Multiresponse robust design: Mean square error (MSE) criterion

Most of the published literature on robust design methodology is basically concerned with optimization of a single response or quality characteristic which is often most critical to consumers. However, manufactured products are typically characterized by numerous quality characteristics. In this pap...

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Bibliographic Details
Published in:Applied mathematics and computation 2006-04, Vol.175 (2), p.1716-1729
Main Author: Köksoy, Onur
Format: Article
Language:English
Subjects:
Applied sciences
Combinatorics
Combinatorics. Ordered structures
Combined array
Designs and configurations
Exact sciences and technology
Mathematical programming
Mathematics
Mean square error
Multiobjective non-linear programming
Multiresponse optimization
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Operational research and scientific management
Operational research. Management science
Robust design
Sciences and techniques of general use
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Summary:Most of the published literature on robust design methodology is basically concerned with optimization of a single response or quality characteristic which is often most critical to consumers. However, manufactured products are typically characterized by numerous quality characteristics. In this paper we present a general framework for the multivariate problem when data are collected from a combined array. Within the framework, a mean square error (MSE) criterion is utilized and a non-linear multiobjective programming problem based on the individual MSE functions of each response is proposed for quality improvement. We adapted a suitable non-linear optimization algorithm to solve the proposed formulation. The optimization method used in this paper generates a string of solutions, called Pareto optimal solutions, rather than a “one shot” optimum solution to make selections and evaluate the trade-offs. The paper also presents an example and comparative results in order to demonstrate the potentials of the proposed approach.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.09.016