A capacity restraint transit assignment with elastic line frequency

Hing Keung William Lam, Jing Zhou, Zhao Han Sheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

90 Citations (Scopus)


This paper proposes a new formulation for the capacity restraint transit assignment problem with elastic line frequency, in which the line frequency is related to the passenger flows on transit lines. A stochastic user equilibrium transit assignment model with congestion and elastic line frequency is proposed and the equivalent mathematical programming problem is also formulated. Since the passenger waiting time and the line capacity are dependent on the line frequency, a fixed point problem with respect to the line frequency is devised accordingly. The existence of the fixed point problem has been proved. A solution algorithm for the proposed model is presented. Finally, a numerical example is used to illustrate the application of the proposed model and solution algorithm.
Original languageEnglish
Pages (from-to)919-938
Number of pages20
JournalTransportation Research Part B: Methodological
Issue number10
Publication statusPublished - 1 Jan 2002


  • Congested transit network
  • Elastic line frequency
  • Fixed point problem
  • Stochastic user equilibrium

ASJC Scopus subject areas

  • Transportation
  • Management Science and Operations Research


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