A Nondifferentiable Approach to Multicriteria Optimization

  • Y. Evtushenko
  • M. Potapov
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 255)

Abstract

Decision-making problems, the design of control systems, and the construction of multipurpose products all require the solution of multicriteria problems. These problems can be summarized in the following way. Let xR n be an n-dimensional vector of decisions (or construction parameters), and the constraint set XR n to which the vectors x belong be given. The value of each decision (or the performance of the product) is estimated on the basis of m different scalar-valued criteria (objective functions): F i (x), i∈[1:m]. We shall denote these criteria by F(x) = [F 1(x),...,F m (x)].

Keywords

Clarification 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Evtushenko, Y.G. (1971). Zhurnal Vychislitelnoi tilatematiki i hMatimaticheskoi Fiziki, 11 (6): 1390–1403.Google Scholar
  2. Evtushenko, Y.G. (1974). Techniques for finding global extrema (in Russian). In Operations Research, Vol. 4, Computing Centre of the USSR Academy of Sciences, Moscow.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Y. Evtushenko
    • 1
  • M. Potapov
    • 1
  1. 1.Computing CenterUSSR Academy of SciencesMoscowUSSR

Personalised recommendations