Comparative analysis of some computational schemes for obtaining a compromise solution
DOI:
https://doi.org/10.15587/1729-4061.2015.35607Keywords:
compromise area, optimization task, physical and chemical processes, polyfunctional biopolymer materialsAbstract
The comparative analysis of the effectiveness of the five most common computational schemes for the compromise solutions in multi-objective optimization tasks involving the convolution of criteria is conducted. The study is performed for a number of innovative technologies of formation of multifunctional biopolymer materials.
The criterion that allows to evaluate the effectiveness of different types of package is formulated. In accordance with the proposed criteria, the most effective for the regarded group of tasks is the maximin convolution. The use of the additive and multiplicative convolutions is restricted by the convex programming problems; the convolution using the Harrington’s desirability function requires testing the hypothesis of normal distribution, and the method of ideal point involves only the formulation of the necessary conditions for the existence of an extremum, so these solutions do not always meet the technological constraints.
The adaptation of computational schemes for solving the constrained optimization tasks and their software implementation using object-oriented programming language Visual Basic for Application is created.
The obtained results can be used to improve existing and develop new technologies forming biopolymer materials.
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