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Gradual location set covering with service quality

Author

Listed:
  • 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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    1. 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.
    2. Berlin, Geoffrey N. & Liebman, Jon C., 1974. "Mathematical analysis of emergency ambulance location," Socio-Economic Planning Sciences, Elsevier, vol. 8(6), pages 323-328, December.
    3. 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.
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    Citations

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    Cited by:

    1. repec:eee:transe:v:119:y:2018:i:c:p:110-128 is not listed on IDEAS
    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. repec:kap:netspa:v:19:y:2019:i:3:d:10.1007_s11067-018-9429-7 is not listed on IDEAS
    4. 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.
    5. repec:eee:ejores:v:262:y:2017:i:3:p:1040-1051 is not listed on IDEAS
    6. 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.
    7. repec:spr:compst:v:74:y:2011:i:3:p:281-310 is not listed on IDEAS
    8. Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    9. repec:gam:jsusta:v:9:y:2017:i:5:p:832-:d:98795 is not listed on IDEAS
    10. repec:spr:topjnl:v:27:y:2019:i:1:d:10.1007_s11750-018-00493-y is not listed on IDEAS
    11. 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.

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