The Stability of a Dynamic Model of Traffic Assignment---An Application of a Method of Lyapunov

Michael J. Smith
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Michael J. Smith: Department of Mathematics, University of York, Heslington, York, England

Transportation Science, 1984, vol. 18, issue 3, 245-252

Abstract: This paper considers a dynamic model of traffic assignment in which drivers change their route choices to take advantage of cheaper routes. Using a method due to Lyapunov, we show that if the cost-flow function is monotone and there are no explicit capacity restrictions then any solution trajectory of our dynamical system converges to the set of Wardrop equilibria as time passes.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:18:y:1984:i:3:p:245-252

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