Multi-objective Programming in the U.S.S.R.

Multi-objective Programming in the U.S.S.R.

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A text intended for western and eastern research and academic communities, especially in operations research, system analysis, and management and decision science. The area of multi-objective programming has become increasingly active in operations research, applied mathematics and decision and management science because of its usefulness in solving problems ranging from engineering to economics. This book summarizes the massive, important, and original Soviet research in this area. It presents an important corpus of mathematical research never before made available in the West. The author brings together the exposition and analysis of a wide range of mehtods in the fields of multi-objective programming, as developed in the USSR during the last 20 years.
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Product details

  • Hardback | 400 pages
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0124496601
  • 9780124496606

Table of contents

Origins of Soviet multi-objective programming; a framework for approaching Soviet multi-objective programming. Part 1 No articulation of preferences: Salukvadze's ideal distance minimization method; multi-objective programming and the maximal effectiveness principle; Velichenko's minimax method. Part 2 A priori articulation of preferences: multi-objective decomposition for scalar problems. Part 3 Progressive articulation of preferences: the hierarchical decomposition approach to high dimension multi-objective programming problems; the STEM method; multi-objective graph theory; method of constraints; parameter space investigation method; the random search method; the vector-relaxation method; the interactive grid method; adaptive search method for multi-objective optimization; pareto boundary maps. Part 4 Posteriori articulation of preferences: dynamic and stochastic multi-objective programming; the reachable sets method; piecewise linear approximation. Part 5 Other noteworthy research in multi-objective programming: methodological research at VNIISI; Rastrigin and Eiduk's methodological work; the theory of parametric scalarization; miscellaneous other research; some concluding observations. Appendices: method of constraints - theoretical considerations; illustrative example - linear programming problem; method of sequential analysis; illustrative example - integer programming problem without side constraints; computational experience; terminology; Soviet books on multi-objective subjects; Soviet researchers' institutional affiliations; cyrillic-Roman transliteration conventions; Soviet sources, non-Soviet sources.
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