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Gradual location set covering with service quality

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  • Eiselt, H.A.
  • Marianov, Vladimir

Abstract

Location set covering models were first described in the early 1970s. In their simplest form, they minimize the number of facilities necessary to completely cover a set of customers in some given space, where covering means providing service within a predetermined distance. This paper considers extensions of the basic model that soften the covered/not covered dichotomy and replace it with gradual covering. The models discussed in this work include the quality of service as a criterion. The models are formulated and compared with each other with respect to their size and features. A small series of computational tests concludes the paper.

Suggested Citation

  • Eiselt, H.A. & Marianov, Vladimir, 2009. "Gradual location set covering with service quality," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 121-130, June.
    • Handle: RePEc:eee:soceps:v:43:y:2009:i:2:p:121-130
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    References listed on IDEAS

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    Cited by:

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    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. Tammy Drezner & Zvi Drezner, 2019. "Cooperative Cover of Uniform Demand," Networks and Spatial Economics, Springer, vol. 19(3), pages 819-831, September.
    4. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2021. "Directional approach to gradual cover: the continuous case," Computational Management Science, Springer, vol. 18(1), pages 25-47, January.
    5. Karatas, Mumtaz & Eriskin, Levent, 2023. "Linear and piecewise linear formulations for a hierarchical facility location and sizing problem," Omega, Elsevier, vol. 118(C).
    6. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2020. "Gradual cover competitive facility location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 333-354, June.
    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.
    8. Karatas, Mumtaz, 2017. "A multi-objective facility location problem in the presence of variable gradual coverage performance and cooperative cover," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1040-1051.
    9. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 281-310, December.
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    11. Ibarra-Rojas, O.J. & Ozuna, L. & López-Piñón, D., 2020. "The maximal covering location problem with accessibility indicators," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    12. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray, 2011. "Market Coverage and Service Quality in Digital Subscriber Lines Infrastructure Planning," International Regional Science Review, , vol. 34(3), pages 368-390, July.
    13. Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    14. Xiang Zhao & Xiaoya Ma & Kun Wang & Yuqing Long & Dongjie Zhang & Zhanchun Xiao, 2017. "A Spatially Explicit Optimization Model for Agricultural Straw-Based Power Plant Site Selection: A Case Study in Hubei Province, China," Sustainability, MDPI, vol. 9(5), pages 1-19, May.
    15. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2019. "A directional approach to gradual cover," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 70-93, April.
    16. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2020. "Directional approach to gradual cover: a maximin objective," Computational Management Science, Springer, vol. 17(1), pages 121-139, January.
    17. Burkey, M.L. & Bhadury, J. & Eiselt, H.A., 2012. "A location-based comparison of health care services in four U.S. states with efficiency and equity," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 157-163.
    18. Bashiri, Mahdi & Chehrepak, Elaheh & Gomari, Saeed, 2014. "Gradual Covering Location Problem with Stochastic Radius," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Blecker, Thorsten & Kersten, Wolfgang & Ringle, Christian M. (ed.), Innovative Methods in Logistics and Supply Chain Management: Current Issues and Emerging Practices. Proceedings of the Hamburg International Conferenc, volume 19, pages 165-186, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.

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