Bivariate Software Reliability Models Depending on a Cobb-Douglas Type Testing-Time Function and Their Applications  
Author Shunichi Sakaguchi


Co-Author(s) Yuka Minamino; Shinji Inoue; Shigeru Yamada


Abstract Generally, existing software reliability growth models (SRGMs) assume that the software reliability growth process in the testing-phase depends only on the testing-time. Therefore, the existing models are not be considered the process of devoted testing-effort. From this back ground, we propose new SRGMs by using the notion of the Cobb-Douglas type testing-time function. Concretely, we assume that the testing-time as a software reliability growth factor is composed of the testing-time and testing-effort factors. Next, we introduce the Cobb-Douglas testing type function into the existing nonhomogeneous Poisson process (NHPP) models. We also conduct the goodness-of-fit comparisons of the existing and our proposed models by using actual data-sets. Finally, we discuss an optimal software release problem based on our proposed model. We estimate the optimal release time and the optimal amount of testing-effort expenditures, simultaneously.


Keywords Software Reliability Growth Model (SRGM), Nonhomogeneous Poisson Process (NHPP), Cobb-Douglas Function, Optimal Software Release Problem
    Article #:  2441
Proceedings ISSAT International Conference on Reliability and Quality in Design 2018
August 2-4, 2018 - Toronto, Ontario, Canada