Quality and Reliability Engineering International

A method for construction of mixed‐level fractional designs

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Abstract This research presents a new method to generate near‐orthogonal balanced mixed‐level fractional designs. The proposed method showed that it is possible to create near‐orthogonal balanced fractions of economic size. The method is based in the analysis of the behavior of the genetic algorithm used to generate the efficient arrays (EAs) developed by Guo; a pattern was detected, and this led to the generation of an algorithm capable of constructing fractions in a simple way. These fractions were called near‐orthogonal balanced arrays (NOBAs). To analyze the properties of the NOBAs and the capabilities of the proposed method, a series of performance indicators were defined. The NOBAs were compared with the EAs developed by Guo; results are provided.

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