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A mathematical model of an urban bus route

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  • Andersson, Per-Åke
  • Scalia-Tomba, Gian-Paolo

Abstract

The present paper is a mathematical description of an urban bus route in peak hour traffic. "Bus route" is here used in a collective sense to denote a set of more or less parallel-going sub-routes, here called "service variants". The deterministic and stochastic mechanisms of bus operation are analysed--with focus on time evolution--and general models for route structure, boarding and alighting events, link travel times and stop times are formulated. Various measures of goodness of fit are defined, for validation and model choice. The models are primarily intended for use in an interactive simulation program (see Andersson et al., 1979).

Suggested Citation

  • Andersson, Per-Åke & Scalia-Tomba, Gian-Paolo, 1981. "A mathematical model of an urban bus route," Transportation Research Part B: Methodological, Elsevier, vol. 15(4), pages 249-266, August.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:4:p:249-266
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    Citations

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    Cited by:

    1. E. Codina & A. Marín & F. López, 2013. "A model for setting services on auxiliary bus lines under congestion," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 48-83, April.
    2. Hall, Randolph & Dessouky, Maged & Zhang, Lei & Singh, Ajay & Patel, Vishal, 1999. "Evaluation of ITS Technology for Bus Transit Systems," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2nq1824t, Institute of Transportation Studies, UC Berkeley.
    3. Jesper Bláfoss Ingvardson & Jonas Kornerup Jensen & Otto Anker Nielsen, 2017. "Analysing improvements to on-street public transport systems: a mesoscopic model approach," Public Transport, Springer, vol. 9(1), pages 385-409, July.
    4. Gkiotsalitis, K. & Alesiani, F., 2019. "Robust timetable optimization for bus lines subject to resource and regulatory constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 30-51.
    5. Islam, Md. Kamrul & Vandenbona, Upali & Dixit, Vinayak V. & Sharma, Ashish, 2015. "A Simplified Method for Performance Evaluation of Public Transit Under Reneging Behavior of Passengers," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 54(3).
    6. Dessouky, Maged & Hall, Randolph & Zhang, Lei & Singh, Ajay, 2003. "Real-time control of buses for schedule coordination at a terminal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 145-164, February.
    7. Dessouky, Maged & Singh, Ajay & Hall, Randolph, 1997. "Transit ITS Simulator (TRANSITS): Design Document," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt49k184rv, Institute of Transportation Studies, UC Berkeley.
    8. Mark D. Hickman, 2001. "An Analytic Stochastic Model for the Transit Vehicle Holding Problem," Transportation Science, INFORMS, vol. 35(3), pages 215-237, August.
    9. Hall, Randolph & Dessouky, Maged & Nowroozi, Ali & Singh, A., 1997. "Evaluation Of ITS Technology For Bus Timed Transfers," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1wq2v1p4, Institute of Transportation Studies, UC Berkeley.
    10. Zhang, Shuyang & Lo, Hong K., 2018. "Two-way-looking self-equalizing headway control for bus operations," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 280-301.

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