Generalized Minimum Aberration mixed-level orthogonal arrays A general approach based on sequential integer quadratically constrained quadratic programming

摘要

Orthogonal Fractional Factorial Designs and in particular Orthogonal Arraysare frequently used in many fields of application, including medicine,engineering and agriculture. In this paper we present a methodology and analgorithm to find an orthogonal array, of given size and strength, thatsatisfies the generalized minimum aberration criterion. The methodology isbased on the joint use of polynomial counting functions, complex coding oflevels and algorithms for quadratic optimization and puts no restriction on thenumber of levels of each factor.