Two-dimensional software reliability growth modeling based on a CES type time function

Yuka Minamino, Shinji Inoue, Shigeru Yamada · 2017

Basically, existing SRGMs (software reliability growth models) assume that the software reliability growth process in the testing-phase depends only on the testing-time. It is suggested that the number of detected faults increases unconditionally if only the testing-period is ensured. That is, most of the existing models are not considered the expenditure process of devoted resources, simultaneously. In this paper, we develop new bivariate NHPP (nonhomogeneous Poisson process) models based on a CES (constant elasticity of substitution) type time function. The CES type function is a generalized function of a Cobb-Douglas function, and has a constraint eased for the elasticity of substitution. Concretely, we assume that the testing-time as a software reliability growth factor is expressed by the testing-time and testing-effort factors based on the CES type function. Finally, we show numerical examples by using actual data-sets, and we check the performance of our proposed models. Additionally, we evaluate the relationship for testing-time and testing-effort factors in terms of economics.

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