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A Conceptual Framework for Dynamic Location—Allocation Analysis

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  • E S Sheppard

    (University of Toronto, Department of Geography, Toronto, Ontario, Canada)

Abstract

To date, much of the work published on the problems of plant construction has been restricted to either determining the timing of the building, or forming static location—allocation models, with little attempt to combine the spatial and temporal aspects into one solution. By construction of a taxonomic tree, this paper demonstrates that the capacity expansion and the location—allocation solutions are just the simplest instances of a whole class of models. Formulation of these various possibilities is undertaken and it is shown that a fully integrated spatio—temporal plant-construction model can be derived, at least at the theoretical level. Although the derivations are in the form of deterministic programming models, the concluding section of the paper suggests possible ways in which these might be reformulated to allow for the fact that most planning takes place in an uncertain environment.

Suggested Citation

  • E S Sheppard, 1974. "A Conceptual Framework for Dynamic Location—Allocation Analysis," Environment and Planning A, , vol. 6(5), pages 547-564, October.
    • Handle: RePEc:sae:envira:v:6:y:1974:i:5:p:547-564
    DOI: 10.1068/a060547
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper & G. H. Symonds, 1958. "Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil," Management Science, INFORMS, vol. 4(3), pages 235-263, April.
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    Cited by:

    1. Jia Shu & Qiang Ma & Sijie Li, 2010. "Integrated location and two-echelon inventory network design under uncertainty," Annals of Operations Research, Springer, vol. 181(1), pages 233-247, December.
    2. 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.
    3. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
    4. Loree, Nick & Aros-Vera, Felipe, 2018. "Points of distribution location and inventory management model for Post-Disaster Humanitarian Logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 1-24.
    5. Mohammad Fattahi & Kannan Govindan, 2017. "Integrated forward/reverse logistics network design under uncertainty with pricing for collection of used products," Annals of Operations Research, Springer, vol. 253(1), pages 193-225, June.
    6. Yang, Zhongzhen & Yu, Shunan & Notteboom, Theo, 2016. "Airport location in multiple airport regions (MARs): The role of land and airside accessibility," Journal of Transport Geography, Elsevier, vol. 52(C), pages 98-110.
    7. Barbara Anthony & Vineet Goyal & Anupam Gupta & Viswanath Nagarajan, 2010. "A Plant Location Guide for the Unsure: Approximation Algorithms for Min-Max Location Problems," Mathematics of Operations Research, INFORMS, vol. 35(1), pages 79-101, February.

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