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A Lagrangian heuristic for the real-time vehicle rescheduling problem

Author

Listed:
  • Li, Jing-Quan
  • Mirchandani, Pitu B.
  • Borenstein, Denis

Abstract

When a public transit vehicle breaks down on a scheduled trip, one or more vehicles need to be rescheduled to serve that trip and other service trips originally scheduled for the disabled vehicle. In this paper, the vehicle rescheduling problem (VRSP) is investiaged to consider operating costs, schedule disruption costs, and trip cancellation costs. The VRSP is proven to be NP-hard, and a Lagrangian relaxation based insertion heuristic is developed. Extensive computational experiments on randomly generated problems are reported. The results show that the Lagrangian heuristic performs very well for solving the VRSP.

Suggested Citation

  • Li, Jing-Quan & Mirchandani, Pitu B. & Borenstein, Denis, 2009. "A Lagrangian heuristic for the real-time vehicle rescheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 419-433, May.
    • Handle: RePEc:eee:transe:v:45:y:2009:i:3:p:419-433
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    Cited by:

    1. 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.
    2. Guarnaschelli, Armando & Chiotti, Omar & Salomone, Hector E., 2013. "An approach based on constraint satisfaction problems to disruptive event management in supply chains," International Journal of Production Economics, Elsevier, vol. 144(1), pages 223-242.
    3. Spliet, R. & Gabor, A.F. & Dekker, R., 2009. "The Vehicle Rescheduling Problem," Econometric Institute Research Papers EI 2009-43, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Jafarian, Ahmad & Asgari, Nasrin & Mohri, Seyed Sina & Fatemi-Sadr, Elham & Farahani, Reza Zanjirani, 2019. "The inventory-routing problem subject to vehicle failure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 254-294.
    5. Aderemi Oluyinka Adewumi & Olawale Joshua Adeleke, 2018. "A survey of recent advances in vehicle routing problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(1), pages 155-172, February.
    6. Kouhei Harada, 2021. "A Feasibility-Ensured Lagrangian Heuristic for General Decomposable Problems," SN Operations Research Forum, Springer, vol. 2(4), pages 1-26, December.
    7. Ji, Chenlu & Mandania, Rupal & Liu, Jiyin & Liret, Anne, 2022. "Scheduling on-site service deliveries to minimise the risk of missing appointment times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    8. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    9. Junhu Ruan & Felix T. S. Chan & Xiaofeng Zhao, 2018. "Re-Planning the Intermodal Transportation of Emergency Medical Supplies with Updated Transfer Centers," Sustainability, MDPI, vol. 10(8), pages 1-20, August.
    10. Balázs Dávid & Miklós Krész, 2017. "The dynamic vehicle rescheduling problem," 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. 25(4), pages 809-830, December.
    11. Q Mu & Z Fu & J Lysgaard & R Eglese, 2011. "Disruption management of the vehicle routing problem with vehicle breakdown," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 742-749, April.
    12. Tang, Jiafu & Yu, Yang & Li, Jia, 2015. "An exact algorithm for the multi-trip vehicle routing and scheduling problem of pickup and delivery of customers to the airport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 114-132.
    13. Wang, Xuping & Ruan, Junhu & Shi, Yan, 2012. "A recovery model for combinational disruptions in logistics delivery: Considering the real-world participators," International Journal of Production Economics, Elsevier, vol. 140(1), pages 508-520.
    14. 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.
    15. Federico Malucelli & Emanuele Tresoldi, 2019. "Delay and disruption management in local public transportation via real-time vehicle and crew re-scheduling: a case study," Public Transport, Springer, vol. 11(1), pages 1-25, June.
    16. Gkiotsalitis, K. & Cats, O., 2021. "At-stop control measures in public transport: Literature review and research agenda," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    17. van Lieshout, R.N. & Mulder, J. & Huisman, D., 2016. "The Vehicle Rescheduling Problem with Retiming," Econometric Institute Research Papers EI2016-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    18. Ozbaygin, Gizem & Savelsbergh, Martin, 2019. "An iterative re-optimization framework for the dynamic vehicle routing problem with roaming delivery locations," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 207-235.
    19. Kuo, Yong-Hong & Leung, Janny M.Y. & Yan, Yimo, 2023. "Public transport for smart cities: Recent innovations and future challenges," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1001-1026.

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