On the utilization of a merge production system under problem ‚make-to-order’ policy-semi-regenerative modelling

In this paper, a merge production system with two parallel stations in the first stage followed by a single station in the second stage is analysed to study the transient and steady-state behaviour of the system. The processing times on all the machines in the system follow an arbitrary distribution. A mathematical model is developed using semi-regenerative process and systems of convolution integral equations satisfied by various state probabilities corresponding to different initial conditions are obtained. An iterative munerical technique is used to solve the systems of integral equations obtained.