Willingness to board: A novel concept for modeling queuing up passengers

Zhiyuan Liu, Shuaian Wang, Weijie Chen, Yuan Zheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

48 Citations (Scopus)


This paper addresses an innovative concept, termed as queuing passengers' willingness to board (WTB) the transit vehicles. In the peak hours, some queuing passengers cannot board a crowded bus/train, but when the same vehicle arrives at the next stop, some other passengers could still get on. This phenomenon reflects that passengers at different queuing locations have heterogeneous level of ambitions to board. A methodological framework is proposed for the quantitative investigation of WTB. First, a general model is proposed, together with a new least square method (LSM) for the calibration. Then, a parametric model is developed, which is also calibrated by the LSM. To refine the calibration method and deal with the biasness of survey data, a weighted least square method is further developed. Based on real survey data, the calibration results clearly support the existence of WTB, which can be used to estimate the capacity of transit vehicles. This paper also sheds some lights on the practical applications of the quantitative WTB.
Original languageEnglish
Pages (from-to)70-82
Number of pages13
JournalTransportation Research Part B: Methodological
Publication statusPublished - 1 Aug 2016


  • Mixed-integer programming
  • Parametric model
  • Transit passengers
  • Weighted least square method
  • Willingness to board

ASJC Scopus subject areas

  • Transportation
  • Management Science and Operations Research


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