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An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem

Author

Listed:
  • Umit Akinc

    (Middle East Technical University, Ankara)

  • Basheer M. Khumawala

    (University of North Carolina)

Abstract

This paper describes an efficient solution procedure for the warehouse location problem in which limitations on the amount of goods which can be handled are also imposed. The proposed branch-and-bound solution method is made efficient by developing dominance, lower and upper bounding procedures and branch and node selection rules utilizing the special structure of this problem. Computational results are provided for large sized problems.

Suggested Citation

  • Umit Akinc & Basheer M. Khumawala, 1977. "An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem," Management Science, INFORMS, vol. 23(6), pages 585-594, February.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:6:p:585-594
    DOI: 10.1287/mnsc.23.6.585
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    Cited by:

    1. Tsouros, C. & Satratzemi, M., 1996. "Optimal solution of a total time distribution problem," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 473-478, August.
    2. 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.
    3. P J Densham & G Rushton, 1996. "Providing Spatial Decision Support for Rural Public Service Facilities That Require a Minimum Workload," Environment and Planning B, , vol. 23(5), pages 553-574, October.
    4. 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.
    5. Melkote, Sanjay & Daskin, Mark S., 2001. "Capacitated facility location/network design problems," European Journal of Operational Research, Elsevier, vol. 129(3), pages 481-495, March.
    6. Sharma, R.R.K. & Berry, V., 2007. "Developing new formulations and relaxations of single stage capacitated warehouse location problem (SSCWLP): Empirical investigation for assessing relative strengths and computational effort," European Journal of Operational Research, Elsevier, vol. 177(2), pages 803-812, March.
    7. Joseph B. Mazzola & Robert H. Schantz, 1997. "Multiple‐facility loading under capacity‐based economies of scope," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 229-256, April.
    8. Klose, Andreas, 2000. "A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 126(2), pages 408-421, October.
    9. Calvete, Herminia I. & Galé, Carmen & Iranzo, José A., 2014. "Planning of a decentralized distribution network using bilevel optimization," Omega, Elsevier, vol. 49(C), pages 30-41.
    10. Ghadimi, Foad & Aouam, Tarik, 2021. "Planning capacity and safety stocks in a serial production–distribution system with multiple products," European Journal of Operational Research, Elsevier, vol. 289(2), pages 533-552.
    11. Emelogu, Adindu & Chowdhury, Sudipta & Marufuzzaman, Mohammad & Bian, Linkan & Eksioglu, Burak, 2016. "An enhanced sample average approximation method for stochastic optimization," International Journal of Production Economics, Elsevier, vol. 182(C), pages 230-252.
    12. Leyla Ozsen & Mark S. Daskin & Collette R. Coullard, 2009. "Facility Location Modeling and Inventory Management with Multisourcing," Transportation Science, INFORMS, vol. 43(4), pages 455-472, November.
    13. Minghe Sun & Zhen-Yu Chen & Zhi-Ping Fan, 2014. "A Multi-task Multi-kernel Transfer Learning Method for Customer Response Modeling in Social Media," Working Papers 0161mss, College of Business, University of Texas at San Antonio.
    14. Fathali Firoozi, 2008. "Boundary Distributions in Testing Inequality Hypotheses," Working Papers 0046, College of Business, University of Texas at San Antonio.
    15. Ramesh Bollapragada & Uday S. Rao & Junying Wu, 2023. "Hub location–allocation for combined fixed-wireless and wireline broadband access networks," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 50(1), pages 115-128, March.
    16. James F. Campbell, 1992. "Location‐allocation for distribution to a uniform demand with transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 635-649, August.
    17. Marin, Alfredo & Pelegrin, Blas, 1998. "The return plant location problem: Modelling and resolution," European Journal of Operational Research, Elsevier, vol. 104(2), pages 375-392, January.
    18. Dasci, Abdullah & Verter, Vedat, 2001. "A continuous model for production-distribution system design," European Journal of Operational Research, Elsevier, vol. 129(2), pages 287-298, March.
    19. Erenguc, S. Selcuk & Simpson, N. C. & Vakharia, Asoo J., 1999. "Integrated production/distribution planning in supply chains: An invited review," European Journal of Operational Research, Elsevier, vol. 115(2), pages 219-236, June.
    20. Leyla Ozsen & Collette R. Coullard & Mark S. Daskin, 2008. "Capacitated warehouse location model with risk pooling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 295-312, June.
    21. D Gade & E A Pohl, 2009. "Sample average approximation applied to the capacitated-facilities location problem with unreliable facilities," Journal of Risk and Reliability, , vol. 223(4), pages 259-269, December.
    22. Klaus Büdenbender & Tore Grünert & Hans-Jürgen Sebastian, 2000. "A Hybrid Tabu Search/Branch-and-Bound Algorithm for the Direct Flight Network Design Problem," Transportation Science, INFORMS, vol. 34(4), pages 364-380, November.
    23. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
    24. Minghe Sun, 2008. "A Tabu Search Heuristic Procedure for the Capacitated Facility Location Problem," Working Papers 0050, College of Business, University of Texas at San Antonio.

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