A multi-class mean-excess traffic equilibrium model with elastic demand

Xiangdong Xu, Anthony Chen, Zhong Zhou, Lin Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

29 Citations (Scopus)


Recent empirical studies have revealed that travel time variability plays an important role in travelers' route choice decisions. To simultaneously account for both reliability and unreliability aspects of travel time variability, the concept of mean-excess travel time (METT) was recently proposed as a new risk-averse route choice criterion. In this paper, we extend the mean-excess traffic equilibrium model to include heterogeneous risk-aversion attitudes and elastic demand. Specifically, this model explicitly considers (1) multiple user classes with different risk-aversions toward travel time variability when making route choice decisions under uncertainty and (2) the elasticity of travel demand as a function of METT when making travel choice decisions under uncertainty. This model is thus capable of modeling travelers' heterogeneous risk-averse behaviors with both travel choice and route choice considerations. The proposed model is formulated as a variational inequality problem and solved via a route-based algorithm using the modified alternating direction method. Numerical analyses are also provided to illustrate the features of the proposed model and the applicability of the solution algorithm.
Original languageEnglish
Pages (from-to)203-222
Number of pages20
JournalJournal of Advanced Transportation
Issue number3
Publication statusPublished - 1 Jan 2014
Externally publishedYes


  • elastic demand
  • mean-excess travel time
  • multiple user classes
  • travel time budget
  • uncertainty
  • user equilibrium

ASJC Scopus subject areas

  • Strategy and Management
  • Economics and Econometrics
  • Mechanical Engineering
  • Computer Science Applications
  • Automotive Engineering


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