This article is cited in 5 papers

Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities

R. V. Khachaturov

Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia

Abstract: It is shown that finding the equivalence set for solving multiobjective discrete optimization problems is advantageous over finding the set of Pareto optimal decisions. An example of a set of key parameters characterizing the economic efficiency of a commercial firm is proposed, and a mathematical model of its activities is constructed. In contrast to the classical problem of finding the maximum profit for any business, this study deals with a multiobjective optimization problem. A method for solving inverse multiobjective problems in a multidimensional pseudometric space is proposed for finding the best project of firm's activities. The solution of a particular problem of this type is presented.

Key words: multiobjective optimization, Pareto set, equivalence set, pseudometric space, inverse problems.

UDC: 519.658

Received: 14.05.2015
Revised: 28.12.2015

DOI: 10.7868/S004446691609009X

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:9, 1580–1590

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