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  • 2020-2023
  • 2010-2014  (26)
  • 2005-2009
  • 2012  (26)
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  • 2020-2023
  • 2010-2014  (26)
  • 2005-2009
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  • 11
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    Integrated Optimization of Rolling Stock Rotations for Intercity Railways (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: This paper provides a highly integrated solution approach for rolling stock planning problems in the context of intercity passenger traffic. The main contributions are a generic hypergraph based mixed integer programming model and an integrated algorithm for the considered rolling stock rotation planning problem. The new developed approach is able to handle a very large set of industrial railway requirements, such as vehicle composition, maintenance constraints, infrastructure capacity, and regularity aspects. By the integration of this large bundle of technical railway aspects, we show that our approach has the power to produce implementable rolling stock rotations for our industrial cooperation partner DB Fernverkehr. This is the first time that the rolling stock rotations at DB Fernverkehr could be optimized by an automated system utilizing advanced mathematical programming techniques.
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/pdf
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  • 12
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    Optimizing Toll Enforcement in Transportation Networks: a Game-Theoretic Approach (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: We present a game-theoretic approach to optimize the strategies of toll enforcement on a motorway network. In contrast to previous approaches, we consider a network with an arbitrary topology, and we handle the fact that users may choose their Origin-Destination path; in particular they may take a detour to avoid sections with a high control rate. We show that a Nash equilibrium can be computed with an LP (although the game is not zero-sum), and we give a MIP for the computation of a Stackelberg equilibrium. Experimental results based on an application to the enforcement of a truck toll on German motorways are presented.
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/pdf
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  • 13
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    Optimizing the Simplon railway corridor (2012)
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    Publikationsdatum: 2020-08-05
    Sprache: Englisch
    Materialart: article , doc-type:article
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  • 14
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    A Note on Menger's Theorem for Hypergraphs (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: We prove the companion Theorem to Menger's Theorem for hypergraphs. This result gives rise to a new class of blocking pairs of ideal matrices, that generalize the incidence matrices of cuts and paths.
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/pdf
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  • 15
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    Minimum Cost Hyperassignments with Applications to ICE/IC Rotation Planning (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: Vehicle rotation planning is a fundamental problem in rail transport. It decides how the railcars, locomotives, and carriages are operated in order to implement the trips of the timetable. One important planning requirement is operational regularity, i.e., using the rolling stock in the same way on every day of operation. We propose to take regularity into account by modeling the vehicle rotation planning problem as a minimum cost hyperassignment problem (HAP). Hyperassignments are generalizations of assignments from directed graphs to directed hypergraphs. Finding a minimum cost hyperassignment is NP-hard. Most instances arising from regular vehicle rotation planning, however, can be solved well in practice. We show that, in particular, clique inequalities strengthen the canonical LP relaxation substantially.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
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  • 16
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    Duty Scheduling Templates (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: We propose duty templates as a novel concept to produce similar duty schedules for similar days of operation in public transit. Duty templates can conveniently handle various types of similarity requirements, and they can be implemented with ease using standard algorithmic techniques. They have produced good results in practice.
    Sprache: Englisch
    Materialart: article , doc-type:article
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  • 17
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    A Stackelberg game to optimize the distribution of controls in transportation networks (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: We propose a game theoretic model for the spatial distribution of inspectors on a transportation network. The problem is to spread out the controls so as to enforce the payment of a transit toll. We formulate a linear program to find the control distribution which maximizes the expected toll revenue, and a mixed integer program for the problem of minimizing the number of evaders. Furthermore, we show that the problem of finding an optimal mixed strategy for a coalition of $N$ inspectors can be solved efficiently by a column generation procedure. Finally, we give experimental results from an application to the truck toll on German motorways.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
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  • 18
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    A Direct Connection Approach to Integrated Line Planning and Passenger Routing (2012)
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    Publikationsdatum: 2020-08-05
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
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  • 19
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    A Binary Quadratic Programming Approach to the Vehicle Positioning Problem (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: The Vehicle Positioning Problem (VPP) consists of the assignment of vehicles (buses, trams or trains) of a public transport or railway company to parking positions in a depot and to timetabled trips. Such companies have many different types of vehicles, and each trip can be performed only by vehicles of some of these types. These assignments are non-trivial due to the topology of depots. The parking positions are organized in tracks, which work as one- or two-sided stacks or queues. If a required type of vehicle is not available in the front of any track, shunting movements must be performed in order to change vehicles' positions, which is undesirable and should be avoided. In this text we present integer linear and non-linear programming formulations for some versions of the problem and compare them from a theoretical and a computational point of view.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
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  • 20
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    An IP Approach to Toll Enforcement Optimization on German Motorways (2012)
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    Publikationsdatum: 2020-08-05
    Beschreibung: This paper proposes the first model for toll enforcement optimization on German motorways. The enforcement is done by mobile control teams and our goal is to produce a schedule achieving network-wide control, proportional to spatial and time-dependent traffic distributions. Our model consists of two parts. The first plans control tours using a vehicle routing approach with profits and some side constraints. The second plans feasible rosters for the control teams. Both problems can be modeled as Multi-Commodity Flow Problems. Adding additional coupling constraints produces a large-scale integrated integer programming formulation. We show that this model can be solved to optimality for real world instances associated with a control area in East Germany.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
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