Schedule-based transit assignment model with vehicle capacity and seat availability

Younes Hamdouch, H. W. Ho, Agachai Sumalee, Guodong Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

80 Citations (Scopus)


In this paper, we propose a new schedule-based equilibrium transit assignment model that differentiates the discomfort level experienced by sitting and standing passengers. The notion of seat allocation has not been considered explicitly and analytically in previous schedule-based frameworks. The model assumes that passengers use strategies when traveling from their origin to their destination. When loading a vehicle, standing on-board passengers continuing to the next station have priority to get available seats and waiting passengers are loaded on a First-Come-First-Serve (FCFS) principle. The stimulus of a standing passenger to sit increases with his/her remaining journey length and time already spent on-board. When a vehicle is full, passengers unable to board must wait for the next vehicle to arrive. The equilibrium conditions can be stated as a variational inequality involving a vector-valued function of expected strategy costs. To find a solution, we adopt the method of successive averages (MSA) that generates strategies during each iteration by solving a dynamic program. Numerical results are also reported to show the effects of our model on the travel strategies and departure time choices of passengers.
Original languageEnglish
Pages (from-to)1805-1830
Number of pages26
JournalTransportation Research Part B: Methodological
Issue number10
Publication statusPublished - 1 Jan 2011


  • Capacity
  • Schedule-based
  • Transit assignment
  • Transit seat allocation
  • Travel strategy
  • User equilibrium

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation

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