OPTIMAL DESIGN OF MULTI-RESPONSE EXPERIMENTS USING SEMI-DEFINITE PROGRAMMING

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SEYFI ABAS; BABAPOUR ATASHGAH A.

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Journal Paper

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Journal: AMIRKABIR Year:2007 | Volume:17 | Issue:65-B Page(s): 1-9

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Information Journal Paper

Title

OPTIMAL DESIGN OF MULTI-RESPONSE EXPERIMENTS USING SEMI-DEFINITE PROGRAMMING

Author(s)

SEYFI ABAS | BABAPOUR ATASHGAH A. | Issue Writer Certificate

Keywords

MULTI-RESPONSE D-OPTIMAL DESIGNS

SEMI-DEFINITE PROGRAMMING

MULTI-RESPONSE LINEAR MODELS

Abstract

Real-world experiments are often multi-response. The correlation between responses and the cost of experimenting lead one to cast the problem as a multi-response model. Generation of a multi-response optimal design is a challenging problem. There exist three general algorithms and all of them generate approximate design and no method for multi-response n-exact design has been cited in the literature. The existing methods have some drawbacks such as the necessity of solving many optimization problems in the process of generating an optimal design, cumbersome manual operations and the complexity of performing sensitivity analysis. In this paper, we propose a SEMI-DEFINITE PROGRAMMING (SDP) model for multi-response optimal design. The proposed method is efficient because of solving a one shot optimization problem instead of many optimization problems, enjoying the recent advancements of interior-point solution algorithms and elimination of cumbersome manual operations. The proposed model has been tested on several test problems and proved to be very efficient since the optimal designs were found very quickly in all cases. The robustness of the generated designs with respect to the variance-covariance matrix is also assessed for those test problems in order to show how sensitivity analysis can be performed. The characteristics of the proposed method are also compared with those of other existing methods.

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APA: Copy

SEYFI, ABAS, & BABAPOUR ATASHGAH, A.. (2007). OPTIMAL DESIGN OF MULTI-RESPONSE EXPERIMENTS USING SEMI-DEFINITE PROGRAMMING. AMIRKABIR, 17(65-B), 1-9. SID. https://sid.ir/paper/541786/en

Vancouver: Copy

SEYFI ABAS, BABAPOUR ATASHGAH A.. OPTIMAL DESIGN OF MULTI-RESPONSE EXPERIMENTS USING SEMI-DEFINITE PROGRAMMING. AMIRKABIR[Internet]. 2007;17(65-B):1-9. Available from: https://sid.ir/paper/541786/en

IEEE: Copy

ABAS SEYFI, and A. BABAPOUR ATASHGAH, “OPTIMAL DESIGN OF MULTI-RESPONSE EXPERIMENTS USING SEMI-DEFINITE PROGRAMMING,” AMIRKABIR, vol. 17, no. 65-B, pp. 1–9, 2007, [Online]. Available: https://sid.ir/paper/541786/en

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