Modeling a Class of Flexible Manufacturing Systems with Reversible Routing

We model a flexible manufacturing system (FMS) as a closed queueing network with a set of stations, each with a local buffer of limited capacity. Based on the theory of reversibility as well as some known approaches in the studies of queueing networks with finite buffers, we derive product-form solutions to a class of such FMS networks that have reversible parts routing (a system with a centralized material handling station being one example). This class also includes a certain type of dynamic routing scheme. For systems with zero-buffer stations, we show that the solutions have product form even for nonexponential processing times.