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.
Mots clés : traffic assignment problems, Markov chains, network flows
@article{RO_2002__36_3_209_0,
author = {Mastroeni, Giandomenico},
title = {A {Markov} chain model for traffic equilibrium problems},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {209--226},
publisher = {EDP-Sciences},
volume = {36},
number = {3},
year = {2002},
doi = {10.1051/ro:2003003},
zbl = {1062.90014},
mrnumber = {1988277},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro:2003003/}
}
TY - JOUR AU - Mastroeni, Giandomenico TI - A Markov chain model for traffic equilibrium problems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2002 DA - 2002/// SP - 209 EP - 226 VL - 36 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2003003/ UR - https://zbmath.org/?q=an%3A1062.90014 UR - https://www.ams.org/mathscinet-getitem?mr=1988277 UR - https://doi.org/10.1051/ro:2003003 DO - 10.1051/ro:2003003 LA - en ID - RO_2002__36_3_209_0 ER -
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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