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Train timetable design under elastic passenger demand

Author

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  • Robenek, Tomáš
  • Azadeh, Shadi Sharif
  • Maknoon, Yousef
  • de Lapparent, Matthieu
  • Bierlaire, Michel

Abstract

A passenger centric timetable is such a timetable that the satisfaction of the passengers is maximized. However, these timetables only maximize the probability of a passenger to take the train, but provide no insight on the actual choices of the passengers. Therefore, in this manuscript we replace the deterministic passenger satisfaction function with a probabilistic demand forecasting model inside of the passenger centric train timetable design. The actual forecasts lead to a realistic train occupation. Knowing the train occupation, we can estimate the revenue and to use pricing as a mobility management to further improve the level-of-service. We use a logit model that we calibrate to reflect the known demand elasticities. We further include a competing operator as an opt-out option for the passengers. Subsequently, we integrate the passenger centric train timetabling problem with a ticket pricing problem. We solve the elastic passenger centric train timetabling problem for various types of timetables using a simulated annealing heuristic on a case study of Israeli Railways. The results of our case study show that the generated revenues can be increased by up to 15% when taking into account the passengers’ behavior along with a specific pricing scheme. This study further confirms the advantages of hybrid cyclicity.

Suggested Citation

  • Robenek, Tomáš & Azadeh, Shadi Sharif & Maknoon, Yousef & de Lapparent, Matthieu & Bierlaire, Michel, 2018. "Train timetable design under elastic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 19-38.
  • Handle: RePEc:eee:transb:v:111:y:2018:i:c:p:19-38
    DOI: 10.1016/j.trb.2018.03.002
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    1. Alexander Armstrong & Joern Meissner, 2010. "Railway Revenue Management: Overview and Models (Operations Research)," Working Papers MRG/0019, Department of Management Science, Lancaster University, revised Jul 2010.
    2. van Vuuren, Daniel, 2002. "Optimal pricing in railway passenger transport: theory and practice in The Netherlands," Transport Policy, Elsevier, vol. 9(2), pages 95-106, April.
    3. Hetrakul, Pratt & Cirillo, Cinzia, 2014. "A latent class choice based model system for railway optimal pricing and seat allocation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 68-83.
    4. Wardman, Mark & Lythgoe, William & Whelan, Gerard, 2007. "Rail Passenger Demand Forecasting: Cross-Sectional Models Revisited," Research in Transportation Economics, Elsevier, vol. 20(1), pages 119-152, January.
    5. Nuzzolo, Agostino & Crisalli, Umberto & Gangemi, Francesca, 2000. "A behavioural choice model for the evaluation of railway supply and pricing policies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(5), pages 395-404, June.
    6. Mor Kaspi & Tal Raviv, 2013. "Service-Oriented Line Planning and Timetabling for Passenger Trains," Transportation Science, INFORMS, vol. 47(3), pages 295-311, August.
    7. Zhou, Wenliang & Tian, Junli & Xue, Lijuan & Jiang, Min & Deng, Lianbo & Qin, Jin, 2017. "Multi-periodic train timetabling using a period-type-based Lagrangian relaxation decomposition," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 144-173.
    8. Wardman, Mark, 2004. "Public transport values of time," Transport Policy, Elsevier, vol. 11(4), pages 363-377, October.
    9. Yin, Jiateng & Tang, Tao & Yang, Lixing & Gao, Ziyou & Ran, Bin, 2016. "Energy-efficient metro train rescheduling with uncertain time-variant passenger demands: An approximate dynamic programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 178-210.
    10. Wardman, Mark, 1997. "Inter-urban rail demand, elasticities and competition in Great Britain: Evidence from direct demand models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 33(1), pages 15-28, March.
    11. Alberto Caprara & Matteo Fischetti & Paolo Toth, 2002. "Modeling and Solving the Train Timetabling Problem," Operations Research, INFORMS, vol. 50(5), pages 851-861, October.
    12. Barrena, Eva & Canca, David & Coelho, Leandro C. & Laporte, Gilbert, 2014. "Single-line rail rapid transit timetabling under dynamic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 134-150.
    13. David Canca & Alicia De-Los-Santos & Gilbert Laporte & Juan A. Mesa, 2016. "A general rapid network design, line planning and fleet investment integrated model," Annals of Operations Research, Springer, vol. 246(1), pages 127-144, November.
    14. Robenek, Tomáš & Maknoon, Yousef & Azadeh, Shadi Sharif & Chen, Jianghang & Bierlaire, Michel, 2016. "Passenger centric train timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 107-126.
    15. Canca, David & Barrena, Eva & De-Los-Santos, Alicia & Andrade-Pineda, José Luis, 2016. "Setting lines frequency and capacity in dense railway rapid transit networks with simultaneous passenger assignment," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 251-267.
    16. Cordone, Roberto & Redaelli, Francesco, 2011. "Optimizing the demand captured by a railway system with a regular timetable," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 430-446, February.
    17. Wardman, Mark, 2006. "Demand for rail travel and the effects of external factors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(3), pages 129-148, May.
    18. Ralf Borndörfer & Heide Hoppmann & Marika Karbstein, 2017. "Passenger routing for periodic timetable optimization," Public Transport, Springer, vol. 9(1), pages 115-135, July.
    19. Espinosa-Aranda, José Luis & García-Ródenas, Ricardo & Ramírez-Flores, María del Carmen & López-García, María Luz & Angulo, Eusebio, 2015. "High-speed railway scheduling based on user preferences," European Journal of Operational Research, Elsevier, vol. 246(3), pages 772-786.
    20. Sparing, Daniel & Goverde, Rob M.P., 2017. "A cycle time optimization model for generating stable periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 198-223.
    21. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    22. Bharill, Rohit & Rangaraj, Narayan, 2008. "Revenue management in railway operations: A study of the Rajdhani Express, Indian Railways," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(9), pages 1195-1207, November.
    23. Yin, Jiateng & Yang, Lixing & Tang, Tao & Gao, Ziyou & Ran, Bin, 2017. "Dynamic passenger demand oriented metro train scheduling with energy-efficiency and waiting time minimization: Mixed-integer linear programming approaches," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 182-213.
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