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A lattice covering model for evaluating existing service facilities

Author

Listed:
  • Morton O’Kelly
  • Alan Murray

Abstract

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

Suggested Citation

  • Morton O’Kelly & Alan Murray, 2004. "A lattice covering model for evaluating existing service facilities," Papers in Regional Science, Springer;Regional Science Association International, vol. 83(3), pages 565-580, July.
    • Handle: RePEc:spr:presci:v:83:y:2004:i:3:p:565-580
    DOI: 10.1007/s10110-004-0212-4
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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.
    2. Jiwon Baik & Alan T. Murray, 2022. "Locating a facility to simultaneously address access and coverage goals," Papers in Regional Science, Wiley Blackwell, vol. 101(5), pages 1199-1217, October.
    3. Farahani, Reza Zanjirani & Fallah, Samira & Ruiz, Rubén & Hosseini, Sara & Asgari, Nasrin, 2019. "OR models in urban service facility location: A critical review of applications and future developments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 1-27.

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