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A Strategic Markovian Traffic Equilibrium Model for Capacitated Networks

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  • Maëlle Zimmermann

    (Department of Computer Science and Operations Research, Université de Montréal, Montréal, Quebec H3T 1N8, Canada; Interuniversity Research Centre on Enterprise Networks, Logistics, and Transportation, Montréal, Quebec H3T 1N8, Canada)

  • Emma Frejinger

    (Department of Computer Science and Operations Research, Université de Montréal, Montréal, Quebec H3T 1N8, Canada; Interuniversity Research Centre on Enterprise Networks, Logistics, and Transportation, Montréal, Quebec H3T 1N8, Canada)

  • Patrice Marcotte

    (Department of Computer Science and Operations Research, Université de Montréal, Montréal, Quebec H3T 1N8, Canada; Interuniversity Research Centre on Enterprise Networks, Logistics, and Transportation, Montréal, Quebec H3T 1N8, Canada)

Abstract

In the realm of traffic assignment over a network involving rigid arc capacities, the aim of the present work is to generalize the model of Marcotte, Nguyen, and Schoeb [Marcotte P, Nguyen S, Schoeb A (2004) A strategic flow model of traffic assignment in static capacitated networks. Oper. Res. 52(2):191–212.] by casting it within a stochastic user equilibrium framework. The strength of the proposed model is to incorporate two sources of stochasticity stemming, respectively, from the users’ imperfect knowledge regarding arc costs (represented by a discrete choice model) and the probability of not accessing saturated arcs. Moreover, the arc-based formulation extends the Markovian traffic equilibrium model of Baillon and Cominetti [Baillon JB, Cominetti R ( 2008 ) Markovian traffic equilibrium. Math. Programming 111(1-2):33–56.] through the explicit consideration of capacities. This paper is restricted to the case of acyclic networks, for which we present solution algorithms and numerical experiments.

Suggested Citation

  • Maëlle Zimmermann & Emma Frejinger & Patrice Marcotte, 2021. "A Strategic Markovian Traffic Equilibrium Model for Capacitated Networks," Transportation Science, INFORMS, vol. 55(3), pages 574-591, May.
    • Handle: RePEc:inm:ortrsc:v:55:y:2021:i:3:p:574-591
    DOI: 10.1287/trsc.2020.1033
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    References listed on IDEAS

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