The method of synthesizing scalar functions of functions for vibor for bagatocriterial tasks, priinyattya rishen, in the case of unaccounted

  • Артем Вячеславович Безлюбченко Национальный аэрокосмический университет им. Н. Е. Жуковского «Харьковский авиационный институт»
  • Евгений Сергеевич Меняйлов Национальный аэрокосмический университет им. Н. Е. Жуковского «Харьковский авиационный институт» https://orcid.org/0000-0002-9440-8378
  • Михаил Леонидович Угрюмов Харковский национальный университет имени В. Н. Каразина https://orcid.org/0000-0003-0902-2735
  • Катерина Михайловна Угрюмова Национальный аэрокосмический университет им. Н. Е. Жуковского «Харьковский авиационный институт» https://orcid.org/0000-0003-0043-2121
  • Сергей Викторович Черныш Национальный аэрокосмический университет им. Н. Е. Жуковского «Харьковский авиационный институт» https://orcid.org/0000-0002-1750-5158
Keywords: stochastic programming; computational mathematics; numerical analysis and programming (computer mathematics); memetic algorithm

Abstract

The problem of the definition of decision selection criteria (objective functions) and sought-for quantities estimation are considered in the multi-objective problems under a priori uncertain data. The types of decision selection criteria scalar convolution are obtained for the multi-objective problems of the development of robust meta-models, mathematical models identification, optimization and decision making. A model and a method for the synthesis of solutions of multicriteria problems of stochastic optimization with mixed conditions (MV-problems) are considered. A computational method for the synthesis of solutions of problems of this class is developed, based on a memetic algorithm. Examples of the implementation of the proposed method for solving test problems in deterministic and stochastic formulations are presented. Application of the proposed developments provides an effective robust estimation of the sought values for the parametric uncertainty of the input data and a reduction in the information complexity of the method for synthesizing quasisolutions.

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Published
2018-10-29
How to Cite
Безлюбченко, А. В., Меняйлов, Е. С., Угрюмов, М. Л., Угрюмова, К. М., & Черныш, С. В. (2018). The method of synthesizing scalar functions of functions for vibor for bagatocriterial tasks, priinyattya rishen, in the case of unaccounted. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 39(3), 14-25. Retrieved from https://periodicals.karazin.ua/mia/article/view/11643
Issue
Vol. 39 (2018)
Section
Статті