Flow analysis of discrete event systems with shared resource intersection structure

In the discrete event system such as a flexible manufacturing system, many kinds of work exist together in one system. Each processing is done by the shared resource. The flow of each work mutually becomes an intertwining net structure. The shared resource will be occupied when congestion occurs by the flow of a certain work, it influences the flow of other work, it generates new congestion, and it spreads to the entire system. As a result, it falls into the situation where processing stagnates in the entire system. Therefore, controlling so as not to cause congestion in the flow of each work is indispensable. However, because it differs from single flow, and the bottleneck of the flow of each work changes by the ability distribution to each work in the shared resource, it becomes very complex. Then, the authors propose the approach for achieving the entire flow analysis for the discrete event system with the net structure and the shared resource intersection, by deriving the relational expression of I/O of which the parameter is the ability distribution of one shared resource to each flow, and connecting this one by one. And, the application to the control that improves the performance of the system is examined.