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How does your test case generator compare?
Test model Test cases HTML response time WSDL response time
(valuesfactors)a (number)b(key)c (seconds)d (seconds)d
210611
230811
21201021
351111
362241521
32015=11
33018=21
39023=22
4133261211
451611
4133923521=21
452202211
482311
42428=21
453202921
41531722929=21
48040=42
51442122011
52392202521
5243332511
533272721
5833=11
51138=11
53045=21
61552243021
62513123611
6946=11
6125721
6247232
71623124211
734204921
744123154921
71061=21
7148121
73091=43
817261453428 e5931
835286432
865104156432
81178=21
830120=65
955258133
9108121
926168421
930153=108
10342810043
102018187
11972112165
111416754
12372814487
1219210=1110
13118201691312
1327325=4240
1427291961110
1529272251817
16410262563028
22115110123301311
Notes:
a Product notation describing test model. Each exponent gives the number of test factors having the number of test values given by the corresponding base. For example, model 36224 has 6 test factors with 3 values each and 24 factors with 2 values each. The indicated product gives the total number of test cases: 36224 = 12,230,590,464.
b Number of test cases generated to cover all pairs of test factor values for this model. The number can vary if there are constraints excluding some test cases. No constraints were applied, except for the model described in Note e below.
c Key to bounds on covering array size.
Array size is at lower bound (optimal)
=Array size equals best published upper boundf
d Elapsed time in seconds from request submission until results display. Response time can vary with service load, access speed and other factors. These response times were measured with a light service load and broadband internet access. Firefox and soapUI were used for HTML and WSDL measurements respectively.
e Test model for the Advanced Web Search Example, demonstrated at the STAREAST 2005 EXPO. The 21 test factors led to 2715 factor value pairs; all but 6 were covered to comply with required constraints. See the EXPO Technical Presentation on our Background page for more detail. These results (59 test cases currently vs. 63 at STAREAST) illustrate an improvement in the service since the conference.
f References for bounds on covering array size.
On the state of strength-three covering arrays. M. Chateauneuf, D. L. Kreher. Journal of Combinatorial Designs, 10(4):217-238, 2002.
Products of mixed covering arrays of strength two. Charles J. Colbourn, Sosina S. Martirosyan, Gary L. Mullen, Dennis Shasha, George B. Sherwood, Joseph L. Yucas. Journal of Combinatorial Designs, 14(2):124-138, 2006.
Covering arrays on graphs: connections to design theory, extremal combinatorics and algebraic combinatorics. Karen Meagher. Presentation for LaCIM, February 2004.
Group construction of covering arrays. Karen Meagher, Brett Stevens. Journal of Combinatorial Designs, 13(1):70-77, 2005.
Group construction of covering arrays - part 2. Karen Meagher. Technical Report, January 2005.
Upper bounds for covering arrays by tabu search. Kari J. Nurmela. Discrete Applied Mathematics, 138(1-2):143-152, 2004.
Strength two covering arrays: existence tables and projection. Charles J. Colbourn. Discrete Mathematics, 308(5-6):772-786, 2008.
See also Comparison of Efficiency at pairwise.org tools page.
These results were updated May 9, 2012. They are subject to change, particularly improvement, without notice.
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