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1 results

A Markov chain modelfor traffic equilibrium problems
Giandomenico Mastroeni
Journal:

RAIRO - Operations Research / Volume 36 / Issue 3 / July 2002

Published online by Cambridge University Press:

15 April 2003, pp. 209-226

Print publication:

July 2002
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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 beeffective 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 thealready travelled part.The developed model is a homogeneous Markov chain, whosestationarydistributions (if any) characterize the equilibrium.