论文标题
具有不同优先级的排队入口系统的稳定性
Stability of queueing-inventory systems with different priorities
论文作者
论文摘要
我们研究了一个具有不同优先级的客户课程的生产供应系统，这些系统在灵活的入学控制方案后被接纳为该系统。库存管理是根据基本的股票政策和到达需求，发现库存耗尽的损失（销售损失）。我们分析了关联的马尔可夫过程的全局平衡方程，并得出了稳态分布的结构特性，这些方程提供了对系统平衡行为的见解。我们使用Foster-Lyapunov稳定性标准得出了足够的终身制条件。对于特殊情况，我们表明条件也是必要的。
We study a production-inventory system with two customer classes with different priorities which are admitted to the system following a flexible admission control scheme. The inventory management is according to a base stock policy and arriving demand which finds the inventory depleted is lost (lost sales). We analyse the global balance equations of the associated Markov process and derive structural properties of the steady state distribution which provide insights into the equilibrium behaviour of the system. We derive a sufficient condition for ergodicity using the Foster-Lyapunov stability criterion. For a special case we show that the condition is necessary as well.
