A parallelism extended approach for the enumeration of orthogonal arrays

Abstract

Orthogonal Array plays an important role in Design of Experiment and software testing. The most challenging aspect of Orthogonal array is the enumeration problem, that is for given parameter sets, we want to count exactly how many isomorphism classes exist. Enumeration of orthogonal array usually requires huge effort needed to complete its computation. There are several algorithms that have been proposed for enumeration of orthogonal array, however, there exists ineffective parallelism approach for handling this problem. In this paper, we present a step-by-step parallelism extending approach for enumeration of orthogonal array. The experiments show that this proposed approach could get an relative speedup efficiency of up to 128 processes and a great dynamic load balancing between computing processes. © 2011 Springer-Verlag.