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Robust timetable optimization for bus lines subject to resource and regulatory constraints

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  • Gkiotsalitis, K.
  • Alesiani, F.

Abstract

Timetables are typically generated based on passenger demand and travel time expectations. This work incorporates the travel time and passenger demand uncertainty to generate robust timetables that minimize the possible loss at worst-case scenarios. We solve the resulting minimax problem with a genetic algorithm that uses sequential quadratic programming to evaluate the worst-case performance of each population member. Our approach is tested on a bus line in Singapore demonstrating an improvement potential of ≃5% on service regularity and excessive trip travel times.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transe:v:128:y:2019:i:c:p:30-51
    DOI: 10.1016/j.tre.2019.05.016
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    1. Zhao, Fang & Zeng, Xiaogang, 2008. "Optimization of transit route network, vehicle headways and timetables for large-scale transit networks," European Journal of Operational Research, Elsevier, vol. 186(2), pages 841-855, April.
    2. Jansson, Kjell & Pyddoke, Roger, 2010. "Quality incentives and quality outcomes in procured public transport - Case study Stockholm," Research in Transportation Economics, Elsevier, vol. 29(1), pages 11-18.
    3. Kang, Liujiang & Zhu, Xiaoning & Sun, Huijun & Wu, Jianjun & Gao, Ziyou & Hu, Bin, 2019. "Last train timetabling optimization and bus bridging service management in urban railway transit networks," Omega, Elsevier, vol. 84(C), pages 31-44.
    4. 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.
    5. Ceder, A. & Golany, B. & Tal, O., 2001. "Creating bus timetables with maximal synchronization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(10), pages 913-928, December.
    6. Xuan, Yiguang & Argote, Juan & Daganzo, Carlos F., 2011. "Dynamic bus holding strategies for schedule reliability: Optimal linear control and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1831-1845.
    7. Ibarra-Rojas, Omar J. & Rios-Solis, Yasmin A., 2012. "Synchronization of bus timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 599-614.
    8. Stephen M. Robinson, 1996. "Analysis of Sample-Path Optimization," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 513-528, August.
    9. Sels, P. & Dewilde, T. & Cattrysse, D. & Vansteenwegen, P., 2016. "Reducing the passenger travel time in practice by the automated construction of a robust railway timetable," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 124-156.
    10. Giorgio Gallo & Federico Di Miele, 2001. "Dispatching Buses in Parking Depots," Transportation Science, INFORMS, vol. 35(3), pages 322-330, August.
    11. Daganzo, Carlos F., 2009. "A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 913-921, December.
    12. Wu, Weitiao & Liu, Ronghui & Jin, Wenzhou, 2017. "Modelling bus bunching and holding control with vehicle overtaking and distributed passenger boarding behaviour," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 175-197.
    13. Leong, Waiyan & Goh, Karen & Hess, Stephane & Murphy, Paul, 2016. "Improving bus service reliability: The Singapore experience," Research in Transportation Economics, Elsevier, vol. 59(C), pages 40-49.
    14. Jiamin Zhao & Maged Dessouky & Satish Bukkapatnam, 2006. "Optimal Slack Time for Schedule-Based Transit Operations," Transportation Science, INFORMS, vol. 40(4), pages 529-539, November.
    15. Niu, Huimin & Zhou, Xuesong & Gao, Ruhu, 2015. "Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 117-135.
    16. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    17. Yan, Shangyao & Chi, Chin-Jen & Tang, Ching-Hui, 2006. "Inter-city bus routing and timetable setting under stochastic demands," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(7), pages 572-586, August.
    18. Hernández, Daniel & Muñoz, Juan Carlos & Giesen, Ricardo & Delgado, Felipe, 2015. "Analysis of real-time control strategies in a corridor with multiple bus services," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 83-105.
    19. Konstantinos Gkiotsalitis & Nitin Maslekar, 2018. "Towards transfer synchronization of regularity-based bus operations with sequential hill-climbing," Public Transport, Springer, vol. 10(2), pages 335-361, August.
    20. G. F. Newell, 1974. "Control of Pairing of Vehicles on a Public Transportation Route, Two Vehicles, One Control Point," Transportation Science, INFORMS, vol. 8(3), pages 248-264, August.
    21. Shafahi, Yousef & Khani, Alireza, 2010. "A practical model for transfer optimization in a transit network: Model formulations and solutions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(6), pages 377-389, July.
    22. Mark D. Hickman, 2001. "An Analytic Stochastic Model for the Transit Vehicle Holding Problem," Transportation Science, INFORMS, vol. 35(3), pages 215-237, August.
    23. Adamski, Andrzej & Turnau, Andrzej, 1998. "Simulation support tool for real-time dispatching control in public transport," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(2), pages 73-87, February.
    24. 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.
    25. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.
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    3. Gkiotsalitis, K. & Cats, O. & Liu, T. & Bult, J.M., 2023. "An exact optimization method for coordinating the arrival times of urban rail lines at a common corridor," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 178(C).
    4. Ji, Ying & Du, Jianhui & Han, Xiaoya & Wu, Xiaoqing & Huang, Ripeng & Wang, Shilei & Liu, Zhimin, 2020. "A mixed integer robust programming model for two-echelon inventory routing problem of perishable products," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
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    6. Kayhan Alamatsaz & Frédéric Quesnel & Ursula Eicker, 2024. "Enhancing Electric Shuttle Bus Efficiency: A Case Study on Timetabling and Scheduling Optimization," Energies, MDPI, vol. 17(13), pages 1-26, June.
    7. Meloni, Carlo & Pranzo, Marco & Samà, Marcella, 2021. "Risk of delay evaluation in real-time train scheduling with uncertain dwell times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    8. Avenali, Alessandro & De Santis, Daniele & Giagnorio, Mirko & Matteucci, Giorgio, 2024. "Bus fleet decarbonization under macroeconomic and technological uncertainties: A real options approach to support decision-making," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 190(C).
    9. Kayhan Alamatsaz & Sadam Hussain & Chunyan Lai & Ursula Eicker, 2022. "Electric Bus Scheduling and Timetabling, Fast Charging Infrastructure Planning, and Their Impact on the Grid: A Review," Energies, MDPI, vol. 15(21), pages 1-39, October.
    10. Yiming Bie & Mingjie Hao & Mengzhu Guo, 2021. "Optimal Electric Bus Scheduling Based on the Combination of All-Stop and Short-Turning Strategies," Sustainability, MDPI, vol. 13(4), pages 1-21, February.
    11. Gkiotsalitis, K. & Schmidt, M.E. & van der Hurk, E., 2021. "Subline frequency setting for autonomous minibusses under demand uncertainty," ERIM Report Series Research in Management ERS-2021-008-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    12. Cui, Shaohua & Gao, Kun & Yu, Bin & Ma, Zhenliang & Najafi, Arsalan, 2023. "Joint optimal vehicle and recharging scheduling for mixed bus fleets under limited chargers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 180(C).

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