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带有中途退出的M/M/1单重工作休假排队系统
引用本文:徐刚.带有中途退出的M/M/1单重工作休假排队系统[J].河北科技师范学院学报,2012(2):22-25,80.
作者姓名:徐刚
作者单位:东北石油大学秦皇岛分校,河北秦皇岛 066004
摘    要:研究了带有中途退出的M/M/1单重工作休假排队系统。利用平衡方程和母函数,得出了忙期和工作休假期的平均队长等性能指标的解析表达式。通过数值算例考察了两个服务率对系统性能指标的影响。

关 键 词:排队系统  工作休假  退出  母函数  平均队长

The M/M/1 Queuing System with Reneging and Single Working Vacation
XU Gang.The M/M/1 Queuing System with Reneging and Single Working Vacation[J].Journal of Hebei Normal University of Science & Technology,2012(2):22-25,80.
Authors:XU Gang
Institution:XU Gang (Northeast Petroleum University at Qinhuangdao, Qinhuangdao Hebei ,066004, China)
Abstract:In this paper, we study an M/M/1 queuing system with reneging and single working vacation. Some performance measures of the system such as the mean queue sizes in the busy period and in the working vaca- tion period were derived by using generating, functions. The effects of the two service rates on the system per- formance measures were investigated by numerical experiment.
Keywords:queuing system  working vacation  reneging  generating function  mean queue size
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