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Solution of the linear inverse vector optimization problem by a single linear program

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Abstract

It is shown that finding a solution to a linear vector optimization problem which is efficient with respect to the constraints as well as to the objectives is equivalent to solving a single linear program.

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References

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  3. D.F. Gray and W.R.S. Sutherland, “Inverse programming and the linear vector maximization problem”, Mathematics Department, Dalhousie University, Halifax, Nova Scotia (September 1976).

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Authors and Affiliations

  1. University of Wisconsin, Madison, WI, USA

    O. L. Mangasarian

  2. Dalhousie University, Halifax, Nova Scotia, Canada

    W. R. S. Sutherland

Authors
  1. O. L. Mangasarian
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  2. W. R. S. Sutherland
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Additional information

The research of this author was supported by NSF Grant DCR74-20584.

The research of this author was partially supported by Canada Council Grant W760467.

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Mangasarian, O.L., Sutherland, W.R.S. Solution of the linear inverse vector optimization problem by a single linear program. Mathematical Programming 15, 232–235 (1978). https://doi.org/10.1007/BF01609024

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  • DOI: https://doi.org/10.1007/BF01609024

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