Multicriteria Engineering Optimization Problems: Statement, Solution and Applications

Roman Statnikov (), Josef Matusov () and Alexander Statnikov ()
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Roman Statnikov: Naval Postgraduate School
Josef Matusov: Russian Academy of Sciences
Alexander Statnikov: New York University Langone Medical Center

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 1, 355-375

Abstract: Abstract The majority of engineering optimization problems (design, identification, design of controlled systems, optimization of large-scale systems, operational development of prototypes, and so on) are essentially multicriteria. The correct determination of the feasible solution set is a major challenge in engineering optimization problems. In order to construct the feasible solution set, a method called PSI (Parameter Space Investigation) has been created and successfully integrated into various fields of industry, science, and technology. Owing to the PSI method, it has become possible to formulate and solve a wide range of multicriteria optimization problems. In addition to giving an overview of the PSI method, this paper also describes the methods for approximation of the feasible and Pareto optimal solution sets, identification, decomposition, and aggregation of the large-scale systems.

Keywords: Feasible solution set; Visualization tools; PSI method; MOVI software; Uniformly distributed sequences (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0083-9

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