in hyperthermia we derive asymptotic estimates for first and second order correctors.
    Keywords: ddc:000
    Language: English
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  • 80
    Publication Date: 2021-08-05
    Description: Mixed integer programs ($MIPs$) are commonly solved with branch and bound algorithms based on linear programming. The success and the speed of the algorithm strongly depends on the strategy used to select the branching variables. Today's state-of-the-art strategy is called \emph{pseudocost branching} and uses information of previous branchings to determine the current branching. We propose a modification of \emph{pseudocost branching} which we call \emph{history branching}. This strategy has been implemented in $SIP$, a state-of-the-art $MIP$ solver. We give computational results that show the superiority of the new strategy.
    Keywords: ddc:000
    Language: English
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  • 81
    Publication Date: 2020-11-13
    Description: We consider the design of transparent optical networks from a practical perspective. Network operators aim at satisfying the communication demands at minimum cost. Such an optimization involves three interdependent planning issues: the dimensioning of the physical topology, the routing of lightpaths, and the wavelength assignment. Further topics include the reliability of the configuration and sparse wavelength conversion for efficient use of the capacities. In this paper, we investigate this extensive optical network design task. Using a flexible device-based model, we present an integer programming formulation that supports greenfield planning as well as expansion planning on top of an existing network. As solution method, we propose a suitable decomposition approach that separates the wavelength assignment from the dimensioning and routing. Our method in particular provides a lower bound on the total cost which allows to rate the solution quality. Computational experiments on realistic networks approve the solution approach to be appropriate.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 82
    Publication Date: 2020-11-13
    Description: Today's telecommunication networks are configured statically. Whenever a connection is established, the customer has permanent access to it. However, it is observed that usually the connection is not used continuously. At this point, dynamic provisioning could increase the utilization of network resources. WDM based Optical Transport Networks (OTNs) will shortly allow for fast dynamic network reconfiguration. This enables optical broadband leased line services on demand. Since service requests competing for network resources may lead to service blocking, it is vital to use appropriate strategies for routing and wavelength assignment in transparent optical networks. We simulate the service blocking probabilities of various dynamic algorithms for this problem using a well-founded traffic model for two realistic networks. One of the algorithms using shortest path routings performs best on all instances. Surprisingly, the tie-breaking rule between equally short paths in different wavelengths decides between success or failure.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 83
    Publication Date: 2020-11-13
    Description: Nachdem mit der KOBV-Suchmaschine die Online-Recherche in den wichtigsten Berliner und Brandenburgischen Bibliotheken realisiert ist, gehört der Aufbau der Online-Fernleihe als einer neuen, nutzerfreundlichen Dienstleistung zu den drängendsten Desideraten des KOBV. Dem Nutzer soll ein komfortabler Service geboten werden, der ihm im Anschluss an eine erfolgreiche Recherche die nahtlose - per Knopfdruck ausgelöste - Fernleih-Bestellung auf das gewünschte Medium erlaubt. Gleichzeitig trägt die Ablösung des traditionellen, per Post und Bücherauto versandten Roten Fernleihscheines durch eine sekundenschnelle Online-Kommunikation zu einer erheblichen Beschleunigung des Fernleih-Verfahrens bei. Der KOBV beteiligt sich an der Initiative der deutschen Bibliotheksverbünde zur Automatisierung und Beschleunigung der Fernleihe. Die Realisierung soll im KOBV in einem zweistufigen Verfahren erfolgen: (1) verbundinterne Fernleihe im KOBV und (2) verbundübergreifende Fernleihe in der Zusammenarbeit mit den anderen Verbünden. Eine Verbund-Fernleih-Software für den KOBV muss insbesondere den KOBV-spezifischen Gegebenheiten genügen, die in dieser Form in den anderen deutschen Verbünden nicht anzutreffen sind. Im Jahre 2001 hat eine KOBV-Arbeitsgruppe Spezifikationen für eine Verbund-Fernleih-Software erarbeitet, in der die Besonderheiten des KOBV mit berücksichtigt sind. Beim Aufbau der automatisierten Fernleihe als einer regulären KOBV-Dienstleistung geht es nicht allein darum, einen schnellen, komfortablen Service für Nutzer einzurichten, sondern darüber hinaus um eine weitreichende Rationalisierung innerhalb der Bibliotheken. Das vorliegende Spezifikationspapier zielt auf beide Faktoren ab, indem es die Fernleihe als integrierten Dienst entwirft, der von der Bestellung bis zur Bereitstellung des Mediums in der gebenden Bibliothek automatisiert - ohne manuelles Eingreifen der Fernleihstelle - abläuft: die jetzige manuell durchgeführte Fernleihe wird durch die automatisierte Fernleihe abgelöst.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 84
    Publication Date: 2020-12-14
    Description: In the online traveling salesman problem $OLTSP$ requests for visits to cities arrive online while the salesman is traveling. We study the $F{\_max}-OLTSP$ where the objective is to minimize the maximum flow time. This objective is particularly interesting for applications. Unfortunately, there can be no competitive algorithm, neither deterministic nor randomized. Hence, competitive analysis fails to distinguish online algorithms. Not even resource augmentation which is helpful in scheduling works as a remedy. This unsatisfactory situation motivates the search for alternative analysis methods. We introduce a natural restriction on the adversary for the $F{\_max}-OLTSP$ on the real line. A \emph{non-abusive adversary} may only move in a direction if there are yet unserved requests on this side. Our main result is an algorithm which achieves a constant competitive ratio against the non-abusive adversary.
    Keywords: ddc:000
    Language: English
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  • 85
    Publication Date: 2016-06-30
    Description: While attribute-value pairs are a popular method to name objects, information retrieval from those attribute-based namespaces is not an easy task. The user has to recall correct attribute names and values and master the syntax and semantics of query formulation. This paper describes hierarchical structures in attribute-based namespaces, shows how to extract them efficiently and evaluates the quality of these structures in an user experiment. It proposes an user interface for browsing attribute-named object sets which makes this task resemble todays file-system browsers and compares the usability of this interface to normal form-based methods in an user study.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 86
    Publication Date: 2014-02-26
    Description: In this paper, we quantify and discuss the physical and surface chemical processes leading to the formation, temporal evolution and sedimentation of dust grains in brown dwarf and giant gas planet atmospheres: nucleation, growth, evaporation and gravitational settling. Considering dust particles of arbitrary sizes in the different hydrodynamical regimes (free molecular flow, laminar flow, turbulent flow), we evaluate the equilibrium drift velocities (final fall speeds) and the growth rates of the particles due to accretion of molecules. We show that a depth-dependent maximum size of the order of $a_{\rm max}\!\approx\!1\,\mu{\rm m\,(upper\ regions)} \ldots 100\,\mu{\rm m\,(lower\ regions)}$ exists, which depends on the condensate and the stellar parameters, beyond which gravitational settling is faster than growth. Larger particles can probably not be formed and sustained in brown dwarf atmospheres. We furthermore argue that the acceleration towards equilibrium drift is always very fast and that the temperature increase of the grains due to the release of latent heat during the growth process is negligible. Based on these findings, we formulate the problem of dust formation coupled to the local element depletion/enrichment of the gas in brown dwarf atmospheres by means of a system of partial differential equations. These equations state an extension of the moment method developed by Gail\plus Sedlmayr\,(1988) with an additional advective term to account for the effect of size-dependent drift velocities of the grains. A dimensionless analysis of the new equations reveals a hierarchy of nucleation $\to$ growth $\to$ drift $\to$ evaporation, which characterises the life cycle of dust grains in brown dwarf atmospheres. The developed moment equations can be included into hydrodynamics or classical stellar atmosphere models. Applications of this description will be presented in a forthcoming paper of this series.
    Keywords: ddc:000
    Language: English
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  • 87
    Publication Date: 2021-01-21
    Description: Global grid environments do not only provide massive aggregated computing power but also an unprecedented amount of distributed storage space. Unfortunately, dynamic changes caused by component failures, local decisions, and irregular data updates make it difficult to efficiently use this capacity. In this paper, we address the problem of improving data availability in the presence of unreliable components. We present an analytical model for determining an optimal combination of distributed replica catalogs, catalog sizes, and replica servers. Empirical simulation results confirm the accuracy of our theoretical analysis. Our model captures the characteristics of highly dynamic environments like peer-to-peer networks, but it can also be applied to more centralized, less dynamic grid environments like the European {\em DataGrid}.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 88
    Publication Date: 2021-01-22
    Description: Das Management von großen Datenmengen spielt eine immer wichtigere Rolle, wie aktuelle Entwicklungen in der Hochenergiephysik [2] zeigen. Für das DataGrid-Projekt zum Beispiel ist es notwendig, große Datenmengen auf mehrere Rechenzentren in Europa zu verteilen und die Daten untereinander zu synchronisieren. Auch innerhalb von Clustern gewinnen mit zunehmender Anzahl der Knoten Werkzeuge zur effizienten Synchronisation und Verteilung von Daten an Bedeutung. Im Rahmen dieser Arbeit wurde ein effizientes Verfahren zur Synchronisation von verteilten Verzeichnisstrukturen entwickelt und implementiert. Mit diesem Verfahren ist es möglich, unabhängige Änderungen an beliebigen Repositories gleichzeitig durchzuführen. Das Verfahren benötigt keine zentrale Instanz, wodurch eine gegenüber vielen existierenden Verfahren verbesserte Skalierbarkeit erreicht werden konnte. Dabei wurden Erkenntnisse aus der Graphentheorie eingesetzt und weiterentwickelt, um die Netzwerktopolo-gie und -handbreiten zwischen den Rechnern zu berücksichtigen. Durch die Verwendung einer Offline-Synchronisation werden Änderungen erst dann an andere Rechner propagiert, wenn der Nutzer dies anstößt. Das kann zum Beispiel nach einer abgeschlossenen Transaktion, die Änderungen an mehreren Dateien beinhaltet, angemessen sein.
    Description: Current developments in high energy physics [2] show that the management of large datasets plays an important role. For the DataGrid project it is necessary to distribute large datasets over several computing centers all over Europe and to synchronize these datasets. Within clusters tools for efficient synchronization and distribution of data become more important, too. In this thesis, a method to synchronize distributed directory structures was developed and implemented which makes it possible to perform independent changes to arbitrary repositories simultaneously. This method needs no central instance and therefore the presented system achieves a better scalability than many existing systems. Knowledge from graph theory was used and improved to take the network topology and the network bandwidth between the computers into account. By using offline synchronization, changes will only be propagated when the user initiates it. This can be reasonable after a completed transaction which consists of changes on several files.
    Keywords: ddc:000
    Language: German
    Type: masterthesis , doc-type:masterThesis
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  • 89
    Publication Date: 2020-11-17
    Description: An instance of the \emph{maximum coverage} problem is given by a set of weighted ground elements and a cost weighted family of subsets of the ground element set. The goal is to select a subfamily of total cost of at most that of a given budget maximizing the weight of the covered elements. We formulate the problem on graphs: In this situation the set of ground elements is specified by the nodes of a graph, while the family of covering sets is restricted to connected subgraphs. We show that on general graphs the problem is polynomial time solvable if restricted to sets of size at most~$2$, but becomes NP-hard if sets of size~$3$ are permitted. On trees, we prove polynomial time solvability if each node appears in a fixed number of sets. In contrast, if vertices are allowed to appear an unbounded number of times, the problem is NP-hard even on stars. We finally give polynomial time algorithms for special cases where the subgraphs form paths and the host graph is a line, a cycle or a star.
    Keywords: ddc:000
    Language: English
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  • 90
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    Publication Date: 2014-02-26
    Description: Hinter der für den Uneingeweihten etwas kryptischen Frage "P = NP?" verbirgt sich das derzeit wichtigste Problem der Komplexitätstheorie. Dieser Artikel erläutert einige Aspekte der Theorie und erklärt informell, was "P = NP?" bedeutet. Es geht nicht nur um komplizierte algorithmische Mathematik und Informatik, sondern um grundsätzliche Fragen unserer Lebensumwelt. Kann man vielleicht beweisen, dass es für viele Probleme unseres Alltags keine effizienten Lösungsmethoden gibt?
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 91
    Publication Date: 2020-03-11
    Description: The Cooperative Library Network Berlin-Brandenburg (KOBV) has set the development of a genuine library information portal for the two German Lander (federal states) Berlin and Brandenburg as its main task for the next years. This joined effort is driven by the vision of an user friendly Internet information portal which is accessible anytime, from anywhere in the world. The idea of a regional information portal can be understood as the logically consistent development of the basic ideas of the KOBV. Starting in 1997, the consortia has set the implementation of a virtual OPAC instead of a physical union catalogue as its goal. The result was the KOBV-Search Engine which already has some qualities of a portal itself. The paper begins with initial remarks about the German library world, which do form the background for the project and its initiator - the KOBV consortia. After this preliminary part, different types of portals are introduced. The basic features of the KOBV-Search Engine as one of the cornerstones of the future portal are discussed in the following. The information portal will be much richer in content and services for the end-user. Two aspects are focused on in more detail: the presentation of resources, which becomes a compelling requirement because of the broader range of content and the personalization of services, as one important feature to suit user's individual needs.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 92
    Publication Date: 2019-01-29
    Description: The paper presents a particle method framework for resolving molecular dynamics. Error estimators for both the temporal and spatial discretization are advocated and facilitate a fully adaptive propagation. For time integration, the implicit trapezoidal rule is employed, where an explicit predictor enables large time steps. The framework is developed and exemplified in the context of the classical Liouville equation, where Gaussian phase-space packets are used as particles. Simplified variants are discussed shortly, which should prove to be easily implementable in common molecular dynamics codes. A concept is illustrated by numerical examples for one-dimensional dynamics in double well potential.
    Keywords: ddc:000
    Language: English
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  • 93
    Publication Date: 2019-01-29
    Description: The paper deals with three different Newton algorithms that have recently been worked out in the general frame of affine invariance. Of particular interest is their performance in the numerical solution of discretized boundary value problems (BVPs) for nonlinear partial differential equations (PDEs). Exact Newton methods, where the arising linear systems are solved by direct elimination, and inexact Newton methods, where an inner iteration is used instead, are synoptically presented, both in affine invariant convergence theory and in numerical experiments. The three types of algorithms are: (a) affine covariant (formerly just called affine invariant) Newton algorithms, oriented toward the iterative errors, (b) affine contravariant Newton algorithms, based on iterative residual norms, and (c) affine conjugate Newton algorithms for convex optimization problems and discrete nonlinear elliptic PDEs.
    Keywords: ddc:000
    Language: English
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  • 94
    Publication Date: 2014-02-26
    Description: In Analogie zu den Elektrizitätsnetzen electricity grid), von denen die technische Revolution ausging, wurde der Begriff Computational Grid (kurz Grid) geprägt. Ein wichtiger Bestandteil des Systems liegt im benutzerfreundlichen Zugang und der koordinierten Nutzung der weltweit verteilten Speicherressourcen und Rechnerkapazitäten. Bei der Entwicklung dazu notwendiger Technologien und Software (Middleware) profitiert man von Kenntnissen und Erfahrungen bei der Entwicklung verteilter Algorithmen, dem Software-Engineering und dem Supercomputing.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 95
    Publication Date: 2020-02-11
    Description: In this article we study the problem of designing a nation-wide communication network. Such networks usually consist of an access layer, a backbone layer, and maybe several intermediate layers. The nodes of each layer must be connected to those of the next layer in a tree-like fashion. The backbone layer has to satisfy certain survivability and routing constraints. Given the node locations, the demands between them, the possible connections and hardware configurations, and various other technical and administrational constraints, the goal is to decide, which node is assigned to which network level, how the nodes are connected, what hardware must be installed, and how traffic is routed in the backbone. Mixed integer linear programming models and solution methods are presented for both the access and the backbone network design problem. The focus is on the design of IP-over-SDH networks, but the access network design model and large parts of the backbone network design models are general and also applicable for other types of communication networks. Results obtained with these methods in the planning of the German research network are presented.
    Keywords: ddc:000
    Language: English
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  • 96
    Publication Date: 2021-02-19
    Description: We present an online algorithm for a real-world vehicle dispatching problem at ADAC, the German Automobile Association.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 97
    Publication Date: 2020-03-11
    Description: Eine fremddatengestützte Katalogisierung bedeutet für die einzelne Bibliothek unbestritten eine Zeit- und Kostenersparnis. Dieser Report beleuchtet die unterschiedlichen Faktoren technischer und organisatorischer Natur, die die Fremddatennutzung in der dezentralen Struktur des Kooperativen Bibliotheksverbundes Berlin-Brandenburg (KOBV) beeinflussen. Die Ausführungen stützen sich im Wesentlichen auf eine Umfrage, die die Autoren im Mai / Juni 2002 unter KOBV-Mitgliedsbibliotheken zum Thema Fremddatennutzung durchgeführt haben. Dargelegt wird, wie komfortabel die in den KOBV-Bibliotheken eingesetzten Bibliotheksinformationssysteme eine fremddatengestützte Katalogisierung erlauben. Diskutiert wird zudem die Software ZACK, die sich als Alternative zu einem eigenen Z39.50-Client zur Datenübernahme anbietet. Erstmals seit Bestehen des Verbundes werden Zahlen veröffentlicht über den Anteil der Bibliotheken, die Fremddaten nutzen und denjenigen, die dieses Angebot nicht wahrnehmen. Dabei wird die Fremddatenutzung differenziert sowohl für den Bereich der Neuaufnahmen als auch für die Retrokatalogisierung. In der weiteren Analyse werden zusätzliche Aspekte betrachtet wie z.B. die verfügbaren bzw. gewünschten Datenbanken im Verhältnis zum sprachlichen Spektrum des erworbenen Katalogisierungsgutes. Eingegangen wird auch auf die von den Bibliotheken genannten Hauptproblemen und die gewünschten zusätzlichen Serviceleistungen auf Seiten der KOBV-Verbundzentrale. Als Ergebnis dieses Status-Quo-Berichts legt das Autorenteam eine Reihe von Empfehlungen vor, die darauf abzielen, auch für KOBV-Bibliotheken in Zukunft eine Fremddatennutzungsquote von 70 - 75 % zu erreichen.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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  • 98
    Publication Date: 2014-02-26
    Description: Substellar atmospheres are cool and dense enough that dust forms very efficiently. As soon as these particles are formed, they sizedependently precipitate due to the large gravity of the objects. Arriving in hot atmospheric layers, the dust evaporates and enriches the gas by those elements from which it has formed. The upper atmospheric layers are depleted by the same elements. Non-continuous and spatially inhomogeneous convective element replenishment, generating a turbulent fluid field, completes the circuit of dust. The formation of dust in substellar atmosphere is described by extending the classical theory of Gail\plus Sedlmayr for the case of different gas and dust velocities. Turbulence is modeled in different scale regimes which reveals turbulence as trigger for dust formation in hot environments. Both mechanisms cause the dust to be present in else wise dust-hostile region: precipitation transports the dust into hot regions, and turbulence allows the formation of dust in there.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 99
    Publication Date: 2014-02-26
    Description: The talk given by the author at the CRM workshop on Superintegrability in Sep.\ 2002 and this related paper report on work in two subjects. One is the collaboration with Vladimir Sokolov and Takayuki Tsuchida in an effort to classify polynomial integrable vector evolution equations. The other is the computer algebra package {\sc Crack} which did the main computations in solving large bi-linear algebraic systems. Although originally designed to solve over-determined systems of partial differential equations a number of extensions made {\sc Crack} a powerful tool for solving systems of bi-linear algebraic equations. Such systems turn up in many different classification problems some of which were investigated by other participants of this workshop. Two additional applications are outlined. In the talk on which this article is based a method to reduce the length of equations was presented which proved to be useful in solving the bi-linear algebraic systems. Due to numerous asked questions about the computer program, a more complete overview is given in the appendix.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 100
    Publication Date: 2020-11-13
    Description: Die KOBV-Suchmaschine hat seit ihrer Inbetriebnahme Ende 1999 entscheidend zur Verbesserung der Informationsinfrastruktur in Berlin und Brandenburg beigetragen. Auf der Basis der offenen Plattform KOBV-Suchmaschine wird die KOBV-Zentrale gemeinsam mit den Bibliotheken in den nächsten Jahren das Dienstleistungsangebot des KOBV und seiner Bibliotheken kontinuierlich erweitern. Dabei sollen die Prinzipien des KOBV - Offenheit, Heterogenität und Dezentralität auf technischer und organisatorischer Ebene - gewahrt bleiben. Die einzelnen KOBV-Bibliotheken werden sich mit ihren Angeboten in unterschiedlicher Weise im Web positionieren. Die Integration auf regionaler Ebene kann und soll die lokalen Angebote nicht künstlich vereinheitlichen. Das kooperative Portal, das in der Region aufgebaut wird, ist als System geplant, in dem zentrales Portal und lokale Portale nicht hierarchisch einander zugeordnet, sondern miteinander vernetzt sind. Das \glqq KOBV-Informationsportal \grqq soll in der KOBV-Zentrale im Rahmen eines wissenschaftlichen Projektes von Mitte 2001 bis Ende 2003 aufgebaut werden. Das vorliegende Papier gibt einen ersten allgemeinen Einblick, welche Funktionen das \glqq KOBV-Informationsporta \grqq umfassen soll und stellt die Teilprojekte der 1. Stufe vor.
    Keywords: ddc:000
    Language: German
    Type: reportzib , doc-type:preprint
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