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Analysis of a bicriteria location model

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  • Adel A. Aly
  • Boubekeur Rahali

Abstract

In this article a bicriteria model, formed by the weighted sum of the minisum and minimax functions for a single‐location problem, is investigated. It is shown that all efficient solutions generated by either constrained model are also properly efficient. The bicriteria model and the constrained models are theoretically equivalent, but it is more efficient and simpler to generate nondominated solutions using the constrained criterion approach. When solving the bicriteria model, a critical range is found for which all properly efficient solutions are generated.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:6:p:937-944
    DOI: 10.1002/1520-6750(199012)37:63.0.CO;2-4
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    References listed on IDEAS

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    Cited by:

    1. Ohsawa, Yoshiaki, 1999. "A geometrical solution for quadratic bicriteria location models," European Journal of Operational Research, Elsevier, vol. 114(2), pages 380-388, April.

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