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Fractions in the Location Set-Covering Problem

Author

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  • K E Rosing

    (Economisch-Geografisch Instituut, Erasmus Universiteit Rotterdam, 3000 DR Rotterdam, The Netherlands, and Department of Geography, University of Manitoba, Winnipeg, Manitoba R3T 2NZ, Canada)

  • C S ReVelle

    (Department of Geography and Environmental Engineering, Johns Hopkins University, Baltimore, MD 21218, USA)

  • H Rosing-Vogelaar

    (Economisch-Geografisch Instituut, Erasmus Universiteit Rotterdam, 3000 DR Rotterdam, The Netherlands)

Abstract

Inferior and noninferior solutions to the location set-covering problem arc differentiated and computational experience is presented which strongly suggests that noninferior solutions, from the relaxed linear programming formulation, will be fully integral with a high degree of reliability. The authors have not yet encountered a noninferior fractional solution. An explanation of this phenomenon is presented.

Suggested Citation

  • K E Rosing & C S ReVelle & H Rosing-Vogelaar, 1992. "Fractions in the Location Set-Covering Problem," Environment and Planning B, , vol. 19(2), pages 125-130, April.
  • Handle: RePEc:sae:envirb:v:19:y:1992:i:2:p:125-130
    DOI: 10.1068/b190125
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    Cited by:

    1. John Hodgson, M. & Rosing, K. E. & Leontien, A. & Storrier, G., 1996. "Applying the flow-capturing location-allocation model to an authentic network: Edmonton, Canada," European Journal of Operational Research, Elsevier, vol. 90(3), pages 427-443, May.

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