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Learning Whale Optimization Algorithm for Open Vehicle Routing Problem with Loading Constraints

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  • Nai K. Yu
  • Wen Jiang
  • Rong Hu
  • Bin Qian
  • Ling Wang
  • Lianbo Ma

Abstract

This paper addresses the two-dimensional loading open vehicle routing problem with time window (2L-OVRPTW). We propose a learning whale optimization algorithm (LWOA) to minimize the total distance; an improved skyline filling algorithm (ISFA) is designed to solve the two-dimensional loading problem. In LWOA, the whale optimization algorithm is used to search the solution space and get the high-quality solution. Then, by learning and accumulating the block structure and customer location information in the high-quality solution individuals, a three-dimensional matrix is designed to guide the updating of the population. Finally, according to the problem characteristics, the local search method based on fleet and vehicle is designed and performed on the high-quality solution region. IFSA is used to optimize the optimal individual. The computational results show that the proposed algorithm can effectively solve 2L-OVRPTW.

Suggested Citation

  • Nai K. Yu & Wen Jiang & Rong Hu & Bin Qian & Ling Wang & Lianbo Ma, 2021. "Learning Whale Optimization Algorithm for Open Vehicle Routing Problem with Loading Constraints," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-14, December.
    • Handle: RePEc:hin:jnddns:8016356
    DOI: 10.1155/2021/8016356
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    Cited by:

    1. Yutong Zhang & Hongwei Li & Zhaotu Wang & Huajian Wang, 2024. "A Multi-Objective Learning Whale Optimization Algorithm for Open Vehicle Routing Problem with Two-Dimensional Loading Constraints," Mathematics, MDPI, vol. 12(5), pages 1-24, February.
    2. Alejandro Sanz & Peter Meyer, 2024. "Electrifying the Last-Mile Logistics (LML) in Intensive B2B Operations—An European Perspective on Integrating Innovative Platforms," Logistics, MDPI, vol. 8(2), pages 1-39, April.
    3. Zhengying Cai & Xiaolu Wang & Rui Li & Qi Gao, 2023. "An Artificial Physarum polycephalum Colony for the Electric Location-Routing Problem," Sustainability, MDPI, vol. 15(23), pages 1-29, November.

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