Generalized Stochastic Petri Net Modeling and Analysis of Multi-Echelon Support System

To model and optimize multi-echelon support systems, workflow models of the support system with a classic structure of three-echelon repair and two-echelon inventory are set up based on generalized stochastic Petri net. According to various maintain processes at different levels, extended queue models with generalized queuing time concept are presented to analyze the performance equivalent time. An optimized strategy of spare parts inventory minimizes the number of backorder for units operational availability. State spaces of model are reduced and isomorphic Markov chain is constructed by the approach to analyze stochastic Petri net. Moreover, by solving probability of steady state, system performance is analyzed. Finally, a new method to calculate units operational availability is obtained.