Many real-world test optimization problems (e.g., test case prioritization) are multi-objective intrinsically and can be tackled using various multi-objective search algorithms (e.g., Non-dominated Sorting Genetic Algorithm (NSGA-II)). However, existing multi-objective search algorithms have certain randomness when selecting parent solutions for producing offspring solutions. In a worse case, suboptimal parent solutions may result in offspring solutions with bad quality, and thus affect the overall quality of the solutions in the next generation. To address such a challenge, we propose CBGA-ES+, a novel cluster-based genetic algorithm with non-dominated elitist selection to reduce the randomness when selecting the parent solutions to support multi-objective test optimization. We empirically compared CBGA-ES+with random search and greedy (as baselines), four commonly used multi-objective search algorithms (i.e., Multi-objective Cellular genetic algorithm (MOCell), NSGA-II, Pareto Archived Evolution Strategy (PAES), and Strength Pareto Evolutionary Algorithm (SPEA2)), and the predecessor of CBGA-ES+(named CBGA-ES) using five multi-objective test optimization problems with eight subjects (two industrial, one real world, and five open source). The results showed that CBGA-ES+managed to significantly outperform the selected search algorithms for a majority of the experiments. Moreover, for the solutions in the same search space, CBGA-ES+managed to perform better than CBGA-ES, MOCell, NSGA-II, PAES, and SPEA2 for 2.2, 13.6, 14.5, 17.4, and 9.9 percent, respectively. Regarding the running time of the algorithm, CBGA-ES+was faster than CBGA-ES for all the experiments.

Object Constraint Language (OCL) constraints are typically used to provide precise semantics to models developed with the Unified Modeling Language (UML). When OCL constraints evolve regularly, it is essential that they are easy to understand and maintain. For instance, in cancer registries, to ensure the quality of cancer data, more than one thousand medical rules are defined and evolve regularly. Such rules can be specified with OCL. It is, therefore, important to ensure the understandability and maintainability of medical rules specified with OCL. To tackle such a challenge, we propose an automated search-based OCL constraint refactoring approach (SBORA) by defining and applying four semantics-preserving refactoring operators (i.e., Context Change, Swap, Split and Merge) and three OCL quality metrics (Complexity, Coupling, and Cohesion) to measure the understandability and maintainability of OCL constraints. We evaluate SBORA along with six commonly used multi-objective search algorithms (e.g., Indicator-Based Evolutionary Algorithm (IBEA)) by employing four case studies from different domains: healthcare (i.e., cancer registry system from Cancer Registry of Norway (CRN)), Oil&Gas (i.e., subsea production systems), warehouse (i.e., handling systems), and an open source case study named SEPA. Results show: 1) IBEA achieves the best performance among all the search algorithms and 2) the refactoring approach along with IBEA can manage to reduce on average 29.25 percent Complexity and 39 percent Coupling and improve 47.75 percent Cohesion, as compared to the original OCL constraint set from CRN. To further test the performance of SBORA, we also applied it to refactor an OCL constraint set specified on the UML 2.3 metamodel and we obtained positive results. Furthermore, we conducted a controlled experiment with 96 subjects and results show that the understandability and maintainability of the original constraint set can be improved significantly from the perspectives of the 96 participants of the controlled experiment.

In many domains, engineers build simulation models (e.g., Simulink) before developing code to simulate the behavior of complex systems (e.g., Cyber-Physical Systems). Those models are commonly heavy to simulate which makes it difficult to execute the entire test suite. Furthermore, it is often difficult to measure white-box coverage of test cases when employing such models. In addition, the historical data related to failures might not be available. This paper proposes a cost-effective approach for test case selection that relies on black-box data related to inputs and outputs of the system. The approach defines in total five effectiveness measures and one cost measure followed by deriving in total 15 objective combinations and integrating them within Non-Dominated Sorting Genetic Algorithm-II (NSGA-II). We empirically evaluated our approach with all these 15 combinations using four case studies by employing mutation testing to assess the fault revealing capability. The results demonstrated that our approach managed to improve Random Search by 26% on average in terms of the Hypervolume quality indicator.

Object Constraint Language (OCL) constraints are typically used for providing precise semantics to models developed with the Unified Modeling Language (UML). When OCL constraints evolve in a regular basis, it is essential that they are easy to understand and maintain. For instance, in cancer registries, to ensure the quality of cancer data, more than one thousand medical rules are defined and evolve regularly. Such rules can be specified with OCL. It is, therefore, important to ensure the understandability and maintainability of medical rules specified with OCL.

Test case prioritization (TP) prioritizes test cases into an optimal order for achieving specific criteria (e.g., higher fault detection capability) as early as possible. However, the existing TP techniques usually only produce a static test case order before the execution without taking runtime test case execution results into account. In this paper, we propose an approach for black-box dynamic TP using rule mining and multi-objective search (named as REMAP). REMAP has three key components: 1) Rule Miner, which mines execution relations among test cases from historical execution data; 2) Static Prioritizer, which defines two objectives (i.e., fault detection capability (FDC) and test case reliance score (TRS)) and applies multi-objective search to prioritize test cases statically; and 3) Dynamic Executor and Prioritizer, which executes statically-prioritized test cases and dynamically updates the test case order based on the runtime test case execution results. We empirically evaluated REMAP with random search, greedy based on FDC, greedy based on FDC and TRS, static search-based prioritization, and rule-based prioritization using two industrial and three open source case studies. Results showed that REMAP significantly outperformed the other approaches for 96% of the case studies and managed to achieve on average 18% higher Average Percentage of Faults Detected (APFD).

Driven by the needs of several industrial projects on the applications of multiobjective search algorithms, we observed that user preferences must be properly incorporated into optimization objectives. However, existing algorithms usually treat all the objectives with equal priorities and do not provide a mechanism to reflect user preferences. To address this, we propose an extension-user-preference multiobjective optimization algorithm (UPMOA), to the most commonly applied, nondominated sorting genetic algorithm II by introducing a user preference indicator δ, based on existing weight assignment strategies [e.g., uniformly distributed weights (UDW)]. We empirically evaluated UPMOA using four industrial problems from three diverse domains (i.e., communication, maritime, and subsea oil and gas). We also performed a sensitivity analysis for UPMOA with 625 algorithm parameter settings. To further assess the performance and scalability, 103 500 artificial problems were created and evaluated representing 207 sets of user preferences. Results show that the UDW strategy with UPMOA achieves the best performance and UPMOA significantly outperformed other three multiobjective search algorithms, and has the ability to solve problems with a wide range of complexity. We also observed that different parameter settings led to the varied performance of UPMOA, thus suggesting that configuring proper parameters is highly problem-specific.

The test case generation and prioritization of industrial cyber-physical systems face critical challenges, and simulation-based testing is one of the most commonly used techniques for testing these complex systems. However, simulation models of industrial CPSs are usually very complex, and executing the simulations becomes computationally expensive, which often make it infeasible to execute all the test cases. To address these challenges, this paper proposes a multi-objective test generation and prioritization approach for testing industrial CPSs by defining a fitness function with four objectives and designing different crossover and mutation operators. We empirically evaluated our fitness function and designed operators along with five multi-objective search algorithms [e.g., nondominated sorting genetic algorithm (NSGA-II)] using four case studies. The evaluation results demonstrated that NSGA-II achieved significantly better performance than the other algorithms and managed to improve random search for on average 43.80% for each objective and 49.25% for the quality indicator hypervolume.

The test case generation of Cyber-Physical Systems (CPSs) face critical challenges that traditional methods such as Model-Based Testing cannot deal with. As a result, simulation-based testing is one of the most commonly used techniques for testing CPSs despite sometimes being computationally too expensive. This paper proposes a search-based approach which is implemented on top of Non-dominated Sorting Genetic Algorithm II (NSGA-II), the most commonly applied multi-objective search algorithm for cost-effectively generating executable test cases in order to test CPSs. With the aim of guiding the generation of the optimal set of so-called reactive test cases, the approach formally defines three cost-effectiveness measures: requirements coverage, test case similarity and test execution time. Furthermore, we design one crossover operator and three mutation operators (i.e., mutation at test suite level named Mu TS, mutation at test case level named Mu TC and mutation at both levels named Mu BO) for test case generation. We evaluate our approach by comparing with Random Search (RS) using four case studies (one of them is an industrial system). Moreover, we evaluate the three mutation operators using the four case studies. The results of the experiment (with a rigorous statistical analysis) indicated that our approach in conjunction with the crossover operator operation and three mutation operators significantly outperformed RS. In general, Mu BO achieved the best performance among the three mutation operators and managed to improve on average the test execution time by 14%, the requirements coverage by 34%, and the test similarity by 75% as compared with RS.

The Cancer Registry of Norway (CRN) employs a cancer registry system to collect cancer patient data (e.g., diagnosis and treatments) from various medical entities (e.g., clinic hospitals). The collected data are then checked for validity (i.e., validation) and assembled as cancer cases (i.e., aggregation) based on more than 1000 cancer coding rules in the system. However, it is frequent in practice that the collected cancer data changes due to various reasons (e.g., different treatments) and the cancer coding rules can also change/evolve due to new medical knowledge. Thus, such a cancer registry system requires an efficient means to automatically analyze these changes and provide consequent impacts to medical experts for further actions. This paper proposes an automated Rule-based Change Impact Analysis (CIA) approach named RCIA that includes: 1) a change classification to capture the potential changes that can occur at CRN; 2) in total 80 change impact analysis rules including 50 dependency rules and 30 impact rules; and 3) an efficient algorithm to analyze changes and produce consequent impacts. We evaluate RCIA via a case study with 12 real change sets from CRN and a conducted interview. The results showed that RCIA managed to produce 100% actual change impacts and the medical expert at CRN is quite positive to apply RCIA to facilitate their cancer registry system. We also shared a set of lessons learned based on the collaboration with CRN.

Multi-objective search algorithms (e.g., non-dominated sorting genetic algorithm II (NSGA-II)) have been frequently applied to address various testing problems requiring multi-objective optimization such as test case selection. However, existing multi-objective search algorithms have certain randomness when selecting parent solutions for producing offspring solutions. In the worse case, suboptimal parent solutions may result in offspring solutions with bad quality, and thus affect the overall quality of the next generation. To address such a challenge, we propose a cluster-based genetic algorithm with elitist selection (CBGA-ES) with the aim to reduce such randomness for supporting multi-objective test optimization. We empirically compared CBGA-ES with random search, greedy (as baselines) and four commonly used multi-objective search algorithms (e.g., NSGA-II) using two industrial and one real world test optimization problem, i.e., test suite minimization, test case prioritization, and test case selection. The results showed that CBGA-ES significantly outperformed the baseline algorithms (e.g., greedy), and the four selected search algorithms for all the three test optimization problems. CBGA-ES managed to outperform more than 75% of the objectives for all the four algorithms in each test optimization problem. Moreover, CBGA-ES was able to improve the quality of the solutions for an average of 32.5% for each objective as compared to the four algorithms for the three test optimization problems.

Cyber-Physical Systems (CPSs) can be found in many sectors (e.g., automotive and aerospace). These systems are usually configurable to give solutions based on different needs. The variability of these systems is large, which implies they can be set into millions of configurations. As a result, different testing processes are needed to efficiently test these systems: the appropriate configurations must be selected and relevant test cases for each configuration must be chosen as well as prioritized. Prioritizing the order in which the test cases are executed reduces the time for detecting faults in these kinds of systems. However, the test suite size is often large and exploring all the possible test case orders is infeasible. Search algorithms can help find optimal solutions from a large solution space. This paper presents an approach based on weight-based search algorithms for prioritizing the test cases for configurable CPSs. We empirically evaluate the performance of the following algorithms with two case studies: Weight-Based Genetic Algorithms, Random Weighted Genetic Algorithms, Greedy, Alternating Variable Method and Random Search (RS). Our results suggest that all the search algorithms outperform RS, which is taken as a baseline. Local search algorithms have shown better performance than global search algorithms.

Due to limited time and resources available for execution, test case selection always remains crucial for cost-effective testing. It is even more prominent when test cases require manual steps, e.g., operating physical equipment. Thus, test case selection must consider complicated trade-offs between cost (e.g., execution time) and effectiveness (e.g., fault detection capability). Based on our industrial collaboration within the Maritime domain, we identified a real-world and multi-objective test case selection problem in the context of robustness testing, where test case execution requires human involvement in certain steps, such as turning on the power supply to a device. The high-level goal is to select test cases for execution within a given time budget, where test engineers provide weights for a set of objectives, depending on testing requirements, standards, and regulations. To address the identified test case selection problem, we defined a fitness function including one cost measure, i.e., Time Difference (TD) and three effectiveness measures, i.e., Mean Priority (MPR), Mean Probability (MPO) and Mean Consequence (MC) that were identified together with test engineers. We further empirically evaluated eight multi-objective search algorithms, which include three weight-based search algorithms (e.g., Alternating Variable Method) and five Pareto-based search algorithms (e.g., Strength Pareto Evolutionary Algorithm 2 (SPEA2)) using two weight assignment strategies (WASs). Notice that Random Search (RS) was used as a comparison baseline. We conducted two sets of empirical evaluations: 1) Using a real world case study that was developed based on our industrial collaboration; 2) Simulating the real world case study to a larger scale to assess the scalability of the search algorithms. Results show that SPEA2 with either of the WASs performed the best for both the studies. Overall, SPEA2 managed to improve on average 32.7%, 39% and 33% in terms of MPR, MPO and MC respectively as compared to RS.

Many software engineering problems are multi-objective in nature, which has been largely recognized by the Search-based Software Engineering (SBSE) community. In this regard, Pareto-based search algorithms, e.g., Non-dominated Sorting Genetic Algorithm II, have already shown good performance for solving multi-objective optimization problems. These algorithms produce Pareto fronts, where each Pareto front consists of a set of non-dominated solutions. Eventually, a user selects one or more of the solutions from a Pareto front for their specific problems. A key challenge of applying Pareto-based search algorithms is to select appropriate quality indicators, e.g., hypervolume, to assess the quality of Pareto fronts. Based on the results of an extended literature review, we found that the current literature and practice in SBSE lacks a practical guide for selecting quality indicators despite a large number of published SBSE works. In this direction, the paper presents a practical guide for the SBSE community to select quality indicators for assessing Pareto-based search algorithms in different software engineering contexts. The practical guide is derived from the following complementary theoretical and empirical methods: 1) key theoretical foundations of quality indicators; 2) evidence from an extended literature review; and 3) evidence collected from an extensive experiment that was conducted to evaluate eight quality indicators from four different categories with six Pareto-based search algorithms using three real industrial problems from two diverse domains.

Cyber-Physical Systems (CPSs) are often tested at different test levels following "X-in-the-Loop" configurations: Model-, Software- and Hardware-in-the-loop (MiL, SiL and HiL). While MiL and SiL test levels aim at testing functional requirements at the system level, the HiL test level tests functional as well as non-functional requirements by performing a real-time simulation. As testing CPS product line configurations is costly due to the fact that there are many variants to test, test cases are long, the physical layer has to be simulated and co-simulation is often necessary. It is therefore extremely important to select the appropriate test cases that cover the objectives of each level in an allowable amount of time. We propose an efficient test case selection approach adapted to the "X-in-the-Loop" test levels. Search algorithms are employed to reduce the amount of time required to test configurations of CPS product lines while achieving the test objectives of each level. We empirically evaluate three commonly-used search algorithms, i.e., Genetic Algorithm (GA), Alternating Variable Method (AVM) and Greedy (Random Search (RS) is used as a baseline) by employing two case studies with the aim of integrating the best algorithm into our approach. Results suggest that as compared with RS, our approach can reduce the costs of testing CPS product line configurations by approximately 80% while improving the overall test quality.

Multi-objective search algorithms (e.g., non-dominated sorting genetic algorithm II (NSGA-II)) have been applied extensively to solve various multi-objective optimization problems in software engineering such as problems in testing. However, existing multi-objective algorithms usually treat all the objectives with equivalent priorities and do not provide a mechanism to reflect various user preferences when guiding search. The need to have such a mechanism was observed in one of our industrial projects on applying search algorithms for test optimization of a product line of Videoconferencing Systems (VCSs) called Saturn, where user preferences must be incorporated into optimization objectives, based on domain knowledge of test engineers for VCS testing. To address this, we propose an extension to the most commonly-used multi-objective search algorithm NSGA-II, which has shown promising results with user preferences. We name the extension as User-Preference Multi-Objective Optimization Algorithm (UPMOA), which includes a user preference indicator p and is based on existing weight assignment strategies. We empirically evaluated UPMOA with two industrial problems focusing on optimizing the test execution system for Saturn in Cisco. To assess the performance and scalability of UPMOA, inspired by the two industrial problems, in total we created 64000 artificial problems with 128 different sets of user preferences. The evaluation includes two aspects: 1) Three weight assignment strategies together with UPMOA were empirically evaluated to identify a best weight assignment strategy for p. Results show that the Uniformly Distributed Weights (UDW) strategy can assist UPMOA in achieving the best performance; 2) UPMOA was compared with three representative multi-objective search algorithms (including NSGA-II) and results show that UPMOA significantly outperformed the others and has the ability to solve problems with a wide range of complexity.

Test prioritization is crucial for testing products in a product line considering limited budget in terms of available time and resources. In general, it is not practically feasible to execute all the possible test cases and so, ordering test case execution permits test engineers to discover faults earlier in the testing process. An efficient prioritization of test cases for one or more products requires a clear consideration of the tradeoff among various costs (e.g., time, required resources) and effectiveness (e.g., feature coverage) objectives. As an integral part of the future Cisco's test scheduling system for validating video conferencing products, we introduce a search-based multi-objective test prioritization technique, considering multiple cost and effectiveness measures. In particular, our multi-objective optimization setup includes the minimization of execution cost (e.g., time), and the maximization of number of prioritized test cases, feature pairwise coverage and fault detection capability. Based on cost-effectiveness measures, a novel fitness function is defined for such test prioritization problem. The fitness function is empirically evaluated together with three commonly used search algorithms (e.g., (1+1) Evolutionary algorithm (EA)) and Random Search as a comparison baseline based on the Cisco's industrial case study and 500 artificial designed problems. The results show that (1+1) EA achieves the best performance for solving the test prioritization problem and it scales up to solve the problems of varying complexity.

Test minimization techniques aim at identifying and eliminating redundant test cases from test suites in order to reduce the total number of test cases to execute, thereby improving the efficiency of testing. In the context of software product line, we can save effort and cost in the selection and minimization of test cases for testing a specific product by modeling the product line. However, minimizing the test suite for a product requires addressing two potential issues: 1) the minimized test suite may not cover all test requirements compared with the original suite; 2) the minimized test suite may have less fault revealing capability than the original suite. In this paper, we apply weight-based Genetic Algorithms (GAs) to minimize the test suite for testing a product, while preserving fault detection capability and testing coverage of the original test suite. The challenge behind is to define an appropriate fitness function, which is able to preserve the coverage of complex testing criteria (e.g., Combinatorial Interaction Testing criterion). Based on the defined fitness function, we have empirically evaluated three different weight-based GAs on an industrial case study provided by Cisco Systems, Inc. Norway. We also presented our results of applying the three weight-based GAs on five existing case studies from the literature. Based on these case studies, we conclude that among the three weight-based GAs, Random-Weighted GA (RWGA) achieved significantly better performance than the other ones.