Modelling and analysis of split and merge production systems with Bernoulli reliability machines

Many production systems have split and merge operations to increase production capacity and variety, improve product quality, and implement product control and scheduling policies. In this paper, we present analytical methods to model and analyse Bernoulli split and merge production systems with circulate, priority and percentage split/merge policies. The recursive procedures for performance analysis are derived, the convergence of the procedures and uniqueness of the solutions, along with the structural properties, are proved, and the accuracy of the estimation is justified with high precision.