期刊
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
卷 85, 期 -, 页码 132-141出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2015.12.015
关键词
Dynamical systems; Path-swapping; Stability; Lyapunov function; Stochastic user equilibrium
An analysis of the continuous-time dynamics of a route-swap adjustment process is presented, which is a natural adaptation of that presented in Smith (1984) for deterministic choice problems, for a case in which drivers are assumed to make perceptual errors in their evaluations of travel cost according to a Random Utility Model. We show that stationary points of this system are stochastic user equilibria. A Lyapnuov function is developed for this system under the assumption of monotone, continuously differentiable and bounded cost-flow functions and a logit-based decision rule, establishing convergence and stability of trajectories of such a dynamical system with respect to a stochastic user equilibrium solution. (C) 2016 Elsevier Ltd. All rights reserved.
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