中文摘要：

为了解决现实生产生活中的具有两阶段服务性质的休假排队问题，利用马尔可夫过程理论建立系统稳态概率方程组，并利用分块矩阵解法，得到了稳态概率的矩阵解。由此得出系统的平均队长、平均等待队长等性能指标。该成果对解决两阶段服务排队模型具有重要的理论意义和应用价值。

英文摘要：

In order to solve the vacation queue problems with a two-phase of service in real-life production,the equations of steady-state probability were derived by applying the Markov process theory in this study.Subsequently,the matrix form solution of steady-state probability was found by using block matrix method.Furthermore,some performance measures of the system,such as the expected number of customers in the system and the expected number of customers in the queue,were also obtained.The study on the queuing systems with two-phase of service is of theoretical significance and application value.