Asymmetric stochastic user equilibrium problem with elastic demand and link capacity constraints

Qiang Meng, Zhiyuan Liu, Shuaian Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

24 Citations (Scopus)

Abstract

This paper focuses on model development and algorithm design for the general stochastic user equilibrium (SUE) problem with elastic demand, asymmetric link travel time functions and link capacity constraints. It first defines the generalised SUE conditions using generalised link travel time. An equivalent variational inequality (VI) model for these generalised SUE conditions is then developed and it is rigorously proven to be monotone and uniform Lipschitz-continuous. These two properties of the proposed VI model ensure the global convergence of the self-adaptive prediction-correction algorithm incorporating cost averaging method as a solution algorithm. Finally, a numerical example is utilised to assess the performance of the proposed VI model and solution algorithm.
Original languageEnglish
Pages (from-to)304-326
Number of pages23
JournalTransportmetrica A: Transport Science
Volume10
Issue number4
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Keywords

  • asymmetric link travel time functions
  • elastic demand
  • link capacity constraints
  • stochastic user equilibrium
  • variational inequality

ASJC Scopus subject areas

  • Transportation
  • Engineering(all)

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