On stability conditions of vector \(l_\infty\)-extreme combinatorial problem with Pareto principle of optimality

Authors

  • Vladimir A. Emelichev Belarussian State University, Minsk, Belarus
  • Andrey M. Leonovich Belarussian State University, Minsk, Belarus

DOI:

https://doi.org/10.33993/jnaat321-732

Keywords:

vector \(l_\infty\)-extreme trajectorial problem, Pareto set, stability
Abstract views: 151

Abstract

We consider the multicriteria problem of combinatorial optimization with partial criteria of the kind MINMAX MODUL. The parameters of criteria are subject to "small" independent perturbations. The class of problems for which new Pareto optima do not appear, but some trajectories may lose optimality under those perturbations, is distinguished.

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References

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Published

2003-02-01

How to Cite

Emelichev, V. A., & Leonovich, A. M. (2003). On stability conditions of vector \(l_\infty\)-extreme combinatorial problem with Pareto principle of optimality. Rev. Anal. Numér. Théor. Approx., 32(1), 31–37. https://doi.org/10.33993/jnaat321-732

Issue

Vol. 32 No. 1 (2003)

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Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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