Analytical performance evaluation of manufacturing cells using Petri net model and moment generating function

In this paper, a manufacturing cell is represented as a generalized stochastic Petri net model. Then, by applying moment generating function based approach, the steady-state probability formulation, and accordingly, the production rate and the work-in-process of the manufacturing cell are expressed, respectively, as a symbolic function of all the timed transition rates, such as the part processing rate, the failure rate and the repair rate. Finally, the analytical results are compared with the previous research results to verify the validity of the suggested method