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Capacitated covering models

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  • J R Current
  • J E Storbeck

Abstract

Because of their widespread applicability, the set covering location problem and the maximal covering location problem have received considerable attention in the facility-location literature. There have been many extensions and modifications to these problems as they have been applied to various planning scenarios. A basic underlying assumption of the location-covering models formulated to date is that the facilities being sited are uncapacitated. Although this assumption is valid in many location-planning settings, there certainly exist situations in which this assumption severely limits the application of covering models. Capacitated versions of the set covering location problem and the maximal covering location problem have thus been formulated. In addition, the theoretical links between these models and the capacitated plant location problem, the capacitated p -median problem and, the generalized assignment problem are shown. By exploiting these links, planners can solve small and moderately sized real-world problems with existing solution methods. It is expected that these theoretical links will also give insight into developing new heuristics for large-sized capacitated covering problems.

Suggested Citation

  • J R Current & J E Storbeck, 1988. "Capacitated covering models," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 15(2), pages 153-163, March.
  • Handle: RePEc:pio:envirb:v:15:y:1988:i:2:p:153-163
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    1. repec:eee:transe:v:106:y:2017:i:c:p:60-77 is not listed on IDEAS
    2. Jayaraman, Vaidyanathan & Gupta, Rakesh & Pirkul, Hasan, 2003. "Selecting hierarchical facilities in a service-operations environment," European Journal of Operational Research, Elsevier, vol. 147(3), pages 613-628, June.
    3. Sorensen, Paul & Church, Richard, 2010. "Integrating expected coverage and local reliability for emergency medical services location problems," Socio-Economic Planning Sciences, Elsevier, vol. 44(1), pages 8-18, March.
    4. Carreras, Miquel & Serra, Daniel, 1999. "On optimal location with threshold requirements," Socio-Economic Planning Sciences, Elsevier, vol. 33(2), pages 91-103, June.
    5. Zaki, Ahmed S. & Cheng, Hsing Kenneth & Parker, Barnett R., 1997. "A Simulation Model for the Analysis and Management of An Emergency Service System," Socio-Economic Planning Sciences, Elsevier, vol. 31(3), pages 173-189, September.
    6. Bapna, Ravi & Thakur, Lakshman S. & Nair, Suresh K., 2002. "Infrastructure development for conversion to environmentally friendly fuel," European Journal of Operational Research, Elsevier, vol. 142(3), pages 480-496, November.
    7. Daniel Serra & Charles Revelle & Ken Rosing, 1999. "Surviving in a competitive spatial market: The threshold capture model," Economics Working Papers 359, Department of Economics and Business, Universitat Pompeu Fabra.

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