Skip to main content
Top

2018 | OriginalPaper | Chapter

Selection of Optimal Software Reliability Growth Models: A Fuzzy DEA Ranking Approach

Authors : Vijay Kumar, V. B. Singh, Ashish Garg, Gaurav Kumar

Published in: Quality, IT and Business Operations

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Over the last 40 years, many software reliability growth models (SRGMs) have been proposed to estimate the reliability measures such as remaining number of faults, software failure rate, software reliability, and release time of software. Selection of an optimal SRGM for use in specific case has been an area of interest for the researchers. Techniques available in the software reliability literature can’t be used with high confidence as they do not provide complete picture about the best suitability of the SRGM for a given real date set. In this paper, we have developed a ranking method to rank SRGM based on fuzzy data envelopment analysis (DEA) approach and then applied it for ranking of SRGMs. The first approach to rank these SRGMs is converting the model parameters set given into linear programming problem by extending CCR model to fuzzy DEA model based on credibility measure level. Since the ranking method involves a fuzzy function, a fuzzy simulation is designed and embedded into genetic algorithm (GA) to establish an algorithm. Finally, numerical example is given to demonstrate the applicability of the proposed fuzzy DEA approach-based ranking method on a real data set.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Goel AL, Okumoto K (1979) Time-dependent error-detection rate model for software reliability and other performance measures. IEEE Trans Reliab 28(3):206–211 Goel AL, Okumoto K (1979) Time-dependent error-detection rate model for software reliability and other performance measures. IEEE Trans Reliab 28(3):206–211
2.
go back to reference Yamada S, Tokuno K, Osaki S (1992) Imperfect debugging models with fault introduction rate for software reliability assessment. Int J Syst Sci 23(12):2241–2252CrossRef Yamada S, Tokuno K, Osaki S (1992) Imperfect debugging models with fault introduction rate for software reliability assessment. Int J Syst Sci 23(12):2241–2252CrossRef
3.
go back to reference Abdel-Ghaly PYC, Littlewood B (1986, September) Evaluation of competing software reliability predictions. IEEE Trans Softw Eng SE-12(12):950–967CrossRef Abdel-Ghaly PYC, Littlewood B (1986, September) Evaluation of competing software reliability predictions. IEEE Trans Softw Eng SE-12(12):950–967CrossRef
4.
go back to reference Khoshgoftaar TM, Woodcock T (1991) Software reliability model se- lection: a case study. In: Proceedings of the 2nd international symposium on software. Reliability engineering. Austin, IEEE Computer Society Press, pp 183–191 Khoshgoftaar TM, Woodcock T (1991) Software reliability model se- lection: a case study. In: Proceedings of the 2nd international symposium on software. Reliability engineering. Austin, IEEE Computer Society Press, pp 183–191
5.
go back to reference Lyu M, Nikora A (1992) CASREA-A computer-aided software reliability estimation tool. In: proceedings of the fifth international workshop on computer-aided software engineering, Montreal, CA pp 84–95 Lyu M, Nikora A (1992) CASREA-A computer-aided software reliability estimation tool. In: proceedings of the fifth international workshop on computer-aided software engineering, Montreal, CA pp 84–95
6.
go back to reference Huang CY, Lyu MR, Kuo SY (2003, March) A unified scheme of some non-homogenous Poisson process models for software reliability estimation. IEEE Trans Softw Eng 29(3):81–89 Huang CY, Lyu MR, Kuo SY (2003, March) A unified scheme of some non-homogenous Poisson process models for software reliability estimation. IEEE Trans Softw Eng 29(3):81–89
7.
go back to reference Musa JD, Okumoto K (1983) A logarithmic poisson execution time model for software reliability measurement. In: Conference proceedings 7th inter- national conference on software engineering, pp 230–237 Musa JD, Okumoto K (1983) A logarithmic poisson execution time model for software reliability measurement. In: Conference proceedings 7th inter- national conference on software engineering, pp 230–237
9.
go back to reference Kapur PK, Pham H, Chanda U, Kumar V (2013) Optimal allocation of testing effort during testing and debugging phases: a control theoretic approach. Int J Syst Sci 44(9):1639–1650CrossRef Kapur PK, Pham H, Chanda U, Kumar V (2013) Optimal allocation of testing effort during testing and debugging phases: a control theoretic approach. Int J Syst Sci 44(9):1639–1650CrossRef
10.
go back to reference Kumar V, Khatri SK, Dua H, Sharma M, Mathur P (2014) An assessment of testing cost with effort dependent FDP and FCP under learning effect: a genetic algorithm approach. Int J Reliab Qual Saf Eng 21(6):1450027CrossRef Kumar V, Khatri SK, Dua H, Sharma M, Mathur P (2014) An assessment of testing cost with effort dependent FDP and FCP under learning effect: a genetic algorithm approach. Int J Reliab Qual Saf Eng 21(6):1450027CrossRef
11.
go back to reference Kumar V, Sahni R (2015) An effort allocation model considering different budgetary constraint on fault detection process and fault correction process. Decis Sci Lett 5(1):143–156 Kumar V, Sahni R (2015) An effort allocation model considering different budgetary constraint on fault detection process and fault correction process. Decis Sci Lett 5(1):143–156
12.
go back to reference Sharma K, Garg R, Nagpal CK, Garg RK (2010) Selection of optimal software reliability growth models using a distance based approach. IEEE Trans Reliab 59(2):266–276 Sharma K, Garg R, Nagpal CK, Garg RK (2010) Selection of optimal software reliability growth models using a distance based approach. IEEE Trans Reliab 59(2):266–276
13.
go back to reference Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res, Article PDF (2218 K) View Record in Scopus Citing articles (8254), 2:429–444 Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res, Article PDF (2218 K) View Record in Scopus Citing articles (8254), 2:429–444
14.
go back to reference Liu B, Liu YK (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445–450 Liu B, Liu YK (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445–450
15.
go back to reference Liu B (2004) Uncertainty theory: an introduction to its axiomatic foundations Liu B (2004) Uncertainty theory: an introduction to its axiomatic foundations
16.
go back to reference Wood A (1996) Predicting software reliability. IEEE Comput 29(11):69–77 Wood A (1996) Predicting software reliability. IEEE Comput 29(11):69–77
17.
go back to reference Goldberg DE (1989) Genetic algorithms in search of optimization and machine learning. Addison-Wesley, Reading Goldberg DE (1989) Genetic algorithms in search of optimization and machine learning. Addison-Wesley, Reading
Metadata
Title
Selection of Optimal Software Reliability Growth Models: A Fuzzy DEA Ranking Approach
Authors
Vijay Kumar
V. B. Singh
Ashish Garg
Gaurav Kumar
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-5577-5_28

Premium Partner