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Pairwise Testing

Combinatorial Test Case Generation

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The basic measure of efficiency of a pairwise test generation tool is the number of tests a tool generates given some size of input. For example, when the input has four parameters with 3 values each, denoted 3⁴ in the table below, tools create between 9 and 11 test cases. All of the test suites meet the pairwise testing criterion of covering each pair of values in at least one test case however some tools can pack all these combinations them into fewer tests. This may not matter for small problems, test suites for large test domains can exhibit bigger differences.

Test generation efficiency is one aspect of a tool that a user will want to consider when choosing a tool to use, but numbers are easier to compare than less tangile aspects like “usability”, so a standard set of benchmarks emerged over the years. The table below summarizes efficiencies for several tools that happened to publish their numbers.

# Model 3⁴ 3¹³ 4¹⁵ 3¹⁷ 2²⁹ 4¹ 3³⁹ 2³⁵ 2¹⁰⁰ 10²⁰ Source
1 AETG  9 15 41 28 10 180 Y. Lei and K. C. Tai In-parameter-order: a test generation strategy for pairwise testing, p. 8.
2 IPO  9 17 34 26 15 212 K. C. Tai and Y. Lei A Test Generation Strategy for Pairwise Testing p. 2.
3 TConfig  9 15 40 30 14 231 A. W. Williams Determination of Test Configurations for Pair-wise Interaction Coverage, p. 15.
4 CTS  9 15 39 29 10 210 A. Hartman and L. Raskin Problems and Algorithms for Covering Arrays, p. 11.
5 Jenny  11 18 38 28 16 193 Supplied by Bob Jenkins.
6 TestCover  9 15 29 21 10 181 Supplied by George Sherwood.
7 DDA  ? 18 35 27 15 201 C. J. Colbourn, M. B. Cohen, R. C. Turban A Deterministic Density Algorithm for Pairwise Interaction Coverage, p. 6.
8 AllPairs [McDowell]  9 17 34 26 14 197 Supplied by Bob Jenkins.
9 PICT 9 18 37 27 15 210 Supplied by Jacek Czerwonka.
10 EXACT 9 15 ? 21 10 ? J. Yan, J. Zhang Backtracking Algorithms and Search Heuristics to Generate Test Suites for Combinatorial Testing, p. 8.
11 IPO-s  9 17 32 23 10 220 A. Calvagna, A. Gargantini IPO-s: Incremental Generation of Combinatorial Interaction Test Data Based on Symmetries of Covering Arrays, p. 17.
12 ecFeed  10 19 37 28 16 203 Supplied by Patryk Chamuczynski.
13 JCUnit  10 23 49 33 18 245 Supplied by Hiroshi Ukai link.
14 CoverTable  9 17 34 26 12 195 CoverTable’s webpage.