CAJ | 학술논문

讨论了Geo/Geo/1抢占优先权排队模型，该模型可以用一个具有可数位相的拟生灭(QBD)过程来描述。对该过程，首先给出率算子以及联合平稳分布的结果。在此基础上，进一步得到了平稳状态时低优先权顾客数分布的概率母函数，并证明低优先权顾客数可以分解为两个相互独立的随机变量之和。
토론료Geo/Geo/1창점우선권배대모형，해모형가이용일개구유가수위상적의생멸(QBD)과정래묘술。대해과정，수선급출솔산자이급연합평은분포적결과。재차기출상，진일보득도료평은상태시저우선권고객수분포적개솔모함수，병증명저우선권고객수가이분해위량개상호독립적수궤변량지화。
A Geo/Geo/1 queue that handles arrivals form 2 classes of customers on a preemp-tive priority basis is considered. The queue model can be described in a quasi-birth-and-death (QBD) process with infinitely many phases. For the QBD process, the results for rate operator and joint stationary distribution are given firstly. Furthermore, the probability generating function of station-ary queue length for lower-priority customers is obtained and the property that queue length can be decomposed into the sum of two independent random variables is proved.