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Dynamic Location-Allocation Systems: Some Basic Planning Strategies

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  • A J Scott

    (Department of Geography, University of Toronto, Canada)

Abstract

The general location-allocation problem is defined. Then various generalizations of the problem are indicated. The dynamic extension of the location-allocation problem is shown to be of especial interest and significance. Two major approaches to the formulation and analysis of this dynamic problem are discussed. The first approach makes no attempt to anticipate future events and thus leads over the long-run to sub-optimal solutions. The second approach attempts fully to anticipate the future, and is formalized as a dynamic program. This second approach guarantees full optimality over the range of definition of the problem. Some numerical examples are presented.

Suggested Citation

  • A J Scott, 1971. "Dynamic Location-Allocation Systems: Some Basic Planning Strategies," Environment and Planning A, , vol. 3(1), pages 73-82, March.
    • Handle: RePEc:sae:envira:v:3:y:1971:i:1:p:73-82
    DOI: 10.1068/a030073
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    References listed on IDEAS

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    1. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
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    Cited by:

    1. 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.
    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. 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.
    4. 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.
    5. M. Fattahi & M. Mahootchi & S. M. Moattar Husseini, 2016. "Integrated strategic and tactical supply chain planning with price-sensitive demands," Annals of Operations Research, Springer, vol. 242(2), pages 423-456, July.
    6. 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.
    7. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 281-310, December.
    8. A Başar & B Çatay & T Ünlüyurt, 2011. "A multi-period double coverage approach for locating the emergency medical service stations in Istanbul," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 627-637, April.
    9. W G Truscott, 1981. "Modelling the Dynamic Effects of Multiperiod Allocation Decisions," Environment and Planning A, , vol. 13(7), pages 809-818, July.
    10. Thanh, Phuong Nga & Bostel, Nathalie & Péton, Olivier, 2008. "A dynamic model for facility location in the design of complex supply chains," International Journal of Production Economics, Elsevier, vol. 113(2), pages 678-693, June.
    11. Su, Qiang & Luo, Qinyi & Huang, Samuel H., 2015. "Cost-effective analyses for emergency medical services deployment: A case study in Shanghai," International Journal of Production Economics, Elsevier, vol. 163(C), pages 112-123.
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