Descent methods of calculating locally optimal signal controls and prices in multi-modal and dynamic transportation networks

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Publication details

Title of host publicationTRANSPORTATION NETWORKS: RECENT METHODOLOGICAL ADVANCES
DatePublished - 1998
Pages934
Number of pages26
PublisherELSEVIER SCIENCE BV
Place of PublicationAMSTERDAM
EditorsMGH Bell
Original languageEnglish
ISBN (Print)0-08-043052-X

Abstract

A bilevel descent method of optimising signals and prices for a multi-modal network while taking account of travellers' choices (equilibrium) is specified within a framework which may, when developed, be efficient or large networks. Similar trilevel methods for the corresponding dynamic problem are also presented. Fairly complete proofs of convergence of the method to a local optimum are given for the steady state case but there remains a gap when we seek to prove convergence in a dynamic context; however if the method converges (in a dynamic context) to the set of equilibria then (under natural conditions) it must also converge to the set of local optima.

    Research areas

  • HEURISTIC ALGORITHMS, SENSITIVITY ANALYSIS

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