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Maximising coverage of spatial demand for service

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  • Daoqin Tong
  • Alan T. Murray
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    Abstract

    How to represent geographic space has long been an issue in location modelling. Facilities, demand and/or the region of interest are often abstracted using aggregated points. However, substantial errors can be introduced, and obtained solutions could be dependent on the degree of aggregation. To address this, geographic representation of space is undergoing renewed research interest in spatial analysis and modelling. In this article the maximal coverage problem is studied, with a particular focus on demand coverage representation. Due to the limitations of existing modelling approaches for examining the coverage of space, there exist significant discrepancies between what is modelled and actual geographic coverage. In order to accurately reflect the mechanism of maximal coverage for spatial objects (points, lines or polygons), we introduce a new model explicitly accounting for joint service provided by multiple facilities. The new model can be viewed as an extension of existing approaches, but also a generalisation. An application to warning siren siting is carried out to demonstrate the merits of this new approach. Copyright (c) 2008 the author(s). Journal compilation (c) 2008 RSAI.

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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1435-5957.2008.00168.x
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    Bibliographic Info

    Article provided by Wiley Blackwell in its journal Papers in Regional Science.

    Volume (Year): 88 (2009)
    Issue (Month): 1 (03)
    Pages: 85-97

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    Handle: RePEc:bla:presci:v:88:y:2009:i:1:p:85-97

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    Web page: http://www.blackwellpublishing.com/journal.asp?ref=1056-8190

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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. Murray, Alan T. & Wei, Ran, 2013. "A computational approach for eliminating error in the solution of the location set covering problem," European Journal of Operational Research, Elsevier, vol. 224(1), pages 52-64.

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