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A bi-objective mathematical model for two-dimensional loading time-dependent vehicle routing problem

Author

Listed:
  • Mahdi Alinaghian

    (Isfahan University of Technology)

  • Komail Zamanlou

    (Isfahan University of Technology)

  • Mohammad S. Sabbagh

    (Isfahan University of Technology)

Abstract

This paper introduces two-dimensional loading time-dependent vehicle routing problem and proposes a bi-objective mathematical model. This problem assesses the process of distributing the rectangular-shaped demanded items over an urban environment; it does not, however, allow items to be loaded on top of each other. In addition to the above assumptions, the presented model also satisfies the first-in-first-out property in the time-dependent vehicle routing problem. Given the NP-hard nature of the problem, a method called elitist non-dominated sorting local search is developed to obtain its solutions. To evaluate the performance of the proposed algorithm, the solutions of this algorithm for small-scale problem instances are compared with the results of an exact method. For the medium-scale problem instances, results of NSGA-II and SPEA2 are used as the basis of comparison. The computational results demonstrate the good performance of the proposed method.

Suggested Citation

  • Mahdi Alinaghian & Komail Zamanlou & Mohammad S. Sabbagh, 2017. "A bi-objective mathematical model for two-dimensional loading time-dependent vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1422-1441, November.
    • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:11:d:10.1057_s41274-016-0151-x
    DOI: 10.1057/s41274-016-0151-x
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    References listed on IDEAS

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    Cited by:

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    2. Xiang Song & Dylan Jones & Nasrin Asgari & Tim Pigden, 2020. "Multi-objective vehicle routing and loading with time window constraints: a real-life application," Annals of Operations Research, Springer, vol. 291(1), pages 799-825, August.
    3. Zhang, Xiangyi & Chen, Lu & Gendreau, Michel & Langevin, André, 2022. "A branch-and-cut algorithm for the vehicle routing problem with two-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 302(1), pages 259-269.
    4. Erfan Ghorbani & Mahdi Alinaghian & Gevork. B. Gharehpetian & Sajad Mohammadi & Guido Perboli, 2020. "A Survey on Environmentally Friendly Vehicle Routing Problem and a Proposal of Its Classification," Sustainability, MDPI, vol. 12(21), pages 1-71, October.
    5. Yaoting Huang & Boyu Chen & Wenlian Lu & Zhong-Xiao Jin & Ren Zheng, 2022. "Asynchronous optimization of part logistics routing problem," Journal of Global Optimization, Springer, vol. 82(4), pages 803-834, April.

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