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A Note On A Single Vehicle And One Destination Routing Problem And Its Game-Theoretic Models

Author

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  • Andrzej Grzybowski

    (Czestochowa University of Technology)

Abstract

In the paper a shortest-time routing problem is considered. A decision- maker has to choose one of several possible routes for a vehicle which should reach its destination as soon as possible. The time required to reach the destination depends on the chosen route and the state of traffic flow in the region. Under the assumption that the latter can be reasonably categorized into finite number of states game-theoretic models of the problem are proposed. Some examples and practical questions are discussed as well

Suggested Citation

  • Andrzej Grzybowski, 2009. "A Note On A Single Vehicle And One Destination Routing Problem And Its Game-Theoretic Models," Advanced Logistic systems, University of Miskolc, Department of Material Handling and Logistics, vol. 3(1), pages 71-76, December.
    • Handle: RePEc:pcz:alspcz:v:3:y:2009:i:1:p:71-76
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    References listed on IDEAS

    as
    1. Bektas, Tolga, 2006. "The multiple traveling salesman problem: an overview of formulations and solution procedures," Omega, Elsevier, vol. 34(3), pages 209-219, June.
    2. Arantza Estévez-Fernández & Peter Borm & Marc Meertens & Hans Reijnierse, 2009. "On the core of routing games with revenues," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 291-304, June.
    3. Epstein, Amir & Feldman, Michal & Mansour, Yishay, 2009. "Efficient graph topologies in network routing games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 115-125, May.
    4. Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2007. "Stackelberg games and multiple equilibrium behaviors on networks," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 841-861, October.
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    Cited by:

    1. Andrzej Grzybowski, 2010. "Probabilistic Model Of A Single Vehicle And One Destination Routing Problem And Its Monte Carlo Solutions," Advanced Logistic systems, University of Miskolc, Department of Material Handling and Logistics, vol. 4(1), pages 53-60, December.

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