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Using cost change estimates in a local search heuristic for the pollution routing problem

Author

Listed:
  • Onur Can Saka

    (Middle East Technical University
    Eindhoven University of Technology)

  • Sinan Gürel

    (Middle East Technical University)

  • Tom Van Woensel

    (Eindhoven University of Technology)

Abstract

We consider the pollution routing problem (PRP) with deadlines and heterogeneous fleet for which we implement a local search heuristic using inter-route relocate, exchange and intra-route relocate moves. The subproblem of finding optimal speed levels of a truck for a given tour gives optimality properties which relate the marginal speedup costs for each leg on the tour. We use the derived optimality properties and marginal speedup costs to evaluate possible search moves and choose the most promising ones to implement in local search heuristic. Computational results show that this approach improves solution times significantly while improving solution quality for large instances.

Suggested Citation

  • Onur Can Saka & Sinan Gürel & Tom Van Woensel, 2017. "Using cost change estimates in a local search heuristic for the pollution routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 557-587, March.
    • Handle: RePEc:spr:orspec:v:39:y:2017:i:2:d:10.1007_s00291-016-0464-9
    DOI: 10.1007/s00291-016-0464-9
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    References listed on IDEAS

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    Cited by:

    1. Mohammad Asghari & Seyed Mohammad Javad Mirzapour Al-E-Hashem, 2021. "Green vehicle routing problem: A state-of-the-art review," Post-Print hal-03182944, HAL.
    2. Xiao, Yiyong & Zuo, Xiaorong & Huang, Jiaoying & Konak, Abdullah & Xu, Yuchun, 2020. "The continuous pollution routing problem," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    3. Garside, Annisa Kesy & Ahmad, Robiah & Muhtazaruddin, Mohd Nabil Bin, 2024. "A recent review of solution approaches for green vehicle routing problem and its variants," Operations Research Perspectives, Elsevier, vol. 12(C).
    4. Emna Marrekchi & Walid Besbes & Diala Dhouib & Emrah Demir, 2021. "A review of recent advances in the operations research literature on the green routing problem and its variants," Annals of Operations Research, Springer, vol. 304(1), pages 529-574, September.
    5. Ehmke, Jan Fabian & Campbell, Ann M. & Thomas, Barrett W., 2018. "Optimizing for total costs in vehicle routing in urban areas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 242-265.
    6. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2021. "Green vehicle routing problem: A state-of-the-art review," International Journal of Production Economics, Elsevier, vol. 231(C).
    7. Bao, Dan-Wen & Zhou, Jia-Yi & Zhang, Zi-Qian & Chen, Zhuo & Kang, Di, 2023. "Mixed fleet scheduling method for airport ground service vehicles under the trend of electrification," Journal of Air Transport Management, Elsevier, vol. 108(C).
    8. Rahma Lahyani & Leandro C. Coelho & Jacques Renaud, 2018. "Alternative formulations and improved bounds for the multi-depot fleet size and mix vehicle routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 125-157, January.

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