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Gradual location set covering with service quality

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  • Eiselt, H.A.
  • Marianov, Vladimir
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    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.

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    File URL: http://www.sciencedirect.com/science/article/B6V6Y-4SRW15D-1/2/7a7deaab90002e4bbd8f4cb5a45e30fe
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    Bibliographic Info

    Article provided by Elsevier in its journal Socio-Economic Planning Sciences.

    Volume (Year): 43 (2009)
    Issue (Month): 2 (June)
    Pages: 121-130

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    Handle: RePEc:eee:soceps:v:43:y:2009:i:2:p:121-130

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    Web page: http://www.elsevier.com/locate/seps

    Related research

    Keywords: Location models Covering models Location set covering Gradual covering Quality of service;

    References

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    1. Berlin, Geoffrey N. & Liebman, Jon C., 1974. "Mathematical analysis of emergency ambulance location," Socio-Economic Planning Sciences, Elsevier, Elsevier, vol. 8(6), pages 323-328, December.
    2. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    3. Chang, Ching-Ter, 2001. "On the polynomial mixed 0-1 fractional programming problems," European Journal of Operational Research, Elsevier, vol. 131(1), pages 224-227, May.
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    Cited by:
    1. 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, Elsevier, vol. 48(2), pages 158-167.
    2. CHEVALIER, Philippe & THOMAS, Isabelle & GERAETS, David & GOETGHEBEUR, Els, . "Locating fire stations: an integrated approach for Belgium," CORE Discussion Papers RP -2390, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. 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, Elsevier, vol. 46(2), pages 157-163.
    4. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Computational Statistics, Springer, vol. 74(3), pages 281-310, December.

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