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Multicriteria Engineering Optimization Problems: Statement, Solution and Applications

Author

Listed:
  • Roman Statnikov

    (Naval Postgraduate School
    Russian Academy of Sciences)

  • Josef Matusov

    (Russian Academy of Sciences)

  • Alexander Statnikov

    (New York University Langone Medical Center)

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.

Suggested Citation

  • Roman Statnikov & Josef Matusov & Alexander Statnikov, 2012. "Multicriteria Engineering Optimization Problems: Statement, Solution and Applications," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 355-375, November.
    • Handle: RePEc:spr:joptap:v:155:y:2012:i:2:d:10.1007_s10957-012-0083-9
    DOI: 10.1007/s10957-012-0083-9
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    References listed on IDEAS

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    1. Vladimir M. Ozernoy, 1988. "Multiple criteria decision making in the USSR: A survey," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 543-566, December.
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    Cited by:

    1. Boris Polyak & Pavel Shcherbakov, 2017. "Why Does Monte Carlo Fail to Work Properly in High-Dimensional Optimization Problems?," Journal of Optimization Theory and Applications, Springer, vol. 173(2), pages 612-627, May.

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