On Equilibrium Distribution Properties in Software Reliability Modeling

The non-homogeneous Poisson processes (NHPPs) have gained much popularity in actual software testing phases to assess the software reliability, the number of remaining faults in the software, the software release schedule, etc. In this paper, we propose a novel modeling approach for the NHPP-based software reliability models (SRMs) to describe the stochastic behavior of software fault-detection processes. The fundamental idea is to apply the equilibrium distribution to the fault-detection time distribution. We study the equilibrium distribution properties in software reliability modeling and compare the resulting NHPP-based SRMs with the existing ones.