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The open vehicle routing problem with time windows

Author

Listed:
  • P P Repoussis

    (Athens University of Economics and Business)

  • C D Tarantilis

    (Athens University of Economics and Business)

  • G Ioannou

    (Athens University of Economics and Business)

Abstract

In this paper, we consider the open vehicle routing problem with time windows (OVRPTW). The OVRPTW seeks to find a set of non-depot returning vehicle routes, for a fleet of capacitated vehicles, to satisfy customers’ requirements, within fixed time intervals that represent the earliest and latest times during the day that customers’ service can take place. We formulate a comprehensive mathematical model to capture all aspects of the problem, and incorporate in the model all critical practical concerns. The model is solved using a greedy look-ahead route construction heuristic algorithm, which utilizes time windows related information via composite customer selection and route-insertion criteria. These criteria exploit the interrelationships between customers, introduced by time windows, that dictate the sequence in which vehicles must visit customers. Computational results on a set of benchmark problems from the literature provide very good results and indicate the applicability of the methodology in real-life routing applications.

Suggested Citation

  • P P Repoussis & C D Tarantilis & G Ioannou, 2007. "The open vehicle routing problem with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 355-367, March.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:3:d:10.1057_palgrave.jors.2602143
    DOI: 10.1057/palgrave.jors.2602143
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    References listed on IDEAS

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    2. Jian Li & Yang Li & Panos M. Pardalos, 2016. "Multi-depot vehicle routing problem with time windows under shared depot resources," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 515-532, February.
    3. N. Norouzi & R. Tavakkoli-Moghaddam & M. Ghazanfari & M. Alinaghian & A. Salamatbakhsh, 2012. "A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization," Networks and Spatial Economics, Springer, vol. 12(4), pages 609-633, December.
    4. Yu, Shaohua & Puchinger, Jakob & Sun, Shudong, 2020. "Two-echelon urban deliveries using autonomous vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    5. Atefi, Reza & Salari, Majid & C. Coelho, Leandro & Renaud, Jacques, 2018. "The open vehicle routing problem with decoupling points," European Journal of Operational Research, Elsevier, vol. 265(1), pages 316-327.
    6. Ling Shen & Fengming Tao & Songyi Wang, 2018. "Multi-Depot Open Vehicle Routing Problem with Time Windows Based on Carbon Trading," IJERPH, MDPI, vol. 15(9), pages 1-20, September.
    7. Zhen, Lu & Tan, Zheyi & Wang, Shuaian & Yi, Wen & Lyu, Junyan, 2021. "Shared mobility oriented open vehicle routing with order radius decision," Transportation Research Part A: Policy and Practice, Elsevier, vol. 144(C), pages 19-33.
    8. Efraín Ruiz y Ruiz & Irma García-Calvillo & Samuel Nucamendi-Guillén, 2022. "Open vehicle routing problem with split deliveries: mathematical formulations and a cutting-plane method," Operational Research, Springer, vol. 22(2), pages 1017-1037, April.
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