On the Production Rate of a Merge Production System Available to Purchase

A merge production system which has parallel stations in the first stage followed by a single station in the second stage is analysed in connection with the production rate of the system. A mathematical model is developed using semi‐regenerative process and a system of convolution integral equations satisfied by various state probabilities is obtained. An iterative numerical technique is used to solve the system of integral equations obtained to evaluate the production rate of the system.