A Markov chain model for traffic equilibrium problems

A Markov chain model for traffic equilibrium problems

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Article ID: iaor20052694
Country: France
Volume: 36
Issue: 3
Start Page Number: 209
End Page Number: 226
Publication Date: Jul 2002
Journal: RAIRO Operations Research
Authors:
Keywords: markov processes
Abstract:

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.

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