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The Coherent Covering Location Problem

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  • Daniel Serra

Abstract

ABSTRACT In a location‐allocation system, it is necessary to obtain not only an efficient set of facility locations, but also an efficient relationship among the catchment areas. This is especially important in services that are hierarchical in nature and where there is a strung relationship between the different levels. In seeking an effective relation among the different levels, all the areas assigned to a particular facility at one hierarchical level should belong to one and the same district in the next level. This property leads to a “coherent” districting structure. In this paper the concept of coherence is introduced within a network location covering framework: the Coherent Covering Location Problem locates two hierarchical facility levels by maximizing the coverage while ensuring coherence. Adaptations of the model to different location patterns and computational experience are provided.

Suggested Citation

  • Daniel Serra, 1996. "The Coherent Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 75(1), pages 79-101, January.
    • Handle: RePEc:bla:presci:v:75:y:1996:i:1:p:79-101
    DOI: 10.1111/j.1435-5597.1996.tb00655.x
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    1. Shyamadas Banerji & H. Benjamin Fisher, 1974. "Hierarchical Location Analysis For Integrated Area Planning In Rural Areas," Papers in Regional Science, Wiley Blackwell, vol. 33(1), pages 177-194, January.
    2. Daniel Serra & Charles Revelle, 1992. "The PQ-Median problem: Location and districting of hierarchical facilities. Part I," Economics Working Papers 12, Department of Economics and Business, Universitat Pompeu Fabra.
    3. George C. Moore & Charles ReVelle, 1982. "The Hierarchical Service Location Problem," Management Science, INFORMS, vol. 28(7), pages 775-780, July.
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    1. 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.
    2. Canova, Fabio, 1999. "Does Detrending Matter for the Determination of the Reference Cycle and the Selection of Turning Points?," Economic Journal, Royal Economic Society, vol. 109(452), pages 126-150, January.
    3. Failde, Maria Alicia, 1996. "Rural and urban fiscal patterns," ISU General Staff Papers 1996010108000017633, Iowa State University, Department of Economics.
    4. Marianov, Vladimir & Serra, Daniel, 2001. "Hierarchical location-allocation models for congested systems," European Journal of Operational Research, Elsevier, vol. 135(1), pages 195-208, November.
    5. Meyer, Neil & Taylor, Garth & Peterson, Steven & Guaderrama, Marisa C., 1999. "Idaho Fiscal Project," A.E. Extension Series 305007, University of Idaho, Department of Agricultural Economics and Rural Sociology.

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