On Hybrid Re-manufacturing Systems: A Matrix Geometric Approach

摘要

In this paper, we propose a model for hybrid re-manufacturing system. The system consists of both manufacturing and re-manufacturing processes. There are two types of inventory to be managed in the system: the returns and the serviceable product. The serviceable product is controlled by an (s, S) continuous review policy. We assume the arrival processes of demands and returns follow a Poisson process and there is no rejection of returns from the system. The outside procurement for the serviceable product is also allowed when there is shortage. The hybrid system is then modeled by an Markovian queueing network. Matrix geometric method is applied to analyze the resulting queueing network and we derive the average system running cost in terms of the steady-state probability distribution. A quasi-optimization problem is then formulated for obtaining the optimal procurement size.