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Vector maximization at a degenerate vertex

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Abstract

Method II.2 of our paper [2] on vector maximization published earlier in this journal may fail at a degenerate vertex. The modification of the method needed to overcome this defect is described.

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References

  1. J.P. Evans, R.E. Steur, “A revised simplex method for linear multiple objective programs”,Mathematical Programming 5 (1) (1973) 54–72.

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  2. J. Philip, “Algorithms for the vector maximization problem”,Mathematical Programming 2 (2) (1972) 207–209.

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  3. J. Philip, “An algorithm for combined quadratic and multiobjective programming”, TRITA-MAT-1973-5, Tech. Rept., Dept. Mathematics, Royal Institute of Technology, Stockholm 70, Sweden.

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Philip, J. Vector maximization at a degenerate vertex. Mathematical Programming 13, 357–359 (1977). https://doi.org/10.1007/BF01584348

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  • DOI: https://doi.org/10.1007/BF01584348

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