In this paper, we focused on the description of versions 1.1 and 1.2 since version 1.0 was detailed elsewhere (Balera and Santiago Júnior 2015). Alternative Hypothesis, H 1.6 – There is difference regarding cost between TTR 1.2 and ACTS. The three versions (1.0 (Balera and Santiago Júnior 2015), 1.1, and 1.2) of TTR were implemented in Java. The N-wise testing then would just be, all possible combinations from the above formula. Imagining that the code deals with the conditions taking only two parameters at a time, might reduce the number of needed test cases. Most failures are triggered by one or two parameters interacting, with progressively fewer by 3, 4, or more .

definition of combinatorial testing

The best part about Pairwise testing is the versatility, it can be used across domains, any scale, no matter the size of the company or the project. With Pairwise testing we can avoid such complexity, it is an effective test case design technique that combines two different parameters to create several permutations and combinations for best coverage. As a tester, I prefer to do all-pairs testing and boundary value analysis at the same time, then assess customer or system workflows. Test each grouping first for defects, then combine them, to have confidence that the finished product functions as expected.

Generating combinatorial test suite using combinatorial optimization

Nowadays, software systems are complex and can have multiple possible configurations, for example, an application can have multiple target operating systems, execute in various types of hardware, and in multiple resolutions. But also those applications can have multiple states which they are in. Since combinatorial testing follows a complex procedure and it can be a tedious task to manually perform this testing on many input parameters, we, therefore, use combinatorial testing tools. Not only are these tools easy to use with many input parameters, but they can also add constraints in the input parameters and generate test configurations accordingly.

definition of combinatorial testing

This paper presented a novel CIT algorithm, called TTR, to generate test cases specifically via the MCA technique. TTR produces an MCA M, i.e. a test suite, by creating and reallocating t-tuples into this matrix M, considering a variable called goal (ζ). The greatest advantage of TTR 1.2 turned out to be again for higher strengths. Recall that TTR 1.2 does not create the matrix of t-tuples at the beginning, and this can potentially benefit our solution compared with the other five for higher strengths. The only exception is the comparison against IPOG-F where the Null Hypothesis, H 0.2, could not be rejected and thus there is no statistical difference between both approaches.

Constructing test suites for interaction testing

In this paper, we extend the set-based PSO, an existing discrete PSO method, to covering array generation. Two auxiliary strategies are proposed to improve performance , and thus a novel DPSO for covering array generation is developed. Guidelines for parameter settings both for conventional PSO and for DPSO are developed systematically here. Discrete extensions of four existing PSO variants are developed , in order to further investigate the effectiveness of DPSO for covering array generation. Experiments show that CPSO can produce better results using the guidelines for parameter settings, and that DPSO can generate smaller covering arrays than CPSO and other existing evolutionary algorithms.

definition of combinatorial testing

Although the space complexity of BST-ENLU approach is higher than SENLU approach in case of insertion, but in terms of number of dominance comparisons, BST-ENLU approach can outperform SENLU approach. The comparative results show that in case where all the solutions are in different fronts, the maximum number of dominance comparisons using BST-ENLU approach is very less than ENLU approach. A tree based approach is introduced to identify the correct position of the solution to be deleted efficiently. Also a theoretical upper bound to the maximum number of dominance comparisons is obtained for both the proposed approaches in case of both insertion and deletion operations. Experimental results showed that CIT is an effective testing technique for this kind of application and the results also showed the usefulness of model-based mutation testing to assess CIT applications. Conclusions of this study are that for the testing of the target product in a simulated environment, the improved combinatorial testing tools do qualify as useful and this type of testing will be included in current practices.

What are the benefits of Pairwise testing?

In such experiment, we jointly considered cost and efficiency in a multi-objective perspective. We conclude that TTR 1.2 is more adequate than TTR 1.1 especially for higher strengths . This is explained by the fact that, in TTR 1.2, we no longer generate the matrix of t-tuples (Θ) but rather the algorithm works on a t-tuple by t-tuple creation and reallocation into M. This benefits version 1.2 so that it can properly handle higher strengths. In this section we present some relevant studies related to greedy algorithms for CIT.

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The independent variable is the algorithm/tool for CIT test case generation for both assessments (cost-efficiency, cost). To measure cost, we simply verified the number of generated test cases, i.e. the number of rows of the final matrix M, for each instance/sample. The efficiency measurement required us to instrument each one of the implemented versions of TTR and measure the computer current time before and after the execution of each algorithm. In all cases, we used a computer with an Intel Core i CPU @ 3.60 GHz processor, 8 GB of RAM, running Ubuntu 14.04 LTS 64-bit operating system. The goal of this second analysis is to provide an empirical evaluation of the time performance of the algorithms.


CIT relates to combinatorial analysis whose objective is to answer whether it is possible to organize elements of a finite set into subsets so that certain balance or symmetry properties are satisfied . Consider the scenario where you have test data stored in an excel file. You may be testing the application manually or using test automation tools. In this case, you can feed the test data inputs to the CTD tool to help you generate a combination of the test data input interactions. This improved set of test data goes as an input to the manual test or automation test processes. Many researchers use the OA concept for their industrial experiments in many domains all over the world.

The best way to overcome such a situation is to implement Combinatorial Testing in software and applications. Combinatorial Testing is an approach that can systematically examine system setting in a manageable number of tests and by systematically covering t-way interactions. Therefore, here is an expounded discussion on Combinatorial Testing, to define its significance, methods and other major qualities. Orthogonal Array Testing – Orthogonal Array testing and pairwise testing are very similar in many important respects.

An algorithm for combinatorial interaction testing: definitions and rigorous evaluations

Hence, pairwise testing technique is immensely useful in designing test for applications involving multiple parameters. Its test suit covers all combinations and therefore, it is not exhaustive yet very effective in finding bugs. Though pairwise testing can dramatically reduce combinations, it still remains really effective in terms of fault detections and is indeed a smart test design technique that promises best test efforts and exceptional effectiveness. Combinatorial testing aims to generate small sets of test cases to uncover defects caused by those factors and their interactions. Covering array generation, a discrete optimization problem, is the most popular research area in the field of CT.

definition of combinatorial testing

This can lead to the generation of a hydroxyl group, which can potentially affect the biological activity of a target compound. Ellman uses solid phase supports in a multi-step synthesis scheme to obtain 192 individual 1,4-benzodiazepine derivatives, which are well-known therapeutic agents. In our work with a large European insurance company to test their Internet applications, it would have taken months to do the thousands of tests defined in their testing plan. In a typical synthesis, only a single target molecule is produced at the end of a synthetic scheme, with each step in a synthesis producing only a single product. In a combinatorial synthesis, when using only single starting material, it is possible to synthesize a large library of molecules using identical reaction conditions that can then be screened for their biological activity. “Our feedback on [NIST-ACTS] is extremely positive. The tool implement in a very efficient way the algorithm of N-Wise reduction we were looking at. In fact, we would be interested in including your technology in our tool .”

Combinatorial Testing tools in Software Testing

Combinatorial testing is a testing technique in which multiple combinations of the input parameters are used to perform testing of the software product. The aim is to ensure that the product is bug-free and can handle different combinations or cases of the input configuration. One What is combination testing of the most commonly used combinatorial testing methods is the pairwise testing technique which involves testing all pairs of input variable values. Software systems continuously grow in size and code complexity, the latter most evident through greater component interconnectedness.

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