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An Efficient Algorithm for Solving the Rectilinear Location-Allocation Problem

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  • G Babich

    (Department of Economic Statistics, University of Sydney, Sydney, NSW, Australia 2006)

Abstract

The rectilinear location-allocation problem may be solved analytically using familiar programming methods. However, the computational demands imposed by these techniques are often prohibitive. Cooper's Elimination—Alternate-Correction-Heuristic is modified to handle rectilinear distances. The algorithm seems to perform satisfactorily and is applied to the problem of locating fire-fighting appliances.

Suggested Citation

  • G Babich, 1978. "An Efficient Algorithm for Solving the Rectilinear Location-Allocation Problem," Environment and Planning A, , vol. 10(12), pages 1387-1395, December.
    • Handle: RePEc:sae:envira:v:10:y:1978:i:12:p:1387-1395
    DOI: 10.1068/a101387
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    References listed on IDEAS

    as
    1. George O. Wesolowsky, 1972. "Rectangular Distance Location under the Minimax Optimality Criterion," Transportation Science, INFORMS, vol. 6(2), pages 103-113, May.
    2. G. O. Wesolowsky & R. F. Love, 1971. "Location of facilities with rectangular distances among point and area destinations," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 18(1), pages 83-90, March.
    3. G. O. Wesolowsky & R. F. Love, 1971. "Technical Note—The Optimal Location of New Facilities Using Rectangular Distances," Operations Research, INFORMS, vol. 19(1), pages 124-130, February.
    4. G. O. Wesolowsky & R. F. Love, 1972. "A Nonlinear Approximation Method for Solving a Generalized Rectangular Distance Weber Problem," Management Science, INFORMS, vol. 18(11), pages 656-663, July.
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