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Hybrid metaheuristic solutions to inventory location routing problem

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  • Zhang, Ying
  • Qi, Mingyao
  • Miao, Lixin
  • Liu, Erchao

Abstract

This paper considers a supply chain network with multiple depots and geographically dispersed customers, each of which faces non-constant demand over a discrete planning horizon. The goal is to determine a set of depots to open, the delivery quantities to customers per period and the sequence in which they are replenished by a vehicle fleet such that the total system-wide cost is minimized. To solve it, first we construct a mixed integer program, and then propose a hybrid metaheuristic consisting of initialization, intensification and post-optimization. Results show that the proposed heuristic is considerably efficient and effective for many classical instances.

Suggested Citation

  • Zhang, Ying & Qi, Mingyao & Miao, Lixin & Liu, Erchao, 2014. "Hybrid metaheuristic solutions to inventory location routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 305-323.
  • Handle: RePEc:eee:transe:v:70:y:2014:i:c:p:305-323
    DOI: 10.1016/j.tre.2014.07.010
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    1. Mete, Huseyin Onur & Zabinsky, Zelda B., 2010. "Stochastic optimization of medical supply location and distribution in disaster management," International Journal of Production Economics, Elsevier, vol. 126(1), pages 76-84, July.
    2. César Rego, 1998. "A Subpath Ejection Method for the Vehicle Routing Problem," Management Science, INFORMS, vol. 44(10), pages 1447-1459, October.
    3. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    4. Guerrero, W.J. & Prodhon, C. & Velasco, N. & Amaya, C.A., 2013. "Hybrid heuristic for the inventory location-routing problem with deterministic demand," International Journal of Production Economics, Elsevier, vol. 146(1), pages 359-370.
    5. Nozick, Linda K. & Turnquist, Mark A., 1998. "Integrating inventory impacts into a fixed-charge model for locating distribution centers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 34(3), pages 173-186, September.
    6. Rennemo, Sigrid Johansen & Rø, Kristina Fougner & Hvattum, Lars Magnus & Tirado, Gregorio, 2014. "A three-stage stochastic facility routing model for disaster response planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 116-135.
    7. S. Viswanathan & Kamlesh Mathur, 1997. "Integrating Routing and Inventory Decisions in One-Warehouse Multiretailer Multiproduct Distribution Systems," Management Science, INFORMS, vol. 43(3), pages 294-312, March.
    8. Ahmadi Javid, Amir & Azad, Nader, 2010. "Incorporating location, routing and inventory decisions in supply chain network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 582-597, September.
    9. Huang, Shan-Huen & Lin, Pei-Chun, 2010. "A modified ant colony optimization algorithm for multi-item inventory routing problems with demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 598-611, September.
    10. Ting, Ching-Jung & Chen, Chia-Ho, 2013. "A multiple ant colony optimization algorithm for the capacitated location routing problem," International Journal of Production Economics, Elsevier, vol. 141(1), pages 34-44.
    11. Miranda, Pablo A. & Garrido, Rodrigo A., 2008. "Valid inequalities for Lagrangian relaxation in an inventory location problem with stochastic capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 47-65, January.
    12. Barreto, Sergio & Ferreira, Carlos & Paixao, Jose & Santos, Beatriz Sousa, 2007. "Using clustering analysis in a capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 968-977, June.
    13. Luca Bertazzi & Giuseppe Paletta & M. Grazia Speranza, 2002. "Deterministic Order-Up-To Level Policies in an Inventory Routing Problem," Transportation Science, INFORMS, vol. 36(1), pages 119-132, February.
    14. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    15. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    16. Cha, B.C. & Moon, I.K. & Park, J.H., 2008. "The joint replenishment and delivery scheduling of the one-warehouse, n-retailer system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 720-730, September.
    17. Paolo Toth & Daniele Vigo, 2003. "The Granular Tabu Search and Its Application to the Vehicle-Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(4), pages 333-346, November.
    18. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    19. Ambrosino, Daniela & Grazia Scutella, Maria, 2005. "Distribution network design: New problems and related models," European Journal of Operational Research, Elsevier, vol. 165(3), pages 610-624, September.
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    Cited by:

    1. Li, Ming & Wang, Zheng & Chan, Felix T.S., 2016. "A robust inventory routing policy under inventory inaccuracy and replenishment lead-time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 290-305.
    2. Fattahi, Mohammad & Mahootchi, Masoud & Govindan, Kannan & Moattar Husseini, Seyed Mohammad, 2015. "Dynamic supply chain network design with capacity planning and multi-period pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 169-202.
    3. Shang, Xiaoting & Zhang, Guoqing & Jia, Bin & Almanaseer, Mohammed, 2022. "The healthcare supply location-inventory-routing problem: A robust approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    4. Lihua Liu & Lai Soon Lee & Hsin-Vonn Seow & Chuei Yee Chen, 2022. "Logistics Center Location-Inventory-Routing Problem Optimization: A Systematic Review Using PRISMA Method," Sustainability, MDPI, vol. 14(23), pages 1-39, November.
    5. Tapia-Ubeda, Francisco J. & Miranda, Pablo A. & Macchi, Marco, 2018. "A Generalized Benders Decomposition based algorithm for an inventory location problem with stochastic inventory capacity constraints," European Journal of Operational Research, Elsevier, vol. 267(3), pages 806-817.
    6. Zhang, Ying & Qi, Mingyao & Lin, Wei-Hua & Miao, Lixin, 2015. "A metaheuristic approach to the reliable location routing problem under disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 90-110.
    7. Liu, Aijun & Zhu, Qiuyun & Xu, Lei & Lu, Qiang & Fan, Youqing, 2021. "Sustainable supply chain management for perishable products in emerging markets: An integrated location-inventory-routing model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    8. Zheng, Xiaojin & Yin, Meixia & Zhang, Yanxia, 2019. "Integrated optimization of location, inventory and routing in supply chain network design," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 1-20.
    9. Paredes-Belmar, Germán & Marianov, Vladimir & Bronfman, Andrés & Obreque, Carlos & Lüer-Villagra, Armin, 2016. "A milk collection problem with blending," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 26-43.
    10. Zhao, Jiahong & Ke, Ginger Y., 2017. "Incorporating inventory risks in location-routing models for explosive waste management," International Journal of Production Economics, Elsevier, vol. 193(C), pages 123-136.
    11. Erfan Babaee Tirkolaee & Alireza Goli & Abbas Mardani, 2023. "A novel two-echelon hierarchical location-allocation-routing optimization for green energy-efficient logistics systems," Annals of Operations Research, Springer, vol. 324(1), pages 795-823, May.
    12. Chen Chao & Tian Zhihui & Yao Baozhen, 2019. "Optimization of two-stage location–routing–inventory problem with time-windows in food distribution network," Annals of Operations Research, Springer, vol. 273(1), pages 111-134, February.
    13. Schuster Puga, Matías & Tancrez, Jean-Sébastien, 2017. "A heuristic algorithm for solving large location–inventory problems with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 259(2), pages 413-423.
    14. Gia-Shie Liu & Kuo-Ping Lin, 2020. "The Online Distribution System of Inventory-Routing Problem with Simultaneous Deliveries and Returns Concerning CO 2 Emission Cost," Mathematics, MDPI, vol. 8(6), pages 1-27, June.

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