By Jian Zhang

This booklet studies the state of the art in combinatorial checking out, with specific emphasis at the automated iteration of try info. It describes the main everyday methods during this quarter - together with algebraic development, grasping tools, evolutionary computation, constraint fixing and optimization - and explains significant algorithms with examples. moreover, the publication lists a couple of attempt new release instruments, in addition to benchmarks and purposes. Addressing a multidisciplinary subject, it will likely be of specific curiosity to researchers and pros within the components of software program checking out, combinatorics, constraint fixing and evolutionary computation.

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**Extra info for Automatic Generation of Combinatorial Test Data**

**Sample text**

Vi−1 ) in test_suite do 7: Choose a value vi of pi and replace τ with τ = (v1 , v2 , . . , vi−1 , vi ) so that τ covers the greatest number of target combinations in π 8: Remove from π the target combinations covered by τ 9: end for 10: // vertical extension for parameter pi 11: for each combination σ in π do 12: if there exists a test that already covers σ then 13: Remove σ from π 14: else 15: Change an existing test, if possible, or otherwise add a new test to cover σ and remove it from π 16: end if 17: end for 18: end for have some target combinations uncovered, so the vertical extension stage is used to cover these target combinations by modifying existing test cases or adding new test cases.

And then we remove the newly-covered target combinations from π , so it becomes: π = {(1, −, 2, −), (2, −, 1, −), (2, −, 2, −), (−, 1, 2, −), (−, 2, 1, −), (−, 2, 2, −)}. 3 IPOG-C Example 45 Row #2 For the second test case, the number of newly-covered target combinations in π is 1 for value 1 and 2 for value 2, so we choose value 2 and append it to the test case, which now becomes (1, 2, 2, −). And then, we remove the newly-covered target combinations from π , which now becomes: π = {(2, −, 1, −), (2, −, 2, −), (−, 1, 2, −), (−, 2, 1, −)}.

5 is a CA(N + M, vk , 2). Similarly, there are product methods for pairwise mixed covering arrays. For details, see [4]. The methods can be used recursively. 7 If a CA(N , vk , 3) and a CA(M, vk , 2) both exist, then a CA(N + (v − 1) · M, v2k , 3) also exists. Suppose A is a CA(N , vk , 3), and B is a CA(M, vk , 2). Let {π i |1 ≤ i ≤ v − 1} be the cyclic group of permutations generated by π = (0, 1, . . , v − 1). In other i words, π i is a bijection that maps symbol s to (s + i) mod v. Let B π be the matrix obtained by applying the permutation π i to B.