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Weight Variations within a Set of Demand Points, and Location-Allocation Issues: A Case Study of Public Libraries

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  • H Beguin
  • I Thomas
  • D Vandenbussche

Abstract

The purpose in this paper is to explore the consequences of weight variations in a given set of demand points on the following p -median results: the average and maximum distance between demand and supply, the geographical pattern of supply points, and the amount allocated to every supply site. By using a real-world case study (intraurban location of public libraries), two different estimations of demand associated with the same set of demand and potential supply sites are compared. Results show only small differences in the p -median outputs in spite of rather large discrepancies in the distributions of demand weights. This invites further and systematic research about the robustness of p -median results with respect to variations in the geographical distribution of demand.

Suggested Citation

  • H Beguin & I Thomas & D Vandenbussche, 1992. "Weight Variations within a Set of Demand Points, and Location-Allocation Issues: A Case Study of Public Libraries," Environment and Planning A, , vol. 24(12), pages 1769-1779, December.
    • Handle: RePEc:sae:envira:v:24:y:1992:i:12:p:1769-1779
    DOI: 10.1068/a241769
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    References listed on IDEAS

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    1. D Richard & H Beguin & D Peeters, 1990. "The Location of Fire Stations in a Rural Environment: A Case Study," Environment and Planning A, , vol. 22(1), pages 39-52, January.
    2. Hanjoul, Pierre & Peeters, Dominique, 1985. "A comparison of two dual-based procedures for solving the p-median problem," European Journal of Operational Research, Elsevier, vol. 20(3), pages 387-396, June.
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    Cited by:

    1. Chevalier, Philippe & Thomas, Isabelle & Geraets, David & Goetghebeur, Els & Janssens, Olivier & Peeters, Dominique & Plastria, Frank, 2012. "Locating fire stations: An integrated approach for Belgium," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 173-182.
    2. M Birkin & M Clarke & F George, 1995. "The Use of Parallel Computers to Solve Nonlinear Spatial Optimisation Problems: An Application to Network Planning," Environment and Planning A, , vol. 27(7), pages 1049-1068, July.

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