Modeling and Performance Evaluation of Base-Stock Controlled Assembly Systems

In this work, we are interested in base-stock controlled assembly systems. We consider production systems, realizing an assembly operation between components. In a previous work, we defined precisely how the base-stock mechanism can be applied in the case of assembly systems, then we proposed a queueing network model for base-stock controlled assembly systems and we established some properties for this model. In this paper, we propose an analytical technique for performance evaluation of base-stock controlled assembly systems, based on a decomposition method. This analytical method provides steady-state performance measures, like the probability of immediately satisfying a demand, the average number of backordered demands, the average number of finished products, etc. It can be applied for systems assembling any number of components and containing any number of stages in series after the assembly operation.