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Distributed Multiobjective Optimization Problems and Methods for their Solution

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Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 448))

Abstract

Methods for solving distributed multiobjective problems for interrelated linear mathematical models with own linear criterion function are considered in the paper. A general procedure of constructing distributed methods of searching solutions for interrelated multicriterion mathematical programming based on solving a minimax problem formed with respect to a set of criterion function is discussed. The procedure is named distributed as it admits parallel and asynchronous execution of actions for seaching local solutions with next coordination to obtain a solution of the general problem.

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References

  1. Mikhalevich V.S., Volkovich V.L. Computatinal Methods for Investigation and Design of Complex Systems. Moscow, 1982.

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  2. Volkovich V.L., Kolenov G.V., Mashenko S.O. An algorithm for solving linear optimization problem in the distributed system // Avtomatika, 1989, N1.

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  3. Mikhalevich VS., Volkovich V.L., Kolenov G.V An algorithm for coordinating the solutions in the distributed system of interrelated problems with linear models // Kibernetika, 1988, N3.

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  4. Volkovich V.L., Kolenov G.V. The method for the distributed solution of interrelated optimization problems //Tekhnicheskaya Kibernetika, 1990, N6, p.28–42.

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Author information

Authors and Affiliations

  1. V.M.Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Prospect Akademika Glushkova 40, 252207, Kiev 207, Ukraine

    V. L. Volkovich

Authors
  1. V. L. Volkovich
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Editor information

Editors and Affiliations

  1. Fernuniversität Hagen, Fachbereich Wirtschaftswissenschaft, Feithstrasse l40/AVZ II, D-58097, Hagen, Germany

    Günter Fandel

  2. Thomas Hanne Fernuniversität Hagen Fachbereich Wirtschaftswissenschaft, Fach Operations Research und Wirtschaftsmathematik, Lütkenheider Strasse 2, D-58084, Hagen, Germany

    Tomas Gal

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© 1997 Springer-Verlag Berlin Heidelberg

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Volkovich, V.L. (1997). Distributed Multiobjective Optimization Problems and Methods for their Solution. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_26

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  • DOI: https://doi.org/10.1007/978-3-642-59132-7_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62097-6

  • Online ISBN: 978-3-642-59132-7

  • eBook Packages: Springer Book Archive

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