Abstract
In this paper, we obtain the transient solution of probabilities of error in the software, mean number of faults and the expected number of failures remaining at time t, under the assumption that the number of faults is finite, the failure rate is proportional to the number of faults present in the software at any time, debugging is imperfect and error generation will never lead the software to have infinite errors. Moreover, the software is tested by two servers with the first M errors being debugged by first server and the remaining errors (M+ 1≤n≤ N) by the second server. Also, when a failure occurs, instantaneously repair starts with the following probabilities:(a)The fault content is reduced by one by the first (second) server with probability μ1( μ2), μ2 ≥μ1 (b)The fault content remains unchanged with probability Ψ (c)The fault content is increased by one by the first (second) server with probability λ1(λ2), λ1≥(λ2) where