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Multi-objective integration of timetables, vehicle schedules and user routings in a transit network

Author

Listed:
  • Laporte, Gilbert
  • Ortega, Francisco A.
  • Pozo, Miguel A.
  • Puerto, Justo

Abstract

The Transit Network Timetabling and Scheduling Problem (TNTSP) aims at determining an optimal timetable for each line of a transit network by establishing departure and arrival times at each station and allocating a vehicle to each timetable. The current models for the planning of timetables and vehicle schedules use the a priori knowledge of users’ routings. However, the actual route choice of a user depends on the timetable. This paper solves the TNTSP in a public transit network by integrating users’ routings in the model. The proposed formulation guarantees that each user is allocated to the best possible timetable, while satisfying capacity constraints. In addition, we perform a trade-off analysis by means of a multi-objective formulation which jointly optimizes the operator’s and the users’ criteria.

Suggested Citation

  • Laporte, Gilbert & Ortega, Francisco A. & Pozo, Miguel A. & Puerto, Justo, 2017. "Multi-objective integration of timetables, vehicle schedules and user routings in a transit network," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 94-112.
  • Handle: RePEc:eee:transb:v:98:y:2017:i:c:p:94-112
    DOI: 10.1016/j.trb.2016.12.018
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    References listed on IDEAS

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    1. de Palma, André & Lindsey, Robin, 2001. "Optimal timetables for public transportation," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 789-813, September.
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    3. Gilbert Laporte & Juan Mesa & Francisco Ortega, 1997. "Assessing the efficiency of rapid transit configurations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(1), pages 95-104, June.
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    5. Juan Mesa & Francisco Ortega & Miguel Pozo, 2014. "Locating optimal timetables and vehicle schedules in a transit line," Annals of Operations Research, Springer, vol. 222(1), pages 439-455, November.
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    7. Hanne L. Petersen & Allan Larsen & Oli B. G. Madsen & Bjørn Petersen & Stefan Ropke, 2013. "The Simultaneous Vehicle Scheduling and Passenger Service Problem," Transportation Science, INFORMS, vol. 47(4), pages 603-616, November.
    8. Espejo, Inmaculada & Marín, Alfredo & Rodríguez-Chía, Antonio M., 2012. "Closest assignment constraints in discrete location problems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 49-58.
    9. Ibarra-Rojas, Omar J. & Giesen, Ricardo & Rios-Solis, Yasmin A., 2014. "An integrated approach for timetabling and vehicle scheduling problems to analyze the trade-off between level of service and operating costs of transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 35-46.
    10. Guihaire, Valérie & Hao, Jin-Kao, 2008. "Transit network design and scheduling: A global review," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(10), pages 1251-1273, December.
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