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Finding delay-resistant line concepts using a game-theoretic approach

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  • Anita Schöbel
  • Silvia Schwarze

Abstract

We present a game-theoretic model for the line planning problem in public transportation, in which each line acts as player. Each player aims to minimize its own delay, which is dependent on the traffic load along its edges. We show that there exists a line plan at equilibrium, which minimizes the probability of delays of the transportation system. This result is achieved by showing that a potential function exists. Numerical results using close-to-real world data in the LinTim framework clearly show that our method indeed produces delay-resistant line concepts. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Anita Schöbel & Silvia Schwarze, 2013. "Finding delay-resistant line concepts using a game-theoretic approach," Netnomics, Springer, vol. 14(3), pages 95-117, November.
    • Handle: RePEc:kap:netnom:v:14:y:2013:i:3:p:95-117
    DOI: 10.1007/s11066-013-9080-x
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    References listed on IDEAS

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    Cited by:

    1. Schiewe, Alexander & Schiewe, Philine & Schmidt, Marie, 2019. "The line planning routing game," European Journal of Operational Research, Elsevier, vol. 274(2), pages 560-573.
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    3. Gattermann, P. & Schiewe, A. & Schmidt, M.E., 2014. "The line planning routing game," ERIM Report Series Research in Management ERS-2014-017-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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