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A game theoretic framework for the robust railway transit network design problem

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  • Laporte, Gilbert
  • Mesa, Juan A.
  • Perea, Federico

Abstract

This paper proposes a game theoretic framework for the problem of designing an uncapacitated railway transit network in the presence of link failures and a competing mode. It is assumed that when a link fails, another path or another transportation mode is provided to transport passengers between the endpoints of the affected link. The goal is to build a network that optimizes a certain utility function when failures occur. The problem is posed as a non-cooperative two-player zero-sum game with perfect information. The saddle points of the corresponding mixed enlarged game yield robust network designs.

Suggested Citation

  • Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.
    • Handle: RePEc:eee:transb:v:44:y:2010:i:4:p:447-459
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    References listed on IDEAS

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