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| M/M/1/N单重工作休假排队系统的性能分析 | |
| 引用本文： | 樊剑武,赵晓华,李旭红,李秀菊.M/M/1/N单重工作休假排队系统的性能分析[J].四川理工学院学报(自然科学版),2009,22(3):113-116. |
| 作者姓名： | 樊剑武 赵晓华 李旭红 李秀菊 |
| 作者单位： | 1. 燕山大学里仁学院,河北,秦皇岛,066004 2. 燕山大学理学院,河北,秦皇岛,066004 3. 中原工学院理学院,郑州,450000 |
| 摘 要： | 研究了一个M/M/1/N单重工作休假排队系统。服务员在假期中以较低的速率服务顾客而非停止工作。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的消失概率等性能指标。最后通过数值例子分析了系统的参数,休假时的工作率μ和休假率θ对平均等待队长以及顾客消失概率的影响。 |
| 关 键 词： | 排队系统 稳态概率 性能指标 矩阵解法 单重工作休假 |
Performance Analysis of the M/M/1/N Queuing System with Single Working Vacation |
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| FAN Jian-wu,ZHAO Xiao-hua,LI Xu-hong,LI Xiu-ju.Performance Analysis of the M/M/1/N Queuing System with Single Working Vacation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(3):113-116. | |
| Authors: | FAN Jian-wu ZHAO Xiao-hua LI Xu-hong LI Xiu-ju |
| Institution: | 1.Liren College;Yanshan University;Qinhuangdao 066004;China;2.College of Science;3.College of Science;Zhongyuan University of Technology;Zhengzhou 450000;China |
| Abstract: | An M/M/1/N queuing system was considered with single working vacation.The server works at a lower rate rather than completely stops service during the vacation period.First,the matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method.Some performance measures of the system such as the expected number of customers in the system and in the queue and the loss probability of the customer were also presented.Finally the effect of the parameters... |
| Keywords: | queuing system steady-state probability performance measures matrix solution method single working vacation |
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