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中文摘要：
针对空竭服务多重工作休假中服务台在假期以较低的速率服务顾客,而非完全停止工作,其中负顾客只起一对一的抵消队尾正顾客作用,并不多做停留的情况,通过将负顾客和工作休假引入到离散时间排队模型中,运用嵌入马氏链方法,给出了四对角线结构的转移概率矩阵,并利用一元三次方程求根方法得出率阵R的解析表达式,接着运用矩阵几何解法得到了系统平衡条件和分布,进而求出系统队长稳态分布的随机分解,进一步拓展了多重工作休假离散时间的排队模型.
英文摘要：
Concerning that the server works at a lower rate rather than completely stop service during the exhaustive service and multiple working vacations, where the negative customer only removes the positive customer one by one at the end, and by introducing the negative customers and multiple working vacations into discrete-time queue, the method of embed Markov chains is used. The transition probability of diagonal matrix and the solution of rate matrix R are obtained by the formula of extracting roots on cubic equation. After that the system equilibrium conditions and distributions and the stochastic decomposition of the queue length under the steady-state distributions in the system are reached. Finally the multiple working vacations in discrete-time queuing models are further extended.
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