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On the Dual of the Linearly Constrained Multifacility Location Problem with Arbitrary Norms

Author

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  • Henrik Juel

    (Soenderborg School of Economics and Business Administration, Soenderborg, Denmark)

  • Robert F. Love

    (McMaster University, Hamilton, Ontario)

Abstract

In this article the dual of the multifacility location problem with arbitrary norms is developed and its uses indicated. The formulation allows any number of linear constraints in the primal on the individual new facility locations. It is shown that the multipliers associated with the linear equations of the dual are the optimal facility locations of the primal.

Suggested Citation

  • Henrik Juel & Robert F. Love, 1981. "On the Dual of the Linearly Constrained Multifacility Location Problem with Arbitrary Norms," Transportation Science, INFORMS, vol. 15(4), pages 329-337, November.
    • Handle: RePEc:inm:ortrsc:v:15:y:1981:i:4:p:329-337
    DOI: 10.1287/trsc.15.4.329
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    Cited by:

    1. Gert Wanka & Oleg Wilfer, 2017. "Duality results for nonlinear single minimax location problems via multi-composed optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 401-439, October.
    2. Halit Üster & Robert F. Love, 2002. "Duality in constrained multi‐facility location models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 410-421, June.

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