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Design of Experiments Guide > Covering Arrays > Statistical Details for Covering Arrays
Publication date: 04/21/2023

Image shown hereStatistical Details for Covering Arrays

This section contains statistical details for covering array designs.

Algorithm for Optimize

Formulas for Metrics

Image shown hereAlgorithm for Optimize

The covering array optimization b algorithm is conceptually similar to a class of covering array optimizers sometimes referred to as post-construction randomized optimizers (Nayeri et al., 2013). However, the algorithm in JMP differs from most in that it also addresses designs with constraints. In particular, it optimizes constrained covering arrays as well as unsatisfiable, constrained covering arrays.

The algorithm assumes that the design to be optimized is a covering array of the specified strength. For a K factor design of strength t, the algorithm iteratively examines all KCt factor projections to determine whether runs can be eliminated or merged. Consequently, as K or t increases, the run time of the algorithm quickly escalates. To improve performance, the JMP implementation is threaded to use as many CPU cores as are available on your workstation.

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