A Markov chain model for traffic equilibrium problems
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 209-226.

We consider a stochastic approach in order to define an equilibrium model for a traffic-network problem. In particular, we assume a markovian behaviour of the users in their movements throughout the zones of the traffic area. This assumption turns out to be effective at least in the context of urban traffic, where, in general, the users tend to travel by choosing the path they find more convenient and not necessarily depending on the already travelled part. The developed model is a homogeneous Markov chain, whose stationary distributions (if any) characterize the equilibrium.

DOI : https://doi.org/10.1051/ro:2003003
Mots clés : traffic assignment problems, Markov chains, network flows
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author = {Mastroeni, Giandomenico},
title = {A {Markov} chain model for traffic equilibrium problems},
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Mastroeni, Giandomenico. A Markov chain model for traffic equilibrium problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 209-226. doi : 10.1051/ro:2003003. http://www.numdam.org/articles/10.1051/ro:2003003/

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