Journal
JOURNAL OF SYSTEMS AND SOFTWARE
Volume 82, Issue 3, Pages 535-543Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.jss.2008.11.840
Keywords
Software reliability model; Gompertz curve; Extremal distributions; Reliability assessment; NHPP; EM algorithm
Funding
- Ministry of Education, Science, Sports and Culture [15700060, 15651076]
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Gompertz Curve has been used to estimate the number of residual faults in testing phases of software development, especially by Japanese software development companies. Since the Gompertz curve is a deterministic function, the curve cannot be applied to estimating software reliability which is the probability that software system does not fail in a prefixed time period. In this article, we propose a stochastic model called the Gompertz software reliability model based on non-homogeneous Poisson processes. The proposed model can be derived from the statistical theory of extreme-value, and has a similar asymptotic property to the deterministic Gompertz curve. Also, we develop an EM algorithm to determine the model parameters effectively. In numerical examples with software failure data observed in real software development projects, we evaluate performance of the Gompertz software reliability model in terms of reliability assessment and failure prediction. (C) 2008 Elsevier Inc. All rights reserved.
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