带有阈值转换和启动时间的优先权排队

在诸如ＩＳＤＮ的通信网络中，多种信息共用一条线路，为了满足不同类型信息的服务质量要求，带有阈值转换的优先权排队系统应是一种合适的模型。本文研究单服务员、两类顾客的带有阈值转换和启动时间的优先权排队系统，首先，分别就抢占和非抢占情形讨论了具有泊松到达、服务时间和启动时间均有指数贩系统，然后就非抢占情况进上步考虑了服务时间和启动时间有一般分布的系统，求出了系统中两类顾客队长的稳态联合概率母函数，藉助这

Priority Queues with Threshold Switching and Setup Time

In the broadband integrated service digital network various kinds of traffic such as video, audio and data are multiplexed into one stream. In order to meet the quality of service requirement for different irces of traffic, the priority queue model with threshold switching seems appropriate for this purpose. Moreover in many studies one have to consider some kind of setup times before starting a busy period and/or before switching service from one class to the other. In present paper, we propose and analyze a singleserver two-queue priority system with setup time and threshold switching. At first, for the case of Poisson arrivals, exponential service times and setup times, preemptive and non-preemptive service are discussed, respectively. And then the case of general service times and setup times for non-preemptive service is further studied. When the system is steady the joint probability generating functions of the lengths of two queues are obtained. We can use these generating functions to calculate performance measures of the system, for example, the mean queue lengths, and then by means of Little formula, the mean delay can be computed.