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Definition of the feasible solution set in multicriteria optimization problems with continuous, discrete, and mixed design variables |
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| Authors: | Roman Statnikov Alex Bordetsky Alexander Statnikov |
| Affiliation: | a Naval Postgraduate School, Monterey, CA, USA b Mechanical Engineering Research Institute, Russian Academy of Sciences, Russia c Institute for Mathematical Modeling, Russian Academy of Sciences, Russia d Vanderbilt University, Nashville, TN, USA |
| Abstract: | Engineering optimization problems are multicriteria with continuous, discrete, and mixed design variables. Correct definition of the feasible solution set is of fundamental importance in these problems. It is quite difficult for the expert to define this set. For this reason, the results of searching for optimal solutions frequently have no practical meaning. Furthermore, correct definition of this set makes it possible to significantly reduce the time of searching for optimal solutions. This paper describes construction of the feasible solution set with continuous, discrete, and mixed design variables on the basis of Parameter Space Investigation (PSI) method. |
| Keywords: | Multicriteria optimization problems Continuous, discrete, and mixed design variables Feasible solution set PSI method MOVI |
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