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Safety-oriented multi-depot integrated vehicle and crew scheduling problem

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  • Wu, Weitiao
  • Zhu, Yangyi

Abstract

Safety in public transportation operations remains a critical concern. The state-of-the-practice countermeasures primarily focus on real-time warning strategies, but there is still room for improving bus operation safety through reallocating fleet resources. This study introduces the Safety-oriented Multi-depot Integrated Vehicle and Crew Scheduling Problem (S-MD-IVCSP), a new generalization to the IVCSP where the safety risks of trip tasks are explicitly considered. To this end, we use the survival analysis model to assess safety risks during drivers’ work processes using warning data. Particularly, a safety risk transition model is developed based on the changing patterns of safety risk in single-line bus operations, which can be applied to driver crossline scenarios under regional scheduling. A time-space network model is devised to represent the S-MD-IVCSP. The drivers’ risk probability is incorporated into the objective. An enhanced adaptive large neighborhood search algorithm, featuring multiple operators, is developed to reduce the fleet size, optimize crew working hours, and mitigate drivers’ duty risks. The model is applied to 3 real-world bus lines in Guangzhou, China. Results show that our approach can reduce safety risks by at least 30% compared to the traditional cost-oriented approach, without significantly increasing operational costs. There is strong compatibility between regional scheduling strategies and proactive safety measures. By leveraging the warning data, regional scheduling can reduce the crew’s safety risks effectively, improving safety performance by over 19% compared to single-line scheduling mode. We also investigate the impact of crew compositions and limited driver resources on overall safety performance.

Suggested Citation

  • Wu, Weitiao & Zhu, Yangyi, 2025. "Safety-oriented multi-depot integrated vehicle and crew scheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 203(C).
  • Handle: RePEc:eee:transe:v:203:y:2025:i:c:s1366554525003898
    DOI: 10.1016/j.tre.2025.104348
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    References listed on IDEAS

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    1. Matteo Fischetti & Silvano Martello & Paolo Toth, 1989. "The Fixed Job Schedule Problem with Working-Time Constraints," Operations Research, INFORMS, vol. 37(3), pages 395-403, June.
    2. Markó Horváth & Tamás Kis, 2019. "Computing strong lower and upper bounds for the integrated multiple-depot vehicle and crew scheduling problem with branch-and-price," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 39-67, March.
    3. Perumal, Shyam S.G. & Larsen, Jesper & Lusby, Richard M. & Riis, Morten & Sørensen, Kasper S., 2019. "A matheuristic for the driver scheduling problem with staff cars," European Journal of Operational Research, Elsevier, vol. 275(1), pages 280-294.
    4. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    5. Richard Freling & Albert P. M. Wagelmans & José M. Pinto Paixão, 2001. "Models and Algorithms for Single-Depot Vehicle Scheduling," Transportation Science, INFORMS, vol. 35(2), pages 165-180, May.
    6. Boyer, Vincent & Ibarra-Rojas, Omar J. & Ríos-Solís, Yasmín Á., 2018. "Vehicle and Crew Scheduling for Flexible Bus Transportation Systems," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 216-229.
    7. Jing-Quan Li, 2014. "Transit Bus Scheduling with Limited Energy," Transportation Science, INFORMS, vol. 48(4), pages 521-539, November.
    8. Alexander Kiefer & Richard F. Hartl & Alexander Schnell, 2017. "Adaptive large neighborhood search for the curriculum-based course timetabling problem," Annals of Operations Research, Springer, vol. 252(2), pages 255-282, May.
    9. M. Pour, Shahrzad & Drake, John H. & Ejlertsen, Lena Secher & Rasmussen, Kourosh Marjani & Burke, Edmund K., 2018. "A hybrid Constraint Programming/Mixed Integer Programming framework for the preventive signaling maintenance crew scheduling problem," European Journal of Operational Research, Elsevier, vol. 269(1), pages 341-352.
    10. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    11. Wen, Xin & Chung, Sai-Ho & Choi, Tsan-Ming & Fu, Xiaowen, 2024. "Airline cabin crew pairing with accurate characterization of cross-class substitution: A branch-and-price approach," Transportation Research Part B: Methodological, Elsevier, vol. 190(C).
    12. Andrade-Michel, Alejandro & Ríos-Solís, Yasmín A. & Boyer, Vincent, 2021. "Vehicle and reliable driver scheduling for public bus transportation systems," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 290-301.
    13. Schrotenboer, Albert H. & Wenneker, Rob & Ursavas, Evrim & Zhu, Stuart X., 2023. "Reliable reserve-crew scheduling for airlines," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 178(C).
    14. Cong, Yuan & Bie, Yiming & Liu, Ziyan & Zhu, Aoze, 2024. "Collaborative vehicle-crew scheduling for multiple routes with a mixed fleet of electric and fuel buses," Energy, Elsevier, vol. 298(C).
    15. Wu, Weitiao & Lin, Yue & Liu, Ronghui & Jin, Wenzhou, 2022. "The multi-depot electric vehicle scheduling problem with power grid characteristics," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 322-347.
    16. Shen, Yindong & Peng, Kunkun & Chen, Kai & Li, Jingpeng, 2013. "Evolutionary crew scheduling with adaptive chromosomes," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 174-185.
    17. Sistig, Hubert Maximilian & Sauer, Dirk Uwe, 2023. "Metaheuristic for the integrated electric vehicle and crew scheduling problem," Applied Energy, Elsevier, vol. 339(C).
    18. Knut Haase & Guy Desaulniers & Jacques Desrosiers, 2001. "Simultaneous Vehicle and Crew Scheduling in Urban Mass Transit Systems," Transportation Science, INFORMS, vol. 35(3), pages 286-303, August.
    19. Zhang, Le & Wang, Shuaian & Qu, Xiaobo, 2021. "Optimal electric bus fleet scheduling considering battery degradation and non-linear charging profile," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    20. Hassold, Stephan & Ceder, Avishai (Avi), 2014. "Public transport vehicle scheduling featuring multiple vehicle types," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 129-143.
    21. Ingmar Steinzen & Vitali Gintner & Leena Suhl & Natalia Kliewer, 2010. "A Time-Space Network Approach for the Integrated Vehicle- and Crew-Scheduling Problem with Multiple Depots," Transportation Science, INFORMS, vol. 44(3), pages 367-382, August.
    22. Fuentes, Manuel & Cadarso, Luis & Marín, Ángel, 2019. "A hybrid model for crew scheduling in rail rapid transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 248-265.
    23. Uçar, Ezgi & İlker Birbil, Ş. & Muter, İbrahim, 2017. "Managing disruptions in the multi-depot vehicle scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 249-269.
    24. Celso C. Ribeiro & François Soumis, 1994. "A Column Generation Approach to the Multiple-Depot Vehicle Scheduling Problem," Operations Research, INFORMS, vol. 42(1), pages 41-52, February.
    25. Pan, Hanchuan & Liu, Zhigang & Yang, Lixing & Liang, Zhe & Wu, Qiang & Li, Sijie, 2021. "A column generation-based approach for integrated vehicle and crew scheduling on a single metro line with the fully automatic operation system by partial supervision," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
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