The Solution of Queueing and Inventory Models by Semi-Markov Processes
用半马尔可夫过程求解排队与库存模型
SUMMARY In this paper we set forth an approach to queueing and inventory problems which is based on the theory of semi-Markov processes. The method is applicable to a wide variety of models in continuous or discrete time. After developing two basic theorems, we illustrate the method by determining the limiting distribution of a “batch service” queue, in which K customers are always served at a time. The batch service queue is also shown to be equivalent to a classical…