Probability of first passage analysis of a two-stage transfer-line production system with storage and rework

In this paper, we study some of the transient state characteristics of a two-stage transfer-line production system subject to an initial storage of unlimited capacity and reworking the defective products in the respective stages. This paper provides a complete analysis to consider manufacturing, inspection and reworking in two-stage transfer-line production systems. The first stage of the system is never starved and the second stage is never blocked. A stochastic model is developed to analyse the system and explicit analytical expressions for some of the system characteristics have been obtained using the state space method and regeneration point technique. All the random variables involved in the analysis are assumed to be arbitrary (general)