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A practical guide to select quality indicators for assessing pareto-based search algorithms in search-based software engineering

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Published:14 May 2016Publication History

ABSTRACT

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.

References

  1. M. Harman, S. A. Mansouri and Y. Zhang, "Search Based Software Engineering: A Comprehensive Analysis and Review of Trends Techniques and Applications", Technical Report TR-09-03, Department of Computer Science, King College London, 2009.Google ScholarGoogle Scholar
  2. M. Harman, "Making the Case for MORTO: Multi Objective Regression Test Optimization", Proc. of the IEEE Fourth International Conference on Software Testing, Verification and Validation Workshops, pp. 111--114, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. S. Ali, L. C. Briand, H. Hemmati, and R. K Panesar-Walawege, "A Systematic Review of the Application and Empirical Investigation of Search-Based Test Case Generation," IEEE Transactions on Software Engineering 36 (6), pp. 742--762, 2010. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. S. Yoo, and M. Harman, "Pareto Efficient Multi-Objective Test Case Selection," Proc. of International Symposium on Software testing and analysis (ISSTA), pp. 140--150, 2007.{ Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Y. Zhang, A. Finkelstein and M. Harman, "Search Based Requirements Optimization: Existing Work and Challenges," Requirements Engineering: Foundation for Software Quality, pp. 88--94, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. S. Wang, S. Ali and A. Gotlieb, "Cost-effective test suite minimization in product lines using search techniques", Journal of Systems and Software, vol (103), 370--391, 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. C. Henard, M. Papadakis, M. Harman, and Y. L. Traon, "Combining Multi-Objective Search and Constraint Solving for Configuring Large Software Product Lines", Proc. of the 37th International Conference on Software Engineering (ICSE), 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. S. Wang, S. Ali, T. Yue and M. Liaaen, 'UPMOA: An improved search algorithm to support user-preference multi-objective optimization", Proc. of International Symposium on Software Reliability Engineering, pp. 393--404, 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. J. J. Durillo, A. J. Nebro, "jMetal: A Java framework for multi-objective optimization," Advances in Engineering Software 42, pp. 760--771. 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. S. Wang, S. Ali and A. Gotlieb, and M. Liaaen, "A Systematic Test Case Selection Methodology for Product Lines: Results and Insights From an Industrial Case Study", Empirical Software Engineering Journal, pp. 1--37, 2014.Google ScholarGoogle Scholar
  11. Y. Li, T. Yue, S. Ali, K. Nie and L. Zhang, "Zen-ReqOptimizer: A Search-based Approach for Requirements Assignment Optimization", Empirical Software Engineering Journal, 2016.Google ScholarGoogle Scholar
  12. A. S. Sayyad, T. Menzies, H. Ammar, "On the value of user preferences in search-based software engineering: a case study in software product lines", Proc. of the International Conference of Software Engineering (ICSE), 492--501, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. A. S. Sayyad, H. Ammar, "Pareto-Optimal Search-Based Software Engineering (POSBSE): A literature Survey", Proc. of 2nd International Workshop on Realizing Artificial Intelligence Synergies in Software Engineering, 21--27, 2013.Google ScholarGoogle Scholar
  14. Y. Zhang and M. Harman and A. Mansouri, "The SBSE Repository: A repository and analysis of authors and research articles on Search Based Software Engineering", CREST Centre, UCL.Google ScholarGoogle Scholar
  15. S. Wang, D. Buchmann, S, Ali, A. Gotlieb, D. Pradhan and M. Liaaen, "Multi-objective test prioritization in software product line testing: an industrial case study", Proc. of the 18th International Software Product Line Conference, pp. 32--41, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. S. Wang, S. Ali and A. Gotlieb, "Minimizing Test Suites in Software Product Lines Using Weighted-based Genetic Algorithms", Proc. of the Genetic and Evolutionary Computation Conference (GECCO), pp. 1493--1500, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. J. Brownlee, "Clever Algorithms: Nature-Inspired Programming Recipes," ISBN: 978-1-4467-8506-5, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, "A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II," IEEE Trans on Evolutionary Computation, 6(2), pp. 182--197, 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. A. J. Nebro, J. J. Durillo, F. Luna, B. Dorronsoro and E. Alba, "Design Issues in a Multiobjective Cellular Genetic Algorithm," Evolutionary Multi-Criterion Optimization, pp. 126--140, 2007. Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. E. Zitzler, M. Laumanns, and L. Thiele, "SPEA2: Improving the Strength Pareto Evolutionary Algorithm," Proc. of the EUROGEN 2001-Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems", pp. 95--100, 2001.Google ScholarGoogle Scholar
  21. J. D. Knowles and D. W. Corne, "Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy," Evolutionary Computation 8(2), 149--172, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. A. J. Nebro, J. J. Durillo, J. Garcia-Nieto, C. A. Coello Coello, F. Luna, and E. Alba, "SMPSO: A new PSO-based Metaheuristic for Multi-objective Optimization," Proc. of the Symposium on Computational Intelligence in Multicriteria Decision-Making (MCDM), pp. 66--73, 2009.Google ScholarGoogle Scholar
  23. J. J. Durillo, A. J. Nebro, F. Luna, and E. Alba, "Solving Three-objective Optimization Problems using a New Hybrid Cellular Genetic Algorithm," Parallel Problem solving from nature-PPSN X. Lecture notes in computer science (5199), pp. 661--670, 2008.Google ScholarGoogle Scholar
  24. S. Wang, S. Ali, T. Yue, Ø. Bakkeli, M. Liaaen, "Enhancing Test Case Prioritization in an Industrial Setting with Resource Awareness and Multi-Objective Search", Proc. of the 38<sup>th</sup> International Conference on Software Engineering, 2016. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. T., Yue, and S., Ali, "Applying Search Algorithms for Optimizing Stakeholders Familiarity and Balancing Workload in Requirements Assignment", Proc. of ACM Genetic and Evolutionary Computation Conference (GECCO), pp. 1295--1302, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. J. Knowles, L. Thiele, and E. Zitzler, "A Tutorial on the Performance Assessment of Stochastic Multiobjective Optimizers," Computer Engineering and Networks Laboratory (TIK), ETH Zurich, TIK Report 214, Feb. 2006.Google ScholarGoogle Scholar
  27. K., Deb, "Multi-objective optimization using evolutionary algorithms," John Wiley & Sons; 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. E., Zitzler, L., Thiele, "Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach," IEEE Trans Evol Comput; 3(4), 257--71, 1999. Google ScholarGoogle ScholarDigital LibraryDigital Library
  29. D. A., Van Veldhuizen, G. B., Lamont, "Multiobjective evolutionary algorithm research: A history and analysis, Tech. Rep. TR-98-03, Dept. Elec. Comput. Eng., Graduate School of Eng., Air Force Inst.Technol., Wright-Patterson, AFB, OH; 1998.Google ScholarGoogle Scholar
  30. T. Yue, S. Ali and B. Selic, "Cyber-physical system product line engineering: comprehensive domain analysis and experience report", Proc. of International Conference on Software Product Line, pp. 338--347, 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  31. L. Briand, D. Falessi, S. Nejati, M. Sabetzadeh, and T. Yue, "Research-based innovation: A tale of three projects in model-driven engineering," Proc. of ACM/IEEE 15th International Conference on Model Driven Engineering Languages and Systems (MODELS), pp. 793--809, 2012. Google ScholarGoogle ScholarDigital LibraryDigital Library
  32. J. L. Cochrane and M. Zeleny, "Multiple Criteria Decision Making," University of South Carolina Press, 1973.Google ScholarGoogle Scholar
  33. C. M., Fonseca, P. J., Flemming, "Multiobjective optimization and multiple constraint handling with evolutionary algorithms-part ii: application example," IEEE Trans System, Man, Cybern 28 (1), pp. 38--47, 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library
  34. M., Tanaka, H., Watanabe, Y., Furukawa, T., Tanino, "GA-based decision support system for multicriteria optimization," Proc. of the IEEE international conference on systems, man, and cybernetics, vol. 2, pp. 1556--1561, 1995.Google ScholarGoogle Scholar
  35. A. J. Nebro, F. Luna, E. Alba, B. Dorronsoro, J. J. Durillo and A. Beham, "AbYSS: Adapting Scatter Search to Multiobjective Optimization," IEEE Trans Evol Comput 12(4), pp. 439--457., 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  36. A. Zhou, Y. Jin, Q. Zhang, B. Sendhoff and E. Tsang, "Combining model-based and genetics-based offspring generation for multi-objective optimization using a convergence criterion, Proc. of IEEE Congress on evolutionary computation (CEC), pp. 3234--3241. 2006.Google ScholarGoogle Scholar
  37. W. K. G. Assunção, T. E. Colanzi, A. T. R. Pozo and S. R. Vergilio, "Establishing Integration Test Orders of Classes with Several Coupling Measures," Proc. of GECCO, Dublin, Ireland, pp. 1867--1874. 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  38. J. T. de Souza, C. L. Maia, F. G. de Freitas and D. P. Coutinho, "The human competitiveness of search based software engineering," Proc. of SSBSE, pp. 143--152, 2010. Google ScholarGoogle ScholarDigital LibraryDigital Library
  39. M. Li, S. Yang and X. Liu, "Diversity comparison of Pareto front approximations in many-objective optimization", IEEE Trans Cybern, 44(12), pp. 2568--2584, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  40. J. M. Chaves-González and M. A. Pérez-Toledano, "Differential Evolution with Pareto Tournament for the Multi-objective Next Release Problem", Applied Mathematics and Computation, vol. 252, pp. 1--13, 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  41. Amarjeet and J. K. Chhabra, "An Empirical Study of the Sensitivity of Quality Indicator for Software Module Clustering", Proc. of 7th International Conference on Contemporary Computing (IC3 '14), pp. 206--211, 2014.Google ScholarGoogle Scholar
  42. W. K. G. Assunção, T. E. Colanzi, S. R. Vergilio and A. Pozo, "A multi-objective optimization approach for the integration and test order problem", Information Sciences, Vol. 267, pp. 119--139, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  43. G. Guizzo, T. E. Colanzi and S. R. Vergilio, "A Pattern-Driven Mutation Operator for Search-Based Product Line Architecture Design", Proc. of the 6th International Symposium on Search-Based Software Engineering (SSBSE), pp. 77--91, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  44. M. Harman, Y. Jia, J. Krinke W. B. Langdon, J. Petke and Y. Zhang, "Search Based Software Engineering for Software Product Line Engineering: A Survey and Directions for Future Work", Proc. of the 18th International Software Product Line Conference (SPLC), pp. 5--18, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  45. V. Hrubá, B. Křena, Z. Letko, H. Pluháčková and T. Vojnar, "Multi-objective Genetic Optimization for Noise-Based Testing of Concurrent Software", Proc. of the 6th International Symposium on Search-Based Software Engineering (SSBSE), pp. 107--122, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  46. M. R. Karim and G. Ruhe, "Bi-Objective Genetic Search for Release Planning in Support of Themes", Proc. of the 6th International Symposium on Search-Based Software Engineering (SSBSE), pp. 123--137, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  47. L. Li, M. Harman, E. Letier and Y. Zhang, "Robust Next Release Problem: Handling Uncertainty During Optimization", Proc. of the Conference on Genetic and Evolutionary Computation (GECCO), pp. 1247--1254, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  48. R. E. Lopez-Herrejon, J. Ferrer, F. Chicano, A. Egyed and E. Alba, "Comparative Analysis of Classical Multi-Objective Evolutionary Algorithms and Seeding Strategies for Pairwise Testing of Software Product Lines", Proc. of IEEE Congress on Evolutionary Computation (CEC), pp. 387--396, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  49. F. Luna, D. L. González-Álvarez, F. Chicano and M. A. Vega-Rodríguez, "The Software Project Scheduling Problem: A Scalability Analysis of Multi-objective Metaheuristics", Applied Soft Computing, Vol. 15, pp. 136--148, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  50. M. W. Mkaouer, M. Kessentini, S., Bechikh, K., Deb and M.Ó. Cinnéide, "High Dimensional Search-based Software Engineering: Finding Tradeoffs among 15 Objectives for Automating Software Refactoring using NSGA-III", Proc. of the Conference on Genetic and Evolutionary Computation (GECCO), pp. 1263--1270, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  51. M. W. Mkaouer, M. Kessentini, S. Bechikh, and M.Ó. Cinnéide, "A Robust Multi-objective Approach for Software Refactoring under Uncertainty", Proc. of the 6th International Symposium on Search-Based Software Engineering (SSBSE), pp. 168--183, 2014.Google ScholarGoogle Scholar
  52. S. Nejati and L. C. Briand, "Identifying Optimal Trade-offs between CPU Time Usage and Temporal Constraints using Search", Proc. of the International Symposium on Software Testing and Analysis (ISSTA), pp. 251--261, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  53. A. Ramrez, J. R. Romero and S. Ventura, "On the Performance of Multiple Objective Evolutionary Algorithms for Software Architecture Discovery", Proc. of Conference on Genetic and Evolutionary Computation (GECCO), pp. 1287--1294, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  54. L. S. de Souza, R. B. C. Prudencio and F. A. Barros, "A Comparison Study of Binary Multi-Objective Particle Swarm Optimization Approaches for Test Case Selection", Proc. of the IEEE Congress on Evolutionary Computation (CEC), pp. 2164--2171, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  55. A. Sureka, "Requirements Prioritization and Next-Release Problem under Non-Additive Value Conditions", Proc. of the 23rd Australian Software Engineering Conference (ASWEC), pp. 120--123, 2014. Google ScholarGoogle ScholarDigital LibraryDigital Library
  56. W. K. G. Assunção, T. E. Colanzi, S. R. Vergilio and A. Pozo, "On the Application of the Multi-Evolutionary and Coupling-Based Approach with Different Aspect-Class Integration Testing Strategies", Proc. of the 5th International Symposium on Search-Based Software Engineering (SSBSE), pp. 19--33, 2013.Google ScholarGoogle ScholarDigital LibraryDigital Library
  57. M. Bozkurt, "Cost-aware Pareto Optimal Test Suite Minimisation for Service-centric Systems", Proc. of the Conference on Genetic and Evolutionary Computation (GECCO), pp. 1429--1436, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  58. L. C. Briand, Y. Labiche and K. Chen, "A Multi-Objective Genetic Algorithm to Rank State-Based Test Cases", Proc. of the 5th International Symposium on Search-Based Software Engineering (SSBSE), pp. 66--80, 2013.Google ScholarGoogle ScholarDigital LibraryDigital Library
  59. M. W. Mkaouer, M. Kessentini, S. Bechikh and D. R. Tauritz, "Preference-based Multi-Objective Software Modelling", Proc. of 1st International Workshop on Combining Modelling and Search-Based Software Engineering (CMSBSE '13), pp. 61--66, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  60. A. Ouni, M. Kessentini, H. Sahraoui and M. S. Hamdi, "The Use of Development History in Software Refactoring using A Multi-objective Evolutionary Algorithm", Proc. of Conference on Genetic and Evolutionary Computation (GECCO), pp. 1461--1468, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  61. A. Arcuri, and L. C. Briand, "A Practical Guide for Using Statistical Tests to Assess Randomized Algorithms in Software Engineering," Proc. of International Conference on Software Engineering (ICSE), pp. 21--28, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  62. M. O. Barros and A. C. Dias-Neto, "Threats to Validity in Search-based Software Engineering Empirical Studies", UNIRIO - Universidade Federal do Estado do Rio de Janeiro0006/2011, 2011.Google ScholarGoogle Scholar
  63. D. J. Sheskin, "Handbook of Parametric and Nonparametric Statistical Procedures", 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  64. M. Kendall, "A New Measure of Rank Correlation". Biometrika 30 (1-2): 81--89, 1938.Google ScholarGoogle ScholarCross RefCross Ref
  65. E. Zizler, J. Knowles and L. Thiele, "Quality Assessment of Pareto Set Approximations," Multiobjective Optimization Lecture Notes in Computer Science, pp. 373--404, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library

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      cover image ACM Conferences
      ICSE '16: Proceedings of the 38th International Conference on Software Engineering
      May 2016
      1235 pages
      ISBN:9781450339001
      DOI:10.1145/2884781

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      • Published: 14 May 2016

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