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The Vehicle Routing Problem with Simultaneous Pickup and Delivery Considering the Total Number of Collected Goods

Author

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  • Qinge Guo

    (School of Management, Xi’an Jiaotong University, Xi’an 710049, China
    School of Economics and Management, Xi’an Technological University, Xi’an 710021, China)

  • Nengmin Wang

    (School of Management, Xi’an Jiaotong University, Xi’an 710049, China)

Abstract

As a consequence of e-commerce development, large quantities of returned goods are shipped every day. The vehicle routing problem with simultaneous delivery and pickup (VRPSDP) has become one of the most important areas of logistics management. Most related studies are aimed at minimizing travel time. However, the total number of collected goods is also very important to logistics companies. Thus, only considering the traveling time cannot reflect actual practice. To effectively optimize these operations for logistics companies, this paper introduces the vehicle routing problem with simultaneous pickup and delivery considering the total number of collected goods. Based on the principles of considering the number of collected goods, a bi-objective vehicle routing model minimizing the total travel time and maximizing the total number of collected goods simultaneously is developed. A polynomial time approximation algorithm based on the ε -constraint method is designed to address this problem, and the approximation ratio of the algorithm is analyzed. Finally, the validity and feasibility of the proposed model and algorithm are verified by test examples, and several managerial insights are derived from the sensitivity analysis.

Suggested Citation

  • Qinge Guo & Nengmin Wang, 2023. "The Vehicle Routing Problem with Simultaneous Pickup and Delivery Considering the Total Number of Collected Goods," Mathematics, MDPI, vol. 11(2), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:311-:d:1028030
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    References listed on IDEAS

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    1. Bérubé, Jean-François & Gendreau, Michel & Potvin, Jean-Yves, 2009. "An exact [epsilon]-constraint method for bi-objective combinatorial optimization problems: Application to the Traveling Salesman Problem with Profits," European Journal of Operational Research, Elsevier, vol. 194(1), pages 39-50, April.
    2. Zhu, Lin & Sheu, Jiuh-Biing, 2018. "Failure-specific cooperative recourse strategy for simultaneous pickup and delivery problem with stochastic demands," European Journal of Operational Research, Elsevier, vol. 271(3), pages 896-912.
    3. Li, Chongshou & Gong, Lijun & Luo, Zhixing & Lim, Andrew, 2019. "A branch-and-price-and-cut algorithm for a pickup and delivery problem in retailing," Omega, Elsevier, vol. 89(C), pages 71-91.
    4. Emmanouil E. Zachariadis & Christos D. Tarantilis & Chris T. Kiranoudis, 2017. "Vehicle routing strategies for pick-up and delivery service under two dimensional loading constraints," Operational Research, Springer, vol. 17(1), pages 115-143, April.
    5. Minis, I. & Tatarakis, A., 2011. "Stochastic single vehicle routing problem with delivery and pick up and a predefined customer sequence," European Journal of Operational Research, Elsevier, vol. 213(1), pages 37-51, August.
    6. Mauro Dell’Amico & Giovanni Righini & Matteo Salani, 2006. "A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection," Transportation Science, INFORMS, vol. 40(2), pages 235-247, May.
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    Cited by:

    1. Yinggui Zhang & Lining Sheng, 2023. "Optimization of Simultaneous Pickup and Delivery Vehicle Routing with Three-Dimensional Balanced Loading Constraints," Sustainability, MDPI, vol. 15(11), pages 1-20, June.

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