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Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 1, Pages 100–108 (Mi timm1033)  

Adaptive stability in combinatorial optimization problems

E. E. Ivanko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We consider a general approach to the construction of necessary, sufficient, and necessary and sufficient conditions that allow to “adapt” a known optimal solution of an abstract combinatorial problem with a certain structure to a change in the initial data set for a fixed cost function “easily” from the combinatorial point of view. We call this approach adaptive stability. Apparently, it is the first time that the approach is described for an abstract problem in a rigorous mathematical formalization.

Keywords: stability, combinatorial optimization problem, adaptation of solutions, disturbance of the initial data set.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 79–87

Bibliographic databases:

UDC: 517.977
Received: 30.09.2013

Citation: E. E. Ivanko, “Adaptive stability in combinatorial optimization problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 100–108; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 79–87

Citation in format AMSBIB
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\jour Proc. Steklov Inst. Math. (Suppl.)
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