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An Improved Long-Run Model for Multiple Warehouse Location

Author

Listed:
  • Dennis J. Sweeney

    (University of Cincinnati)

  • Ronad L. Tatham

    (University of Cincinnati)

Abstract

This paper proposes an improved model for solving the long-run multiple warehouse location problem. The approach used provides a synthesis of a mixed integer programming formulation for the single-period warehouse location model with a dynamic programming procedure for finding the optimal sequence of configurations over multiple periods. We show that only the R t , best rank order solutions in any single period need be considered as candidates for inclusion in the optimal multi-period solution. Thus the computational feasibility of the dynamic programming procedure is enhanced by restricting the state space to these R t best solutions. Computational results on the ranking procedure are presented, and a problem involving two plants, five warehouses, 15 customer zones, and five periods is solved to illustrate the application of the method.

Suggested Citation

  • Dennis J. Sweeney & Ronad L. Tatham, 1976. "An Improved Long-Run Model for Multiple Warehouse Location," Management Science, INFORMS, vol. 22(7), pages 748-758, March.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:7:p:748-758
    DOI: 10.1287/mnsc.22.7.748
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    Cited by:

    1. Balakrishnan, Jaydeep & Cheng, Chun Hung, 1998. "Dynamic layout algorithms: a state-of-the-art survey," Omega, Elsevier, vol. 26(4), pages 507-521, August.
    2. M T Lucas & D Chhajed, 2004. "Applications of location analysis in agriculture: a survey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 561-578, June.
    3. Maria Albareda-Sambola & Antonio Alonso-Ayuso & Laureano Escudero & Elena Fernández & Yolanda Hinojosa & Celeste Pizarro-Romero, 2010. "A computational comparison of several formulations for the multi-period incremental service facility location problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 62-80, July.
    4. Kilmer, Richard L. & Spreen, Thomas H., 1983. "Indian River Citrus Peackinghouses and the Southward Movement of Production," Economic Information Report 237422, University of Florida, Food and Resource Economics Department.
    5. Reza Farahani & Zvi Drezner & Nasrin Asgari, 2009. "Single facility location and relocation problem with time dependent weights and discrete planning horizon," Annals of Operations Research, Springer, vol. 167(1), pages 353-368, March.
    6. Kilmer, Richard L. & Armbruster, Walter J., 1984. "Methods For Evaluating Economic Efficiency In Agricultural Marketing," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 16(1), pages 1-9, July.
    7. Badri, Masood A., 1999. "Combining the analytic hierarchy process and goal programming for global facility location-allocation problem," International Journal of Production Economics, Elsevier, vol. 62(3), pages 237-248, September.
    8. Yijun Shi & Guofang Zhai & Lihua Xu & Quan Zhu & Jinyang Deng, 2019. "Planning Emergency Shelters for Urban Disasters: A Multi-Level Location–Allocation Modeling Approach," Sustainability, MDPI, vol. 11(16), pages 1-19, August.
    9. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    10. Liying Yan & Manel Grifoll & Hongxiang Feng & Pengjun Zheng & Chunliang Zhou, 2022. "Optimization of Urban Distribution Centres: A Multi-Stage Dynamic Location Approach," Sustainability, MDPI, vol. 14(7), pages 1-16, March.
    11. Amir Hossein Sadeghi & Ziyuan Sun & Amirreza Sahebi-Fakhrabad & Hamid Arzani & Robert Handfield, 2023. "A Mixed-Integer Linear Formulation for a Dynamic Modified Stochastic p-Median Problem in a Competitive Supply Chain Network Design," Logistics, MDPI, vol. 7(1), pages 1-24, March.
    12. Ali Ekici & Pınar Keskinocak & Julie L. Swann, 2014. "Modeling Influenza Pandemic and Planning Food Distribution," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 11-27, February.

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