Robust Wardrop's user equilibrium assignment under stochastic demand and supply: Expected residual minimization approach

Chao Zhang, Xiaojun Chen, Agachai Sumalee

Research output: Journal article publicationJournal articleAcademic researchpeer-review

57 Citations (Scopus)


Various models of traffic assignment under stochastic environment have been proposed recently, mainly by assuming different travelers' behavior against uncertainties. This paper focuses on the expected residual minimization (ERM) model to provide a robust traffic assignment with an emphasis on the planner's perspective. The model is further extended to obtain a stochastic prediction of the traffic volumes by the technique of path choice approach. We show theoretically the existence and the robustness of the ERM solution. In addition, we employ an improved solution algorithm for solving the ERM model. Numerical experiments are carried out to illustrate the characteristics of the proposed model, by comparing with other existing models.
Original languageEnglish
Pages (from-to)534-552
Number of pages19
JournalTransportation Research Part B: Methodological
Issue number3
Publication statusPublished - 1 Jan 2011


  • Demand and supply uncertainty
  • Expected residual minimization
  • Nonadditive cost
  • Robust traffic assignment
  • Wardrop's user equilibrium

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation

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