多优先级轮询模型
A Polling Model with Multiple Priority Levels
摘要：
在本文中，我们考虑一个单服务器循环轮询系统。在访问连续的队列之间，服务器会延迟一个随机的切换时间。在每个队列中为客户提供服务的顺序由在其到达时分配给每个客户的优先级确定。对于这种情况，考虑以下服务规程：门控、穷举和全局门控。我们研究的周期时间分布，等待时间为每个客户类型，联合队列长度分布的所有优先级在所有队列在轮询时期，和稳态边际队列长度分布为每个客户类型。
英文摘要：
In this paper we consider a single-server cyclic polling system. Between visits to successive queues, the server is delayed by a random switch-over time. The order in which customers are served in each queue is determined by a priority level that is assigned to each customer at his arrival. For this situation the following service disciplines are considered: gated, exhaustive, and globally gated. We study the cycle time distribution, the waiting times for each customer type, the joint queue length distribution of all priority classes at all queues at polling epochs, and the steady-state marginal queue length distributions for each customer type.
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