Research output: Contribution to journal › Article › peer-review
Journal | Transportation Research Part B: Methodological |
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Date | Accepted/In press - 23 Dec 2015 |
Date | Published (current) - 1 Mar 2016 |
Volume | 85 |
Number of pages | 10 |
Pages (from-to) | 132-141 |
Original language | English |
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.
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