Multiresponse Robust Design: A General Framework Based on Combined Array

Although multiple responses are quite common in practical applications, the robust design problem is frequently dealt with by considering only one response. In this paper we present a general framework for the multivariate problem when data are collected from a combined array. Within the framework, both parameter and tolerance design are handled in an integrated way. The optimization criterion is based on a single value in terms of the quadratic loss function, and it is selected in order to incorporate both statistical information (such as correlation structure among responses and prediction uncertainty) and economic information relevant to the product or process (such as priorities and trade-offs among responses from the user's point of view). An illustrative application is presented on the design of the elastic element of a force transducer.

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