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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 9, Pages 1602–1613
DOI: https://doi.org/10.7868/S004446691609009X (Mi zvmmf10456) 		 
This article is cited in 5 scientific papers (total 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
Full-text PDF (1961 kB) Citations (5)
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DOI: https://doi.org/10.7868/S004446691609009X
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.
Received: 14.05.2015
Revised: 28.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 9, Pages 1580–1590
DOI: https://doi.org/10.1134/S0965542516090086
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: R. V. Khachaturov, “Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1602–1613; Comput. Math. Math. Phys., 56:9 (2016), 1580–1590
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:78
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