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An Efficient Branch and Bound Algorithm for the Warehouse Location Problem

Author

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  • Basheer M. Khumawala

    (University of North Carolina, Chapel Hill)

Abstract

This paper introduces an efficient branch and bound algorithm for a special class of mixed integer programming problems called the warehouse location problem. A set of branching decision rules is proposed for selecting warehouses to be constrained open and closed from any node of the branch and bound tree. These rules are tested for their efficiency in reducing computation times and storage requirements to reach optimal solutions. An improved method of solving the linear programming problems at the nodes which substantially reduces the computations is also introduced in this paper.

Suggested Citation

  • Basheer M. Khumawala, 1972. "An Efficient Branch and Bound Algorithm for the Warehouse Location Problem," Management Science, INFORMS, vol. 18(12), pages 718-731, August.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:12:p:b718-b731
    DOI: 10.1287/mnsc.18.12.B718
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    Cited by:

    1. Kurt Jörnsten & Andreas Klose, 2016. "An improved Lagrangian relaxation and dual ascent approach to facility location problems," Computational Management Science, Springer, vol. 13(3), pages 317-348, July.
    2. Drexl, Andreas & Klose, Andreas, 2001. "Facility location models for distribution system design," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 546, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Li‐Lian Gao & E. Powell Robinson, 1992. "A dual‐based optimization procedure for the two‐echelon uncapacitated facility location problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 191-212, March.
    4. Yupeng Zhou & Jinshu Li & Yang Liu & Shuai Lv & Yong Lai & Jianan Wang, 2020. "Improved Memetic Algorithm for Solving the Minimum Weight Vertex Independent Dominating Set," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    5. Pierre Hansen & Jack Brimberg & Dragan Urošević & Nenad Mladenović, 2007. "Primal-Dual Variable Neighborhood Search for the Simple Plant-Location Problem," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 552-564, November.
    6. Gwo-Hshiung Tzeng, 1985. "Coal Transportation System Modeling: The Case of Taiwan," The Energy Journal, , vol. 6(1), pages 145-156, January.
    7. Min, Hokey & Melachrinoudis, Emanuel, 1999. "The relocation of a hybrid manufacturing/distribution facility from supply chain perspectives: a case study," Omega, Elsevier, vol. 27(1), pages 75-85, February.
    8. García Cáceres, Rafael Guillermo & Aráoz Durand, Julián Arturo & Gómez, Fernando Palacios, 2009. "Integral analysis method - IAM," European Journal of Operational Research, Elsevier, vol. 192(3), pages 891-903, February.
    9. Bader F. AlBdaiwi & Diptesh Ghosh & Boris Goldengorin, 2011. "Data aggregation for p-median problems," Journal of Combinatorial Optimization, Springer, vol. 21(3), pages 348-363, April.
    10. ReVelle, C.S. & Eiselt, H.A. & Daskin, M.S., 2008. "A bibliography for some fundamental problem categories in discrete location science," European Journal of Operational Research, Elsevier, vol. 184(3), pages 817-848, February.
    11. Marianov, Vladimir & Eiselt, H.A., 2024. "Fifty Years of Location Theory - A Selective Review," European Journal of Operational Research, Elsevier, vol. 318(3), pages 701-718.
    12. Lo, Shirleen Lee Yuen & How, Bing Shen & Leong, Wei Dong & Teng, Sin Yong & Rhamdhani, Muhammad Akbar & Sunarso, Jaka, 2021. "Techno-economic analysis for biomass supply chain: A state-of-the-art review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    13. King, Richard A. & Dahlgran, Roger A. & McDermed, Ann A. & McPeters, David L., 1979. "Evaluation Of Alternative Plant Locations," Department of Economics and Business - Archive 259632, North Carolina State University, Department of Economics.
    14. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
    15. Mazzola, Joseph B. & Neebe, Alan W., 1999. "Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type," European Journal of Operational Research, Elsevier, vol. 115(2), pages 285-299, June.
    16. B Goldengorin & J Keane & V Kuzmenko & M K-S Tso, 2011. "Optimal supplier choice with discounting," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 690-699, April.
    17. Melachrinoudis, Emanuel & Min, Hokey, 2000. "The dynamic relocation and phase-out of a hybrid, two-echelon plant/warehousing facility: A multiple objective approach," European Journal of Operational Research, Elsevier, vol. 123(1), pages 1-15, May.
    18. R A Whitaker, 1982. "Some Interchange Algorithms for Median Location Problems," Environment and Planning B, , vol. 9(2), pages 119-129, June.
    19. R A Whitaker, 1981. "A Tight Bound Drop Exchange Algorithm for Solving the p Median Problem," Environment and Planning A, , vol. 13(6), pages 669-680, June.
    20. Canel, Cem & Khumawala, Basheer M. & Law, Japhet S., 1996. "An efficient heuristic procedure for the single-item, discrete lot sizing problem," International Journal of Production Economics, Elsevier, vol. 43(2-3), pages 139-148, June.
    21. Mohammad Ehsanifar & David A. Wood & Arezoo Babaie, 2021. "UTASTAR method and its application in multi-criteria warehouse location selection," Operations Management Research, Springer, vol. 14(1), pages 202-215, June.
    22. Melachrinoudis, Emanuel & Min, Hokey, 2007. "Redesigning a warehouse network," European Journal of Operational Research, Elsevier, vol. 176(1), pages 210-229, January.
    23. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
    24. Liming Yao & Zhongwen Xu & Ziqiang Zeng, 2020. "A Soft‐Path Solution to Risk Reduction by Modeling Medical Waste Disposal Center Location‐Allocation Optimization," Risk Analysis, John Wiley & Sons, vol. 40(9), pages 1863-1886, September.

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