具有强占型优先权的不耐烦顾客的M/M/m/2k-m排队模型

首先给出了只有一类不耐烦顾客的M／M／m排队模型，其中顾客到达与服务都服从相互独立的泊松分布，顾客的耐心等待期限截止到服务开始前，并服从指数分布，最终得到了顾客丢失率及稳态下的队长分布。利用此结论研究了具有多个服务台，两类到达顾客的M／M／m/2k-m排队系统，其中第一类顾客对于第二类顾客具有强占型优先权，顾客的耐心等待时间即等待期限仍服从指数分布，两类顾客具有各自的等待轨道。采用矩阵分析的方法给出了两类顾客各自的稳态分布，并作了相应的性能分析。

M/M/2k-m queue with impatient customers of higher priority

The model of the M/M/m queue systems where customers have strict deadlines until the beginning of their service is given.There are queues with the state-independent Poisson arrival customer process,exponential service times,multiple servers,FCFS service discipline and exponential customer impatience.Using the obtained loss rate the M/M/2k-m queue systems where there are two-class customers are studied.By the matrix analysis the queue length distributions in the stationary state are obtained and analyzed.