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A Single Facility Rectilinear Location Problem with Multiple Criteria

Author

Listed:
  • Leon F. McGinnis

    (Georgia Institute of Technology, Atlanta, Georgia)

  • John A. White

    (Georgia Institute of Technology, Atlanta, Georgia)

Abstract

The problem of locating a single new facility in the plane relative to several existing facilities is treated. Simultaneous consideration is given to minisum and minimax criteria. Rectilinear distances are assumed. In addition to linear programming formulations, search procedures are developed based on the special structure of the location problems examined.

Suggested Citation

  • Leon F. McGinnis & John A. White, 1978. "A Single Facility Rectilinear Location Problem with Multiple Criteria," Transportation Science, INFORMS, vol. 12(3), pages 217-231, August.
    • Handle: RePEc:inm:ortrsc:v:12:y:1978:i:3:p:217-231
    DOI: 10.1287/trsc.12.3.217
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    Citations

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    Cited by:

    1. Hamacher, H. W. & Nickel, S., 1996. "Multicriteria planar location problems," European Journal of Operational Research, Elsevier, vol. 94(1), pages 66-86, October.
    2. Adel A. Aly & Boubekeur Rahali, 1990. "Analysis of a bicriteria location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 937-944, December.
    3. Ohsawa, Yoshiaki, 1999. "A geometrical solution for quadratic bicriteria location models," European Journal of Operational Research, Elsevier, vol. 114(2), pages 380-388, April.
    4. Brazil, M. & Ras, C.J. & Thomas, D.A., 2014. "A geometric characterisation of the quadratic min-power centre," European Journal of Operational Research, Elsevier, vol. 233(1), pages 34-42.
    5. Yoshiaki Ohsawa, 2000. "Bicriteria Euclidean location associated with maximin and minimax criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 581-592, October.

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