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A new model for maximal coverage exploiting GIS capabilities

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  • Alexandris, George
  • Giannikos, Ioannis

Abstract

The representation of demand is a key issue which can significantly affect results in several demand covering models. In this paper we concentrate on the well known Maximal Coverage Location Problem and demonstrate that alternative representations of the demand space may lead to largely fluctuating as well as misleading results which seriously overestimate the real coverage achieved by a specified number of servers. We introduce a new model based on the notion of complementary partial coverage and exploit the capabilities of Geographic Information Systems in order to better represent demand. Results of an empirical study indicate that the proposed model is less susceptible to fluctuations for alternative representations of the demand space and that it provides coverage of a larger proportion of demand than traditional models.

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  • Alexandris, George & Giannikos, Ioannis, 2010. "A new model for maximal coverage exploiting GIS capabilities," European Journal of Operational Research, Elsevier, vol. 202(2), pages 328-338, April.
    • Handle: RePEc:eee:ejores:v:202:y:2010:i:2:p:328-338
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    Cited by:

    1. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    2. Seyed Sina Mohri & Meisam Akbarzadeh, 2019. "Locating key stations of a metro network using bi-objective programming: discrete and continuous demand mode," Public Transport, Springer, vol. 11(2), pages 321-340, August.
    3. Ayfer Basar & Özgür Kabak & Y. Ilker Topcu, 2017. "A Decision Support Methodology for Locating Bank Branches: A Case Study in Turkey," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 59-86, January.
    4. 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.
    5. Hans W. Ittmann, 2020. "Lessons gained from four case studies of operations research for sustainable development in South Africa," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(4), pages 1187-1217, December.
    6. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    7. Ran Wei, 2016. "Coverage Location Models," International Regional Science Review, , vol. 39(1), pages 48-76, January.
    8. Muren, & Li, Hao & Mukhopadhyay, Samar K. & Wu, Jian-jun & Zhou, Li & Du, Zhiping, 2020. "Balanced maximal covering location problem and its application in bike-sharing," International Journal of Production Economics, Elsevier, vol. 223(C).
    9. Baray, Jérôme & Cliquet, Gérard, 2013. "Optimizing locations through a maximum covering/p-median hierarchical model: Maternity hospitals in France," Journal of Business Research, Elsevier, vol. 66(1), pages 127-132.
    10. 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.
    11. Caro Vela, María Dolores & Paralera Morales, Concepción, 2011. "Una propuesta para la localización de áreas de servicio y descanso adaptadas al transporte de mercancías peligrosas mediante un modelo de optimización; aplicación al territorio español = A Proposal fo," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 11(1), pages 17-32, June.
    12. Sadeghi, Mohammad & Yaghoubi, Saeed, 2024. "Optimization models for cloud seeding network design and operations," European Journal of Operational Research, Elsevier, vol. 312(3), pages 1146-1167.
    13. Julio A. Berdegué & Tatiana Hiller & Juan Mauricio Ramírez & Santiago Satizábal & Isidro Soloaga & Juan Soto & Miguel Uribe & Olga Vargas, 2019. "Delineating functional territories from outer space," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 28(1), pages 1-24, December.
    14. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    15. 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.

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