About stability of mixed integer optimization problems under perturbations of input data of vector criterion

Fìz.-mat. model. ìnf. tehnol. 2020, 33:7-11

Authors

  • Tetiana Lebedeva V. M. Glushkov Institute of Cybernetics of NAS of Ukraine, Glushkova Str., 40, 03187, Kyiv
  • Natalia Semenova V. M. Glushkov Institute of Cybernetics of NAS of Ukraine, Glushkova Str., 40, 03187, Kyiv
  • Tetiana Sergienko V. M. Glushkov Institute of Cybernetics of NAS of Ukraine, Glushkova Str., 40, 03187, Kyiv

DOI:

https://doi.org/10.15407/fmmit2021.33.007

Keywords:

multicriteria problems of partially integer optimization, vector criterion, stability, perturbation of input data

Abstract

The article is devoted to the study of the influence of uncertainty in initial data on the solutions of mixed integer optimization vector problems. In the optimization problems, including problems with vector criterion, small perturbations in initial data can result in solutions strongly different from the true ones. The problem of stability of the indicated tasks is studied from the point of view of direct coupled with her question in relation to stability of solutions belonging to some subsets of feasible set.

References
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Published

2021-09-02

How to Cite

Lebedeva, T., Semenova, N., & Sergienko, T. (2021). About stability of mixed integer optimization problems under perturbations of input data of vector criterion: Fìz.-mat. model. ìnf. tehnol. 2020, 33:7-11. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (33), 7–11. https://doi.org/10.15407/fmmit2021.33.007