International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Algorithm for Software Reliability Growth Model based on Order Statistics of Lehmann-type Laplace Distribution-Type I

    ,

Author Affiliations

  • 1Department of Mathematics, Saranathan College of Engineering, Trichy
  • 2Department of Mathematics, Nehru Memorial College, Trichy

Res. J. Mathematical & Statistical Sci., Volume 4, Issue (8), Pages 15-25, September,12 (2016)

Abstract

In this paper, Software Reliability based on order statistics of Lehmann-Type Laplace Distribution-Type I is framed and an algorithm is generated for the model. The parameters of the distribution are estimated by using profile likelihood method and they are used to estimate the number of faults. A control mechanism is proposed using order statistics of Lehmann-Type Laplace distribution-Type I. The algorithm is tested for the software failure data. It is found that the algorithm works well for the data sets and the detection of failure is done early and frequently at many points. Thus the failures can be eradicated which will increase the life time of the software and in turn increases the software reliability.

References

  1. Pham H. (2006)., System Software Reliability., Springer, London.
  2. Shanmugam L. and Florence L. (2012)., An Overview of Software Reliability Models., International Journal of Advanced Research in Computer Science and Software Engineering, 2(1), 36-42.
  3. Vamsidhar Y. Srinivas Y. and Brahmini (2013)., Software Reliability Growth Model Based on Pareto Type III distribution., International Journal of Advanced Research in Electrical, Electronic and Instrumentation Engineering, 2(6), 2694-2698.
  4. Akilandeswari V.S., Poornima R. and Saavithri V. (2015)., Software Relaibility Growth Model using Lehmann-Type Laplace Distribution-Type II., International Journal of Applied Engineering Research, 10(13), 32835-32841.
  5. Rao K., Satya Prasad R. and Kantham R.R.L. (2011)., Assessing Software Reliability Using SPC-An Order Statistics Approach., International Journal of Computer Science, Engineering and Applications,1(4), 121-31.
  6. Poornima R. and Saavithri V. (2014)., Lehmann-Type Laplace Distributions., International Journal of Pure and Applied Mathematical Sciences, 7(1), 245-263.
  7. Poornima R. and Saavithri V. (2013)., Lehmann-Type Weighted Laplace Distribution., IJMSEA,7(1), 413-423.
  8. Akilandeswari V.S., Priyadarshini J., Yazh devi Y. and Saavithri V. (2015)., Estimation of Parameters for Order Statistics of Lehmann-Type Laplace Distribution Type-I and Type-II., Global Journal of Pure and Applied Mathematics, 11(6), 4247-4254.
  9. Satya Prasad R et. al. (2011)., Software Reliability with SPC., International Journal of Computer Science and Engineering Technologies, 2(2), 233-237.
  10. Xie M., Goh T.N. and Ranjan P. (2002)., Some effective control chart procedures for Reliability Monitoring., Reliability engineering and System Safety, 77(1), 143-50.