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Stability of Vector Problems of Integer Optimization: Relationship with the Stability of Sets of Optimal and Nonoptimal Solutions

  • Systems Analysis
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Cybernetics and Systems Analysis Aims and scope

Abstract

Several types of stability against perturbations of vector criterion coefficients are analyzed from the same point of view for a vector integer optimization problem with quadratic criterion functions. The concept of stability is defined. Necessary and sufficient conditions are formulated and analyzed for each type of stability. The topological structure of the sets of initial data on which some solution remains optimal is described.

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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, N. V. Semenova & T. I. Sergienko

Authors
  1. T. T. Lebedeva
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  2. N. V. Semenova
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  3. T. I. Sergienko
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Additional information

The study was supported from the State Fund for Basic Research of Ukraine (Grant F7/275-2001).

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 90–100, July–August 2005.

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Lebedeva, T.T., Semenova, N.V. & Sergienko, T.I. Stability of Vector Problems of Integer Optimization: Relationship with the Stability of Sets of Optimal and Nonoptimal Solutions. Cybern Syst Anal 41, 551–558 (2005). https://doi.org/10.1007/s10559-005-0090-z

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  • DOI: https://doi.org/10.1007/s10559-005-0090-z

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