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。
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.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2011年第6期930-934,共5页
Journal of Liaoning Technical University (Natural Science)
基金
国家自然科学基金资助项目(71071133)
关键词
两阶段服务
服务台故障
多重休假
稳态概率
分块矩阵解法
排队系统
休假排队
马尔可夫过程
two phases of service
server breakdown
multiple vacations
steady-state probability
block matrix method
queuing system
vacation queue
Markov process
