Call for Paper - January 2023 Edition
IJCA solicits original research papers for the January 2023 Edition. Last date of manuscript submission is December 20, 2022. Read More

Multi Up-gradation Software Reliability Growth Model Considering the Joint Effect of Testing and Operational Phase

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2017
Raksha Verma, R. S. Parihar, Subhrata Das

Raksha Verma, R S Parihar and Subhrata Das. Multi Up-gradation Software Reliability Growth Model Considering the Joint Effect of Testing and Operational Phase. International Journal of Computer Applications 172(5):25-30, August 2017. BibTeX

	author = {Raksha Verma and R. S. Parihar and Subhrata Das},
	title = {Multi Up-gradation Software Reliability Growth Model Considering the Joint Effect of Testing and Operational Phase},
	journal = {International Journal of Computer Applications},
	issue_date = {August 2017},
	volume = {172},
	number = {5},
	month = {Aug},
	year = {2017},
	issn = {0975-8887},
	pages = {25-30},
	numpages = {6},
	url = {},
	doi = {10.5120/ijca2017915159},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}


Software companies are coming with multiple add-ons to survive in the purely competitive environment. Each succeeding up-gradation offers some performance enhancement and distinguishes itself from the past release making it more prone to failures. For developing highly reliable software it is important to understand the manner in which faults might encounter. Majority of researchers have focused on understanding the fault removal phenomenon during testing phase but few have also focused on operational phase. With the aim of catering more realistic scenario for comprehending the fault removal process for successive release, both the faults of new release along with remaining bugs of its preceding release has been considered; wherein it is assumed that remaining faults of previous release can be debugged in its operational phase together with testing phase of newer version. Convolution of probability distribution function has been considered for capturing the effect of faults removed in testing (new release) and operational phase of just previous release. Further, two different cases are formulated depending upon the failure distribution being followed for testing as well as for operational phase. The proposed cases are validated on real data set.


  1. Aggarwal, A.G., Kapur, P.K., and Garmabaki, A.S. 2011 “Imperfect Debugging Software Reliability Growth Model for Multiple Releases” Proceedings of the 5th National Conference on Computing for Nation Development-INDIACOM, New Delhi.
  2. Anand A., Singh O., and Das S., 2015 “Fault Severity based Multi up-gradation Modeling Considering Testing and Operational Profile”, International Journal of Computer Applications (0975 – 8887), Volume 124 – No.4.
  3. Garmabaki, A. H. S., Aggarwal, A.G., Kapur, P. K., and Yadavali, V. S. S., 2014 , “ The Impact of Bugs Reported from Operational Phase on Successive Software Releases”, International Journal of Productivity and Quality Management, volume 14, number 4, pp 423-440.
  4. Goel, A.L., Okumoto, K.., 1979, “Time dependent error detection rate model for software reliability and other performance measures”, IEEE Transaction Reliability, R-28(3), 206-211.
  5. Software QA and Testing Frequently-Asked-Questions, Part 1 [online] qatfaq1.html.
  6. Kapur P.K. and Garg R.B., 1992, “A software reliability growth model for an error removal phenomenon”, Software Engineering Journal, (7), 291-294.
  7. Kapur P. K., Pham H., Gupta A., and Jha P. C., 2011, “Software Reliability assessment with OR application”, Springer, Berlin.
  8. Kapur P.K, Tandon A., and Kaur G., 2010, “Multi Up-gradations Software Reliability Model”, ICRESH, 468-474.
  9. Kapur P. K., Singh O., Garmabaki A. and Singh, J., 2010, “Multi up-gradation software reliability growth model with imperfect debugging”, International Journal of systems Assurance Engineering and Management, 1(4),299-306.
  10. Kapur P. K., Anand A., and Singh O., 2011, “Modeling Successive Software Up-Gradations with Faults of Different Severity”, Proceedings of the 5th National Conference on Computing For Nation Development, ISSN 0973-7529 ISBN 978-93-80544-00-7.
  11. Singh O., Kapur P.K., Anand A. and Singh, J., 2009, “Stochastic Differential Equation based Modeling for Multiple Generations of Software”, Proceedings of Fourth International Conference on Quality, Reliability and Infocom Technology (ICQRIT), Trends and Future Directions, Narosa Publications, pp. 122-131.
  12. Singh O., Kapur P.K., and Anand A., 2011, “A Stochastic Formulation of Successive Software Releases with Fault Severity” Industrial Engineering and Engineering Management, 136-140.
  13. Singh O., Kapur P.K., Khatri S.K., and Singh J.N.P., 2012, “Software Reliability Growth Modeling for Successive Releases”, proceeding of 4th International Conference on Quality, Reliability and Infocom Technology (ICQRIT), PP 77-87.
  14. SAS Institute Inc., 2004, “SAS/ETS user’s guide version 9.1”, Cary, NC: SAS Institute Inc..
  15. Wood A., 1996, “Predicting Software Reliability”, IEEE Computer (11) 69-77.
  16. Yamada S., Ohba M., Osaki S. 1983 “S-shaped software reliability growth modelling for software error detection”, IEEE Transaction Reliability, R-32(5), 475-484.


Fault Removal Phenomenon (FRP), Multi Up-gradation, Operational Phase, Testing Phase.