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The emergence of stochastic user equilibria in day-to-day traffic models

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  • Hazelton, Martin L.

Abstract

Stochastic user equilibrium (SUE) is a commonly used deterministic model of traffic assignment. It is well known that SUE provides an approximation to the stationary mean of a wide class of Markov day-to-day traffic assignment models. However, as is shown in this article, it is generally impossible to find any time homogeneous random process models for discrete traffic in which SUE precisely matches the stationary mean. In response, we develop a time-inhomogeneous model with this property. That model relies on a rather unnatural description of route choice utility. We therefore propose a second time-inhomogeneous model with a more standard type of utility function, where the stationary mean equals a generalized version of SUE.

Suggested Citation

  • Hazelton, Martin L., 2022. "The emergence of stochastic user equilibria in day-to-day traffic models," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 102-112.
    • Handle: RePEc:eee:transb:v:158:y:2022:i:c:p:102-112
    DOI: 10.1016/j.trb.2022.02.010
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    References listed on IDEAS

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