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A multilevel approach for modelling vehicle routing problem with uncertain travelling time

Author

Listed:
  • Yufu Ning

    (Shandong Youth University of Political Science
    Key Laboratory of Information Security and Intelligent Control in Universities of Shandong)

  • Taoyong Su

    (Tongji University)

Abstract

Vehicle routing problem is concerned with finding optimal collection or delivery routes in a transportation network, beginning and ending at a central depot, for a fleet of vehicles to serve a set of customers under some constraints. Assuming the travel times between two customers are uncertain variables, this paper proposes an uncertain multilevel programming model for a vehicle routing problem, of which the leader’s object is to minimize the total waiting times of the customers, and the followers’ objects are to minimize the waiting times of the vehicles for the beginning moments of the customers’ time windows. The uncertain multilevel programming model is transformed into a determinacy programming model, and an intelligent algorithm is designed for solving the crisp model.

Suggested Citation

  • Yufu Ning & Taoyong Su, 2017. "A multilevel approach for modelling vehicle routing problem with uncertain travelling time," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 683-688, March.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:3:d:10.1007_s10845-014-0979-3
    DOI: 10.1007/s10845-014-0979-3
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    References listed on IDEAS

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    Cited by:

    1. Yang, Meng & Ni, Yaodong & Song, Qinyu, 2022. "Optimizing driver consistency in the vehicle routing problem under uncertain environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    2. Rong Gao, 2022. "Almost Sure Stability for Multi-Dimensional Uncertain Differential Equations," Mathematics, MDPI, vol. 10(19), pages 1-10, September.
    3. Zhang, Bo & Li, Hui & Li, Shengguo & Peng, Jin, 2018. "Sustainable multi-depot emergency facilities location-routing problem with uncertain information," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 506-520.
    4. Xianghua Chu & Su Xiu Xu & Fulin Cai & Jiansheng Chen & Quande Qin, 2019. "An efficient auction mechanism for regional logistics synchronization," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2715-2731, October.
    5. Syed Aqib Jalil & Shakeel Javaid & Syed Mohd Muneeb, 2018. "A decentralized multi-level decision making model for solid transportation problem with uncertainty," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(5), pages 1022-1033, October.

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