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Cost functions and multi-objective timetabling of mixed train services

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  • Chow, Andy H.F.
  • Pavlides, Aris

Abstract

This paper investigates a set of cost functions for assessing and timetabling mainline train services. The present study incorporates considerations from both operators’ and passengers’ perspectives including service running times, punctuality, waiting times, and comfort of the journeys. The cost functions are applied to a multi-objective optimisation formulation subject to constraints representing operational requirements and signalling systems. The optimisation model is applied to the Brighton Main Line network in Southeast England as a case study, and the results demonstrate how the proposed optimisation framework can help government and train operators to derive more effective and equitable timetable with consideration of customer satisfaction. A Pareto analysis is further derived to illustrate the trade-off between conflicting objectives in the optimisation process under different circumstances.

Suggested Citation

  • Chow, Andy H.F. & Pavlides, Aris, 2018. "Cost functions and multi-objective timetabling of mixed train services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 113(C), pages 335-356.
    • Handle: RePEc:eee:transa:v:113:y:2018:i:c:p:335-356
    DOI: 10.1016/j.tra.2018.04.027
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    as
    1. Tirachini, Alejandro & Hensher, David A. & Jara-Díaz, Sergio R., 2010. "Comparing operator and users costs of light rail, heavy rail and bus rapid transit over a radial public transport network," Research in Transportation Economics, Elsevier, vol. 29(1), pages 231-242.
    2. Vansteenwegen, P. & Van Oudheusden, D., 2007. "Decreasing the passenger waiting time for an intercity rail network," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 478-492, May.
    3. Reilly, Jack & Martin, Sébastien & Payer, Mathias & Bayen, Alexandre M., 2016. "Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 366-382.
    4. Carey, Malachy, 1994. "Reliability of interconnected scheduled services," European Journal of Operational Research, Elsevier, vol. 79(1), pages 51-72, November.
    5. A. Higgins & E. Kozan, 1998. "Modeling Train Delays in Urban Networks," Transportation Science, INFORMS, vol. 32(4), pages 346-357, November.
    6. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    7. Wardman, Mark, 2004. "Public transport values of time," Transport Policy, Elsevier, vol. 11(4), pages 363-377, October.
    8. Carey, Malachy & Kwiecinski, Andrzej, 1994. "Stochastic approximation to the effects of headways on knock-on delays of trains," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 251-267, August.
    9. Carey, Malachy & Carville, Sinead, 2003. "Scheduling and platforming trains at busy complex stations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 195-224, March.
    10. Cacchiani, Valentina & Caprara, Alberto & Toth, Paolo, 2010. "Scheduling extra freight trains on railway networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 215-231, February.
    11. Dorfman, M. J. & Medanic, J., 2004. "Scheduling trains on a railway network using a discrete event model of railway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 81-98, January.
    12. Zhou, Xuesong & Zhong, Ming, 2005. "Bicriteria train scheduling for high-speed passenger railroad planning applications," European Journal of Operational Research, Elsevier, vol. 167(3), pages 752-771, December.
    13. Corman, Francesco & D’Ariano, Andrea & Marra, Alessio D. & Pacciarelli, Dario & Samà, Marcella, 2017. "Integrating train scheduling and delay management in real-time railway traffic control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 213-239.
    14. Jean-François Cordeau & Paolo Toth & Daniele Vigo, 1998. "A Survey of Optimization Models for Train Routing and Scheduling," Transportation Science, INFORMS, vol. 32(4), pages 380-404, November.
    15. Jens Parbo & Otto Anker Nielsen & Carlo Giacomo Prato, 2016. "Passenger Perspectives in Railway Timetabling: A Literature Review," Transport Reviews, Taylor & Francis Journals, vol. 36(4), pages 500-526, July.
    16. Carey, Malachy, 1999. "Ex ante heuristic measures of schedule reliability," Transportation Research Part B: Methodological, Elsevier, vol. 33(7), pages 473-494, September.
    17. Burdett, R.L. & Kozan, E., 2009. "Techniques for inserting additional trains into existing timetables," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 821-836, September.
    18. Chang, Yu-Hern & Yeh, Chung-Hsing & Shen, Ching-Cheng, 2000. "A multiobjective model for passenger train services planning: application to Taiwan's high-speed rail line," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 91-106, February.
    19. Alberto Caprara & Matteo Fischetti & Paolo Toth, 2002. "Modeling and Solving the Train Timetabling Problem," Operations Research, INFORMS, vol. 50(5), pages 851-861, October.
    20. D'Ariano, Andrea & Pacciarelli, Dario & Pranzo, Marco, 2007. "A branch and bound algorithm for scheduling trains in a railway network," European Journal of Operational Research, Elsevier, vol. 183(2), pages 643-657, December.
    21. Yin, Yafeng, 2008. "Robust optimal traffic signal timing," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 911-924, December.
    22. Lee, Yusin & Chen, Chuen-Yih, 2009. "A heuristic for the train pathing and timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 837-851, September.
    23. Chow, Andy H.F. & Lo, Hong K., 2007. "Sensitivity analysis of signal control with physical queuing: Delay derivatives and an application," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 462-477, May.
    24. Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
    25. 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.
    26. 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.
    27. Hallowell, Susan F. & Harker, Patrick T., 1998. "Predicting on-time performance in scheduled railroad operations: methodology and application to train scheduling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 279-295, May.
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