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The Vehicle Routing Problem with Divisible Deliveries and Pickups

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  • Gábor Nagy

    (Centre for Logistics and Heuristic Optimisation, Kent Business School, University of Kent, Canterbury CT2 7PE, United Kingdom)

  • Niaz A. Wassan

    (Centre for Logistics and Heuristic Optimisation, Kent Business School, University of Kent, Canterbury CT2 7PE, United Kingdom)

  • M. Grazia Speranza

    (Dipartimento Metodi Quantitativi, Università degli Studi di Brescia, 25122 Brescia, Italy)

  • Claudia Archetti

    (Dipartimento Metodi Quantitativi, Università degli Studi di Brescia, 25122 Brescia, Italy)

Abstract

The vehicle routing problem with divisible deliveries and pickups is a new and interesting model within reverse logistics. Each customer may have a pickup and delivery demand that have to be served with capacitated vehicles. The pickup and the delivery quantities may be served, if beneficial, in two separate visits. The model is placed in the context of other delivery and pickup problems and formulated as a mixed-integer linear programming problem. In this paper, we study the savings that can be achieved by allowing the pickup and delivery quantities to be served separately with respect to the case where the quantities have to be served simultaneously. Both exact and heuristic results are analysed in depth for a better understanding of the problem structure and an average estimation of the savings due to the possibility of serving pickup and delivery quantities separately.

Suggested Citation

  • Gábor Nagy & Niaz A. Wassan & M. Grazia Speranza & Claudia Archetti, 2015. "The Vehicle Routing Problem with Divisible Deliveries and Pickups," Transportation Science, INFORMS, vol. 49(2), pages 271-294, May.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:2:p:271-294
    DOI: 10.1287/trsc.2013.0501
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    References listed on IDEAS

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    6. 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.
    7. Zhen, Lu & Baldacci, Roberto & Tan, Zheyi & Wang, Shuaian & Lyu, Junyan, 2022. "Scheduling heterogeneous delivery tasks on a mixed logistics platform," European Journal of Operational Research, Elsevier, vol. 298(2), pages 680-698.
    8. Bolor Jargalsaikhan & Ward Romeijnders & Kees Jan Roodbergen, 2021. "A Compact Arc-Based ILP Formulation for the Pickup and Delivery Problem with Divisible Pickups and Deliveries," Transportation Science, INFORMS, vol. 55(2), pages 336-352, March.
    9. Yaping Ren & Xinyu Lu & Hongfei Guo & Zhaokang Xie & Haoyang Zhang & Chaoyong Zhang, 2023. "A Review of Combinatorial Optimization Problems in Reverse Logistics and Remanufacturing for End-of-Life Products," Mathematics, MDPI, vol. 11(2), pages 1-24, January.
    10. Baals, Julian & Emde, Simon & Turkensteen, Marcel, 2023. "Minimizing earliness-tardiness costs in supplier networks—A just-in-time truck routing problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 707-741.
    11. Zhaofang Mao & Dian Huang & Kan Fang & Chengbo Wang & Dandan Lu, 2020. "Milk-run routing problem with progress-lane in the collection of automobile parts," Annals of Operations Research, Springer, vol. 291(1), pages 657-684, August.
    12. Alvarez-Valdes, Ramon & Belenguer, Jose M. & Benavent, Enrique & Bermudez, Jose D. & Muñoz, Facundo & Vercher, Enriqueta & Verdejo, Francisco, 2016. "Optimizing the level of service quality of a bike-sharing system," Omega, Elsevier, vol. 62(C), pages 163-175.
    13. Pawel Sitek & Jarosław Wikarek, 2019. "Capacitated vehicle routing problem with pick-up and alternative delivery (CVRPPAD): model and implementation using hybrid approach," Annals of Operations Research, Springer, vol. 273(1), pages 257-277, February.
    14. Heimfarth, Andreas & Ostermeier, Manuel & Hübner, Alexander, 2022. "A mixed truck and robot delivery approach for the daily supply of customers," European Journal of Operational Research, Elsevier, vol. 303(1), pages 401-421.
    15. Weikang Fang & Zailin Guan & Peiyue Su & Dan Luo & Linshan Ding & Lei Yue, 2022. "Multi-Objective Material Logistics Planning with Discrete Split Deliveries Using a Hybrid NSGA-II Algorithm," Mathematics, MDPI, vol. 10(16), pages 1-30, August.
    16. Allahviranloo, Mahdieh & Baghestani, Amirhossein, 2019. "A dynamic crowdshipping model and daily travel behavior," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 175-190.
    17. Santos, Maria João & Jorge, Diana & Ramos, Tânia & Barbosa-Póvoa, Ana, 2023. "Green reverse logistics: Exploring the vehicle routing problem with deliveries and pickups," Omega, Elsevier, vol. 118(C).

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