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Comparative Analysis of Different Types of Stability with Respect to Constraints of a Vector Integer-Optimization Problem

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Abstract

The problem of finding the Pareto set among integer points of a convex polyhedron is considered in the paper. Various types of stability of this multicriterion problem to changes of initial data under constraints are analyzed. Necessary and sufficient conditions for different types of stability with respect to constraints are obtained.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    T. T. Lebedeva & T. I. Sergienko

Authors
  1. T. T. Lebedeva
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  2. T. I. Sergienko
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Lebedeva, T.T., Sergienko, T.I. Comparative Analysis of Different Types of Stability with Respect to Constraints of a Vector Integer-Optimization Problem. Cybernetics and Systems Analysis 40, 52–57 (2004). https://doi.org/10.1023/B:CASA.0000028099.91014.d8

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  • DOI: https://doi.org/10.1023/B:CASA.0000028099.91014.d8

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