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The real-time time-dependent vehicle routing problem

Author

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  • Chen, Huey-Kuo
  • Hsueh, Che-Fu
  • Chang, Mei-Shiang

Abstract

In this article, the real-time time-dependent vehicle routing problem with time windows is formulated as a series of mixed integer programming models that account for real-time and time-dependent travel times, as well as for real-time demands in a unified framework. In addition to vehicles routes, departure times are treated as decision variables, with delayed departure permitted at each node serviced. A heuristic comprising route construction and route improvement is proposed within which critical nodes are defined to delineate the scope of the remaining problem along the time rolling horizon and an efficient technique for choosing optimal departure times is developed. Fifty-six numerical problems and a real application are provided for demonstration.

Suggested Citation

  • Chen, Huey-Kuo & Hsueh, Che-Fu & Chang, Mei-Shiang, 2006. "The real-time time-dependent vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(5), pages 383-408, September.
    • Handle: RePEc:eee:transe:v:42:y:2006:i:5:p:383-408
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    Citations

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    Cited by:

    1. Verbeeck, C. & Vansteenwegen, P. & Aghezzaf, E.-H., 2016. "Solving the stochastic time-dependent orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 255(3), pages 699-718.
    2. Qiuping Ni & Yuanxiang Tang, 2023. "A Bibliometric Visualized Analysis and Classification of Vehicle Routing Problem Research," Sustainability, MDPI, vol. 15(9), pages 1-37, April.
    3. Giménez-Palacios, Iván & Parreño, Francisco & Álvarez-Valdés, Ramón & Paquay, Célia & Oliveira, Beatriz Brito & Carravilla, Maria Antónia & Oliveira, José Fernando, 2022. "First-mile logistics parcel pickup: Vehicle routing with packing constraints under disruption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    4. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    5. Liu, Zeyu & Li, Xueping & Khojandi, Anahita, 2022. "The flying sidekick traveling salesman problem with stochastic travel time: A reinforcement learning approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    6. Furini, Fabio & Persiani, Carlo Alfredo & Toth, Paolo, 2016. "The Time Dependent Traveling Salesman Planning Problem in Controlled Airspace," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 38-55.
    7. Anne Meyer & Suad Sejdovic & Katharina Glock & Matthias Bender & Natalja Kleiner & Dominik Riemer, 2018. "A disruption management system for automotive inbound networks: concepts and challenges," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 7(1), pages 25-56, March.
    8. Marlin W. Ulmer & Justin C. Goodson & Dirk C. Mattfeld & Marco Hennig, 2019. "Offline–Online Approximate Dynamic Programming for Dynamic Vehicle Routing with Stochastic Requests," Service Science, INFORMS, vol. 53(1), pages 185-202, February.
    9. Lecluyse, Christophe & Sörensen, Kenneth & Peremans, Herbert, 2013. "A network-consistent time-dependent travel time layer for routing optimization problems," European Journal of Operational Research, Elsevier, vol. 226(3), pages 395-413.
    10. 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.
    11. Cédric Verbeeck & Pieter Vansteenwegen & El-Houssaine Aghezzaf, 2017. "The time-dependent orienteering problem with time windows: a fast ant colony system," Annals of Operations Research, Springer, vol. 254(1), pages 481-505, July.
    12. Verbeeck, C. & Sörensen, K. & Aghezzaf, E.-H. & Vansteenwegen, P., 2014. "A fast solution method for the time-dependent orienteering problem," European Journal of Operational Research, Elsevier, vol. 236(2), pages 419-432.
    13. Fontaine, Romain & Dibangoye, Jilles & Solnon, Christine, 2023. "Exact and anytime approach for solving the time dependent traveling salesman problem with time windows," European Journal of Operational Research, Elsevier, vol. 311(3), pages 833-844.
    14. Soeffker, Ninja & Ulmer, Marlin W. & Mattfeld, Dirk C., 2022. "Stochastic dynamic vehicle routing in the light of prescriptive analytics: A review," European Journal of Operational Research, Elsevier, vol. 298(3), pages 801-820.
    15. Xiao, Yiyong & Konak, Abdullah, 2016. "The heterogeneous green vehicle routing and scheduling problem with time-varying traffic congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 146-166.
    16. 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.
    17. Kuo, Tsai Chi & Chen, Gary Yu-Hsin & Wang, Miao Ling & Ho, Ming Way, 2014. "Carbon footprint inventory route planning and selection of hot spot suppliers," International Journal of Production Economics, Elsevier, vol. 150(C), pages 125-139.

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