Abstract
Reflecting the software fault debugging procedure or environment of testing activities on software reliability models is often discussed as the approaches for improving assessment accuracy for model-based reliability assessment. We discuss a modeling approach reflecting software debugging procedure based on phase-type modeling scheme and propose probability models for software reliability measurement. Further, we give brief consideration for the usefulness of this modeling approach by using a few data sets.
Highlights
For conducting estimation of the failure-free operation probability of software system and other useful reliability assessment measures, it is known software reliability models (Yamada, 2014) is utilized practically in reliability assessment of software system
We can say that the phase-type modeling scheme is expected to yield some other models in software reliability assessment by describing a lot of kinds of software debugging procedures and physical meanings in debugging activities
We recognize the software debugging process-oriented approach described by the phase-type probability distribution is expected to obtain more plausible models for software reliability assessment
Summary
For conducting estimation of the failure-free operation probability of software system and other useful reliability assessment measures, it is known software reliability models (Yamada, 2014) is utilized practically in reliability assessment of software system. Change-point software reliability modeling approaches have been proposed by considering the change of testing environment and the influence on stochastic behavior of reliability growth process during the testing phase (Inoue and Yamada, 2015). As one of the approaches for improving the quality of assessment and for yielding unified modeling scheme, a phase-type modeling approach (Okamura and Dohi, 2016) has been proposed In this modeling approach, the perfect fault-correction time follows a phase-type probability distribution describing the uncertainty of the time to absorption in a CTMC, which is the abbreviation of a continuous-time Markov chain. This paper is expected to contribute to applying practically the phase-type modeling scheme for developing useful software reliability models reflecting actual debugging process. From Eq (1), it is possible to obtain the failure free probability in operation during the time-interval (t, t + x](x ≥ 0), for example
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