Preliminary communication

https://doi.org/10.31803/tg-20211012135212

Application of Intersection Method for Multi-Objective Optimization in Optimal Test with Desirable Response Variable

Maosheng Zheng orcid.org/0000-0003-3361-4060 ; School of Chemical Engineering, Northwest University, No. 229, Taibai North Road, Xi’an, 710069, Shaanxi Province, China
Haipeng Teng ; School of Chemical Engineering, Northwest University, No. 229, Taibai North Road, Xi’an, 710069, Shaanxi Province, China
Yi Wang ; School of Chemical Engineering, Northwest University, No. 229, Taibai North Road, Xi’an, 710069, Shaanxi Province, China

Abstract

This paper aims to conduct applications of intersection method for multi-objective optimization in optimal test design with desirable response variable. The partial favourable probability of the desirable response variable of the test is evaluated according to the type of “one side desirability problem” or “one range desirability problem” and the requirements of desirable response first; then the evaluation of total favourable probability Pt of the multi-objective optimization test design is conducted according to the common procedure of the "intersection" method for multi-object optimization of performance indicators of the test. Finally, regression analysis is performed for the total favourable probability and response variables to get maximum total favourable probability and optimal configuration of the optimal test with desirable response variable. As application examples of the intersection method for the test designs of maximizing yield with constraints of viscosity and molecular weight and the maximizing conversion rate with constraints of desirable thermal activity are given in detail, satisfied results are obtained.

Keywords

desirable response variable; intersection method; multi-objective optimization; optimal test design; partial favourable probability

Hrčak ID:

276146

URI

https://hrcak.srce.hr/276146

Publication date:

8.5.2022.

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