M/M/1 Queueing systems with inventory

被引：0
|
作者：
Maike Schwarz
Cornelia Sauer
Hans Daduna
Rafal Kulik
Ryszard Szekli
机构：
[1] University of Hamburg,Department of Mathematics, Center of Mathematical Statistics and Stochastic Processes
[2] University of Wroclaw,undefined
[3] Mathematical Institute,undefined
来源：
Queueing Systems | 2006年 / 54卷
关键词：
Queueing systems; Inventory systems; Performance analysis; Inventory policy; Queue lengths; Service level; Inventory level; Stationary distribution; Convex ordering;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive stationary distributions of joint queue length and inventory processes in explicit product form for various M/M/1-systems with inventory under continuous review and different inventory management policies, and with lost sales. Demand is Poisson, service times and lead times are exponentially distributed. These distributions are used to calculate performance measures of the respective systems. In case of infinite waiting room the key result is that the limiting distributions of the queue length processes are the same as in the classical M/M/1/∞-system.
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页码：55 / 78
页数：23
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