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A lattice covering model for evaluating existing service facilities


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  • Morton O’Kelly


  • Alan Murray


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    This article presents the following location problem: align a regularly spaced grid of new facilities as well as possible with a set of existing centres. The problem has some similarity to a problem in classical central place theory, namely the spatial arrangement of services with a particular range of coverage. The article poses the problem, gives a non-linear formulation, and details solution approaches. A robust heuristic, based on geometric insights, is also devised: if the basis for the new grid is centred on at least one fixed centre, an enumeration of various rotation angles will be effective for finding local minima (and maxima). As a practical application of this problem, a region may wish to supplement an existing system of fixed siren locations with additional facilities in such a way as to fill in, or complete, the partial coverage pattern. An evaluation of the siren system in Dublin, OH, USA, is utilised to demonstrate the effectiveness of the technique. Copyright Springer-Verlag Berlin/Heidelberg 2004

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    Bibliographic Info

    Article provided by Springer in its journal Papers in Regional Science.

    Volume (Year): 83 (2004)
    Issue (Month): 3 (07)
    Pages: 565-580

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    Handle: RePEc:spr:presci:v:83:y:2004:i:3:p:565-580

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    Keywords: Obnoxious facilities; location and spatial coverage; accuracy;


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    Cited by:
    1. Matisziw, Timothy C. & Murray, Alan T., 2009. "Siting a facility in continuous space to maximize coverage of a region," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 131-139, June.


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