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Enhancing Spatial Representation In Primary And Secondary Coverage Location Modeling

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  • Kamyoung Kim
  • Alan T. Murray

Abstract

ABSTRACT An important goal in many planning contexts is maximizing primary and secondary (or backup) coverage while locating a specified number of service facilities. In general, we are interested in providing the greatest level of coverage to demand that is continuously distributed across space. A critical issue is how to represent continuous demand in coverage analysis, reducing or eliminating error and uncertainty. This paper evaluates representation issues in primary and secondary coverage location modeling. To overcome representational limitations, enhancements for spatial coverage abstraction are introduced and incorporated in a mathematical optimization model. In addition to model improvements, this paper introduces a new and novel error assessment approach arising due to the existence of multiple objectives. Surveillance sensor siting in an urban area is utilized to assess enhanced modeling capabilities.

Suggested Citation

  • Kamyoung Kim & Alan T. Murray, 2008. "Enhancing Spatial Representation In Primary And Secondary Coverage Location Modeling," Journal of Regional Science, Wiley Blackwell, vol. 48(4), pages 745-768, October.
    • Handle: RePEc:bla:jregsc:v:48:y:2008:i:4:p:745-768
    DOI: 10.1111/j.1467-9787.2008.00575.x
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    References listed on IDEAS

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    1. H. Emir-Farinas & R. Francis, 2005. "Demand Point Aggregation for Planar Covering Location Models," Annals of Operations Research, Springer, vol. 136(1), pages 175-192, April.
    2. Kathleen Hogan & Charles ReVelle, 1986. "Concepts and Applications of Backup Coverage," Management Science, INFORMS, vol. 32(11), pages 1434-1444, November.
    3. Mark S. Daskin & Edmund H. Stern, 1981. "A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment," Transportation Science, INFORMS, vol. 15(2), pages 137-152, May.
    4. Hamaide, Bertrand & ReVelle, Charles S. & Malcolm, Scott A., 2006. "Biological reserves, rare species and the trade-off between species abundance and species diversity," Ecological Economics, Elsevier, vol. 56(4), pages 570-583, April.
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    Cited by:

    1. Amin Akbari & Ronald Pelot & H. A. Eiselt, 2018. "A modular capacitated multi-objective model for locating maritime search and rescue vessels," Annals of Operations Research, Springer, vol. 267(1), pages 3-28, August.
    2. Murray, Alan T. & Feng, Xin, 2016. "Public street lighting service standard assessment and achievement," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 14-22.
    3. Alan T. Murray & Daoqin Tong & Kamyoung Kim, 2010. "Enhancing Classic Coverage Location Models," International Regional Science Review, , vol. 33(2), pages 115-133, April.
    4. Alan Murray, 2010. "Advances in location modeling: GIS linkages and contributions," Journal of Geographical Systems, Springer, vol. 12(3), pages 335-354, September.
    5. 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.
    6. Sam Ratick & Jeffrey Osleeb & Kangping Si, 2016. "The Maximal Cover Location Model with Hedging," International Regional Science Review, , vol. 39(1), pages 77-107, January.
    7. Hamaide, Bertrand & Albers, Heidi J. & Busby, Gwenlyn, 2014. "Backup coverage models in nature reserve site selection with spatial spread risk heterogeneity," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 158-167.

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