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Stochastic Differential Equation-Based Flexible Software Reliability Growth Model

Author

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  • P. K. Kapur
  • Sameer Anand
  • Shigeru Yamada
  • Venkata S. S. Yadavalli

Abstract

Several software reliability growth models (SRGMs) have been developed by software developers in tracking and measuring the growth of reliability. As the size of software system is large and the number of faults detected during the testing phase becomes large, so the change of the number of faults that are detected and removed through each debugging becomes sufficiently small compared with the initial fault content at the beginning of the testing phase. In such a situation, we can model the software fault detection process as a stochastic process with continuous state space. In this paper, we propose a new software reliability growth model based on Itô type of stochastic differential equation. We consider an SDE-based generalized Erlang model with logistic error detection function. The model is estimated and validated on real-life data sets cited in literature to show its flexibility. The proposed model integrated with the concept of stochastic differential equation performs comparatively better than the existing NHPP-based models.

Suggested Citation

  • P. K. Kapur & Sameer Anand & Shigeru Yamada & Venkata S. S. Yadavalli, 2009. "Stochastic Differential Equation-Based Flexible Software Reliability Growth Model," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:581383
    DOI: 10.1155/2009/581383
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    Cited by:

    1. Ritu Bibyan & Sameer Anand & Anu G. Aggarwal & Abhishek Tandon, 2023. "Multi-release testing coverage-based SRGM considering error generation and change-point incorporating the random effect," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1877-1887, October.

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