Uncertain differential equation based software belief reliability growth model (SBRGM) considering software patching

Software reliability plays a vital role in the today's world as dependency on software system increases day by day. To determine reliability, various software reliability growth models have been proposed within the context of probability theory. Software failures include uncertainty, which is unable to represent completely by using probability theory. Further, software companies release their product early and then release the patch after sometime to remove the remaining number of the faults in the software. In this paper, we have developed a generalised testing cost model based on uncertainty theory by considering fault detection process and correction process as two-step process and investigate the software release, patch release time and belief reliability to minimise the testing cost. Numerical illustration is given to support the proposed model and validated on a real data set.