PH Fitting of Passenger Flow Arrival Interval Distribution on Urban Railway Transit Stations

The urban railway transit station is essentially a kind of stochastic service system and the passenger flow arrival interval distribution with accurate description of strong randomness is the important basis of elaborate system planning, design and flexible operation management. The existing fitting distribution researches were unable to satisfy the demand for the station stochastic service system’s modeling analysis as well as microcosmic simulation’s demand for accuracy, universality and analyticity. Though phase-type distribution (PH) had been theoretically verified of good analyticity and universality, it requires to determining over much parameters in practical application. Therefore, it still needs further exploration whether the PH can be applied to represent the passenger flow arrival interval distribution on urban railway transit stations. In this paper, seven common distributions and hyper-Erlang distribution (HErD) which is a dense subset of PH were applied to fit the passenger flow arrival interval distribution of entrance and platform on subway stations. The comparison result indicated that HErD fitting achieves the highest accuracy. On this basis, the fitting parameters of HErD were analyzed, finding that this distribution requires to determining two parameters, and only related with variation coefficient, possessing good practicability. Finally, this paper put forward a practical method to determine the parameters of HErD through the easy-captured peak passenger flow volume and super-peak coefficient. This research provides a new selectable PH fitting distribution for passenger flow arrival interval distribution on urban railway transit stations.

  • Supplemental Notes:
    • This paper was sponsored by TRB committee AP045 Intermodal Transfer Facilities.
  • Corporate Authors:

    Transportation Research Board

    500 Fifth Street, NW
    Washington, DC  United States  20001
  • Authors:
    • Jiang, Yangsheng
    • Hu, Lu
    • Zhu, Juanxiu
    • Chen, Yanru
  • Conference:
  • Date: 2013

Language

  • English

Media Info

  • Media Type: Digital/other
  • Features: Figures; References; Tables;
  • Pagination: 18p
  • Monograph Title: TRB 92nd Annual Meeting Compendium of Papers

Subject/Index Terms

Filing Info

  • Accession Number: 01473379
  • Record Type: Publication
  • Report/Paper Numbers: 13-2491
  • Files: TRIS, TRB, ATRI
  • Created Date: Feb 21 2013 9:10AM