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  • ZIB Catalog  (2)
  • Opus Repository ZIB  (238)
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  • 1
    Book
    Book
    Evaluating gas network capacities / (2015)
    Philadelphia ; s.l. :Society for Industrial and Applied Mathematics, | Mathematical Optimization Society
    Details
    Title: Evaluating gas network capacities /
    Contributer: Koch, Thorsten
    Publisher: Philadelphia ; s.l. :Society for Industrial and Applied Mathematics, , Mathematical Optimization Society
    Year of publication: 2015
    Pages: XV,364
    Series Statement: MOS-SIAM series on optimization
    ISBN: 978-1-611973-68-6
    Type of Medium: Book
    Language: English
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  • 2
    Book
    Book
    Rapid mathematical programming / (2004)
    Details
    Title: Rapid mathematical programming /
    Contributer: Koch, Thorsten
    Edition: 1
    Year of publication: 2004
    Pages: XII, 205 S.
    Dissertation note: Berlin, Techn. Univ., Diss., 2004
    Type of Medium: Book
    Language: English
    URL: http://edocs.tu-berlin.de/diss/2004/koch_thorsten.htm
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  • 3
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    On the Effects of Minor Changes in Model Formulations (2008)
    Details
    Publication Date: 2021-08-05
    Description: Starting with the description of the Traveling Salesmen Problem formulation as given by van Vyve and Wolsey in the article Approximate extended formulations'', we investigate the effects of small variations onto the performance of contemporary mixed integer programming solvers. We will show that even minor changes in the formulation of the model can result in performance difference of more than a factor of 1000. As the results show it is not obvious which changes will result in performance improvements and which not.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Format: application/postscript
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  • 4
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    Steiner Tree Packing Revisited (2012)
    Details
    Publication Date: 2020-08-05
    Description: The Steiner tree packing problem (STPP) in graphs is a long studied problem in combinatorial optimization. In contrast to many other problems, where there have been tremendous advances in practical problem solving, STPP remains very difficult. Most heuristics schemes are ineffective and even finding feasible solutions is already NP-hard. What makes this problem special is that in order to reach the overall optimal solution non-optimal solutions to the underlying NP-hard Steiner tree problems must be used. Any non-global approach to the STPP is likely to fail. Integer programming is currently the best approach for computing optimal solutions. In this paper we review some “classical” STPP instances which model the underlying real world application only in a reduced form. Through improved modelling, including some new cutting planes, and by emplyoing recent advances in solver technology we are for the first time able to solve those instances in the original 3D grid graphs to optimimality.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 5
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    Optimierung Technischer Kapazitäten in Gasnetzen (2012)
    Details
    Publication Date: 2021-01-22
    Description: Die mittel- und längerfristige Planung für den Gastransport hat sich durch Änderungen in den regulatorischen Rahmenbedingungen stark verkompliziert. Kernpunkt ist die Trennung von Gashandel und -transport. Dieser Artikel diskutiert die hieraus resultierenden mathematischen Planungsprobleme, welche als Validierung von Nominierungen und Buchungen, Bestimmung der technischen Kapazität und Topologieplanung bezeichnet werden. Diese mathematischen Optimierungsprobleme werden vorgestellt und Lösungsansätze skizziert.
    Language: German
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 6
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    Solving mixed integer linear and nonlinear problems using the SCIP Optimization Suite (2012)
    Details
    Publication Date: 2022-03-14
    Description: This paper introduces the SCIP Optimization Suite and discusses the capabilities of its three components: the modeling language Zimpl, the linear programming solver SoPlex, and the constraint integer programming framework SCIP. We explain how these can be used in concert to model and solve challenging mixed integer linear and nonlinear optimization problems. SCIP is currently one of the fastest non-commercial MIP and MINLP solvers. We demonstrate the usage of Zimpl, SCIP, and SoPlex by selected examples, we give an overview of available interfaces, and outline plans for future development.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 7
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    SCIP Optimization Suite を利用した 混合整数(線形/非線形) 計画問題の解法 (2012)
    Details
    Publication Date: 2022-03-14
    Description: この論文ではソフトウェア・パッケージSCIP Optimization Suite を紹介し，その３つの構成要素：モデリン グ言語Zimpl, 線形計画（LP: linear programming) ソルバSoPlex, そして，制約整数計画(CIP: constraint integer programming) に対するソフトウェア・フレームワークSCIP, について述べる．本論文では，この３つの 構成要素を利用して，どのようにして挑戦的な混合整数線形計画問題(MIP: mixed integer linear optimization problems) や混合整数非線形計画問題(MINLP: mixed integer nonlinear optimization problems) をモデル化 し解くのかを説明する．SCIP は，現在，最も高速なMIP,MINLP ソルバの１つである．いくつかの例により， Zimpl, SCIP, SoPlex の利用方法を示すとともに，利用可能なインタフェースの概要を示す．最後に，将来の開 発計画の概要について述べる．
    Description: This paper introduces the SCIP Optimization Suite and discusses the capabilities of its three components: the modeling language Zimpl, the linear programming solver SoPlex, and the constraint integer programming framework SCIP. We explain how in concert these can be used to model and solve challenging mixed integer linear and nonlinear optimization problems. SCIP is currently one of the fastest non-commercial MIP and MINLP solvers. We demonstrate the usage of Zimpl, SCIP, and SoPlex by selected examples, we give an overview over available interfaces, and outline plans for future development.
    Language: Japanese
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 8
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    A Hybrid Branch-and-Bound Approach for Exact Rational Mixed-Integer Programming (2012)
    Details
    Publication Date: 2021-02-01
    Description: We present an exact rational solver for mixed-integer linear programming that avoids the numerical inaccuracies inherent in the floating-point computations used by existing software. This allows the solver to be used for establishing theoretical results and in applications where correct solutions are critical due to legal and financial consequences. Our solver is a hybrid symbolic/numeric implementation of LP-based branch-and-bound, using numerically-safe methods for all binding computations in the search tree. Computing provably accurate solutions by dynamically choosing the fastest of several safe dual bounding methods depending on the structure of the instance, our exact solver is only moderately slower than an inexact floating-point branch-and-bound solver. The software is incorporated into the SCIP optimization framework, using the exact LP solver QSopt_ex and the GMP arithmetic library. Computational results are presented for a suite of test instances taken from the MIPLIB and Mittelmann libraries and for a new collection of numerically difficult instances.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 9
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    Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions (2012)
    Details
    Publication Date: 2021-03-16
    Description: In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints. We describe a two-stage approach to solve the resulting complex and numerically difficult mixed-integer non-convex nonlinear feasibility problem. The first phase consists of four distinct algorithms facilitating mixed-integer linear, mixed-integer nonlinear, reduced nonlinear, and complementarity constrained methods to compute possible settings for the discrete decisions. The second phase employs a precise continuous nonlinear programming model of the gas network. Using this setup, we are able to compute high quality solutions to real-world industrial instances whose size is significantly larger than networks that have appeared in the literature previously.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Format: application/pdf
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  • 10
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    Mathematical Optimization for Challenging Network Planning Problems in Unbundled Liberalized Gas Markets (2013)
    Details
    Publication Date: 2021-03-16
    Description: The recently imposed new gas market liberalization rules in Germany lead to a change of business of gas network operators. While previously network operator and gas vendor where united, they were forced to split up into independent companies. The network has to be open to any other gas trader at the same conditions, and free network capacities have to be identified and publicly offered in a non-discriminatory way. We show that these new paradigms lead to new and challenging mathematical optimization problems. In order to solve them and to provide meaningful results for practice, all aspects of the underlying problems, such as combinatorics, stochasticity, uncertainty, and nonlinearity, have to be addressed. With such special-tailored solvers, free network capacities and topological network extensions can, for instance, be determined.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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