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Maximising coverage of spatial demand for service

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  • Daoqin Tong
  • Alan T. Murray

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.

Suggested Citation

  • Daoqin Tong & Alan T. Murray, 2009. "Maximising coverage of spatial demand for service," Papers in Regional Science, Wiley Blackwell, vol. 88(1), pages 85-97, March.
    • Handle: RePEc:bla:presci:v:88:y:2009:i:1:p:85-97
    DOI: 10.1111/j.1435-5957.2008.00168.x
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    References listed on IDEAS

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    1. Bilal Farhan & Alan Murray, 2006. "Distance decay and coverage in facility location planning," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 40(2), pages 279-295, June.
    2. Carrizosa, E. & Munoz-Marquez, M. & Puerto, J., 1998. "The Weber problem with regional demand," European Journal of Operational Research, Elsevier, vol. 104(2), pages 358-365, January.
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    5. Alan T. Murray & Morton E. O'Kelly, 2002. "Assessing representation error in point-based coverage modeling," Journal of Geographical Systems, Springer, vol. 4(2), pages 171-191, June.
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    Cited by:

    1. 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.
    2. 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.
    3. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    4. Manish Bansal & Kiavash Kianfar, 2017. "Planar Maximum Coverage Location Problem with Partial Coverage and Rectangular Demand and Service Zones," INFORMS Journal on Computing, INFORMS, vol. 29(1), pages 152-169, February.
    5. Hammad, Ahmed W A & Akbarnezhad, Ali & Rey, David, 2017. "Sustainable urban facility location: Minimising noise pollution and network congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 38-59.
    6. 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.
    7. Luke Shillington & Daoqin Tong, 2011. "Maximizing Wireless Mesh Network Coverage," International Regional Science Review, , vol. 34(4), pages 419-437, October.
    8. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    9. Ran Wei & Alan Murray & Rajan Batta, 2014. "A bounding-based solution approach for the continuous arc covering problem," Journal of Geographical Systems, Springer, vol. 16(2), pages 161-182, April.
    10. Ran Wei, 2016. "Coverage Location Models," International Regional Science Review, , vol. 39(1), pages 48-76, January.
    11. Alan T. Murray & Daoqin Tong & Kamyoung Kim, 2010. "Enhancing Classic Coverage Location Models," International Regional Science Review, , vol. 33(2), pages 115-133, April.
    12. 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.
    13. Karatas, Mumtaz & Eriskin, Levent, 2023. "Linear and piecewise linear formulations for a hierarchical facility location and sizing problem," Omega, Elsevier, vol. 118(C).
    14. Huanfa Chen & Alan T. Murray & Rui Jiang, 2021. "Open-source approaches for location cover models: capabilities and efficiency," Journal of Geographical Systems, Springer, vol. 23(3), pages 361-380, July.

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