经典Geo/Geo/1排队系统的模型中引入工作休假和二次可选服务,研究了具有二次可选服务的Geo/Geo/1多重工作休假排队模型.针对具体的系统模型建立了二维Markov链,使用矩阵几何解的方法,得到系统的稳态队长和逗留时间的分布以及随机分解结果,给出了该模型对应的两个特例,并在最后给出了数值分析的结果.

Working vacation and second optional service are introduced in the classical Geo/Geo/1 queue system. A Geo/Geo/1 queue with multiple working vacations and second optional service is considered. A two-dimensional  Markov chain model is established for the specific model, and by using the matrix-geometric
 solution method, the steady-state distribution of the queue length and sojourn time   are obtained. Moreover, the stochastic decomposition results of the queue length   and sojourn time are investigated, and two particular models are given.   Finally, several numerical examples a re presented.