Single-stage optimization problem with soft restrictions

Autor:	T. V. Lapteva, D. D. Pervukhin, N. N. Ziyatdinov, G. M. Ostrovskii
Rok vydání:	2009
Předmět:	Chemical process Mathematical optimization Optimization problem Mathematical model Single stage Process (engineering) General Chemical Engineering Probabilistic-based design optimization Probabilistic logic General Chemistry Computational problem Mathematics
Zdroj:	Theoretical Foundations of Chemical Engineering. 43:420-429
ISSN:	1608-3431 0040-5795
DOI:	10.1134/s0040579509040113
Popis:	Most chemical processes are designed with the application of inaccurate mathematical models. Therefore, the objective of optimized chemical processes under uncertainty becomes an actual problem of chemical technology. It is necessary to design a process satisfying all the requirements of the designer regardless of the changing external and internal factors. This paper considers a problem of single-stage optimization with soft restrictions. Moreover, these soft restrictions should be provided with some known probability. It is necessary to note that solution of this problem of single-stage optimization needs the calculation of multidimensional integrals for mathematical expectancy of the criterion functions and probabilistic restrictions. This paper considers an approach to solution of this problem of single-stage optimization based on transforming the probabilistic restrictions into deterministic ones. The efficiency of this approach was illustrated by a computational experiment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a095a5a652fbbad25453fa8142d37b5 https://doi.org/10.1134/s0040579509040113 Zobrazit plný text záznamu Plný text ve formátu PDF