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The Multi-Story Space Assignment Problem

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  • Peter Hahn
  • J. MacGregor Smith
  • Yi-Rong Zhu

Abstract

The Multi-Story Space Assignment Problem (MSAP) is an innovative formulation of the multi-story facility assignment problem that allows one to model the location of departments of unequal size within multi-story facilities as a Generalized Quadratic 3-dimensional Assignment Problem (GQ3AP). Not only can the MSAP generate the design of the location of the departments in the facility, the MSAP also includes the evacuation planning for the facility. The formulation, background mathematical development, and computational experience with a branch and bound algorithm for the MSAP are also presented. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Peter Hahn & J. MacGregor Smith & Yi-Rong Zhu, 2010. "The Multi-Story Space Assignment Problem," Annals of Operations Research, Springer, vol. 179(1), pages 77-103, September.
    • Handle: RePEc:spr:annopr:v:179:y:2010:i:1:p:77-103:10.1007/s10479-008-0474-3
    DOI: 10.1007/s10479-008-0474-3
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    References listed on IDEAS

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    1. Adams, Warren P. & Guignard, Monique & Hahn, Peter M. & Hightower, William L., 2007. "A level-2 reformulation-linearization technique bound for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 983-996, August.
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    6. Hahn, Peter M. & Kim, Bum-Jin & Stutzle, Thomas & Kanthak, Sebastian & Hightower, William L. & Samra, Harvind & Ding, Zhi & Guignard, Monique, 2008. "The quadratic three-dimensional assignment problem: Exact and approximate solution methods," European Journal of Operational Research, Elsevier, vol. 184(2), pages 416-428, January.
    7. Li, Wu-Ji & Smith, J. MacGregor, 1995. "An algorithm for Quadratic Assignment Problems," European Journal of Operational Research, Elsevier, vol. 81(1), pages 205-216, February.
    8. Warren P. Adams & Hanif D. Sherali, 1990. "Linearization Strategies for a Class of Zero-One Mixed Integer Programming Problems," Operations Research, INFORMS, vol. 38(2), pages 217-226, April.
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    11. Connolly, David T., 1990. "An improved annealing scheme for the QAP," European Journal of Operational Research, Elsevier, vol. 46(1), pages 93-100, May.
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    Cited by:

    1. Anjos, Miguel F. & Vieira, Manuel V.C., 2017. "Mathematical optimization approaches for facility layout problems: The state-of-the-art and future research directions," European Journal of Operational Research, Elsevier, vol. 261(1), pages 1-16.
    2. Stefan Helber & Daniel Böhme & Farid Oucherif & Svenja Lagershausen & Steffen Kasper, 2016. "A hierarchical facility layout planning approach for large and complex hospitals," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 5-29, June.
    3. Jean-Paul Arnaout, 2018. "Worm optimization for the multiple level warehouse layout problem," Annals of Operations Research, Springer, vol. 269(1), pages 29-51, October.
    4. Silva, Allyson & Coelho, Leandro C. & Darvish, Maryam, 2021. "Quadratic assignment problem variants: A survey and an effective parallel memetic iterated tabu search," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1066-1084.

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