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A matheuristic solution approach for the production routing problem with visit spacing policy

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  • Avci, Mustafa
  • Yildiz, Seyda Topaloglu

Abstract

The production routing problem (PRP) is an integrated operational planning problem that combines the two well-known optimization problems, vehicle routing problem (VRP) and lot-sizing problem (LSP). The PRP especially arises in vendor managed inventory (VMI) systems. The solutions obtained in VMI systems tend to benefit both the vendor and the retailers, however, solving PRPs by aiming only cost minimization may not provide satisfactory results to both parties. To remain competitive, companies also need to consider the service quality level. Visit spacing policy (VSP) is especially important to provide higher quality service to the retailers. In the VSP implementation, visit times of the retailers are regulated by imposing a minimum and a maximum time interval between two consecutive visits to the same retailer to ensure smoother operations. In this study, we extend the basic version of the PRP by taking into consideration the VSP. For its solution, an iterative matheuristic algorithm (MA) is proposed. The proposed MA is tested on a set of randomly generated problem instances with VSP as well as on standard PRP and the inventory routing problem (IRP) with VSP benchmark instances. The results indicate the effectiveness of the algorithm. Although not designed especially for the standard PRP and the IRP with VSP, the developed MA has also managed to improve the best known solutions for 388 out of 1174 standard PRP and the IRP with VSP test instances. Moreover, an extensive computational study is performed to reveal the effect of the VSP on the PRP.

Suggested Citation

  • Avci, Mustafa & Yildiz, Seyda Topaloglu, 2019. "A matheuristic solution approach for the production routing problem with visit spacing policy," European Journal of Operational Research, Elsevier, vol. 279(2), pages 572-588.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:2:p:572-588
    DOI: 10.1016/j.ejor.2019.05.021
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    as
    1. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    2. Day, Jamison M. & Daniel Wright, P. & Schoenherr, Tobias & Venkataramanan, Munirpallam & Gaudette, Kevin, 2009. "Improving routing and scheduling decisions at a distributor of industrial gasses," Omega, Elsevier, vol. 37(1), pages 227-237, February.
    3. N. Absi & C. Archetti & S. Dauzère-Pérès & D. Feillet, 2015. "A Two-Phase Iterative Heuristic Approach for the Production Routing Problem," Transportation Science, INFORMS, vol. 49(4), pages 784-795, November.
    4. Tan, C.C.R. & Beasley, J.E., 1984. "A heuristic algorithm for the period vehicle routing problem," Omega, Elsevier, vol. 12(5), pages 497-504.
    5. Boudia, M. & Prins, C., 2009. "A memetic algorithm with dynamic population management for an integrated production-distribution problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 703-715, June.
    6. Li, Yantong & Chu, Feng & Chu, Chengbin & Zhu, Zhanguo, 2019. "An efficient three-level heuristic for the large-scaled multi-product production routing problem with outsourcing," European Journal of Operational Research, Elsevier, vol. 272(3), pages 914-927.
    7. F. Fumero & C. Vercellis, 1999. "Synchronized Development of Production, Inventory, and Distribution Schedules," Transportation Science, INFORMS, vol. 33(3), pages 330-340, August.
    8. Russell, Robert A., 2017. "Mathematical programming heuristics for the production routing problem," International Journal of Production Economics, Elsevier, vol. 193(C), pages 40-49.
    9. Claudia Archetti & Luca Bertazzi & Gilbert Laporte & Maria Grazia Speranza, 2007. "A Branch-and-Cut Algorithm for a Vendor-Managed Inventory-Routing Problem," Transportation Science, INFORMS, vol. 41(3), pages 382-391, August.
    10. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2014. "Optimization-Based Adaptive Large Neighborhood Search for the Production Routing Problem," Transportation Science, INFORMS, vol. 48(1), pages 20-45, February.
    11. Neves-Moreira, Fábio & Almada-Lobo, Bernardo & Cordeau, Jean-François & Guimarães, Luís & Jans, Raf, 2019. "Solving a large multi-product production-routing problem with delivery time windows," Omega, Elsevier, vol. 86(C), pages 154-172.
    12. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
    13. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2014. "Formulations and Branch-and-Cut Algorithms for Multivehicle Production and Inventory Routing Problems," INFORMS Journal on Computing, INFORMS, vol. 26(1), pages 103-120, February.
    14. Claudia Archetti & Luca Bertazzi & Alain Hertz & M. Grazia Speranza, 2012. "A Hybrid Heuristic for an Inventory Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 101-116, February.
    15. Masoud Chitsaz & Jean-François Cordeau & Raf Jans, 2019. "A Unified Decomposition Matheuristic for Assembly, Production, and Inventory Routing," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 134-152, February.
    16. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February.
    17. Qiu, Yuzhuo & Ni, Ming & Wang, Liang & Li, Qinqin & Fang, Xuanjing & Pardalos, Panos M., 2018. "Production routing problems with reverse logistics and remanufacturing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 87-100.
    18. Nadjib Brahimi & Tarik Aouam, 2016. "Multi-item production routing problem with backordering: a MILP approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1076-1093, February.
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    2. Habibi, Muhammad Khakim & Hammami, Ramzi & Battaia, Olga & Dolgui, Alexandre, 2024. "Simultaneous Pickup-and-Delivery Production-Routing Problem in closed-loop supply chain with remanufacturing and disassembly consideration," International Journal of Production Economics, Elsevier, vol. 273(C).
    3. Zakaria Chekoubi & Wajdi Trabelsi & Nathalie Sauer & Ilias Majdouline, 2022. "The Integrated Production-Inventory-Routing Problem with Reverse Logistics and Remanufacturing: A Two-Phase Decomposition Heuristic," Sustainability, MDPI, vol. 14(20), pages 1-30, October.
    4. Manousakis, Eleftherios G. & Kasapidis, Grigoris A. & Kiranoudis, Chris T. & Zachariadis, Emmanouil E., 2022. "An infeasible space exploring matheuristic for the Production Routing Problem," European Journal of Operational Research, Elsevier, vol. 298(2), pages 478-495.
    5. Alvarez, Aldair & Miranda, Pedro & Rohmer, S.U.K., 2022. "Production routing for perishable products," Omega, Elsevier, vol. 111(C).

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