| 带单重工作休假和休假中断的M/G/1排队系统 |
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| 引用本文： | 卢国云,徐秀丽,王继利,刘春平.带单重工作休假和休假中断的M/G/1排队系统[J].郑州大学学报(理学版),2011(3). |
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| 作者姓名： | 卢国云 徐秀丽 王继利 刘春平 |
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| 作者单位： | 燕山大学理学院; |
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| 基金项目： | 国家自然科学基金资助项目,编号10671170; 河北省自然科学基金资助项目,编号F2008000864 |
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| 摘 要： | 研究单重工作休假和休假中断的M/G/1排队系统,得到了其嵌入Markov链的转移概率矩阵,采用M/G/1型结构矩阵解析法,得到离去时刻稳态队长的母函数的解析表达式.采用经典随机分解方法,给出了队长的条件随机分解结构、条件等待时间的随机分解结果、稳态等待时间的LST变换及稳态下平均等待时间等性能指标.给出数值例子,并讨论了系统参数对几个主要性能指标的影响,从而验证了理论分析的合理性和有效性.
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| 关 键 词： | 单重工作休假 休假中断 M/G/1型矩阵 随机分解 |
M/G/1 Queue with Single Working Vacation and Vacation Interruption |
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| LU Guo-yun,XU Xiu-li,WANG Ji-li,LIU Chun-ping.M/G/1 Queue with Single Working Vacation and Vacation Interruption[J].Journal of Zhengzhou University:Natural Science Edition,2011(3). |
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| Authors: | LU Guo-yun XU Xiu-li WANG Ji-li LIU Chun-ping |
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| Institution: | LU Guo-yun,XU Xiu-li,WANG Ji-li,LIU Chun-ping(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | An M/G/1 queue system with a single working vacation and working interruption was studied.An M/G/1-type transition probability matrix of the embedded Markov chain was obtained.And using the M/G/1-type matrix analysis method,the PGF of the stationary queue length for the customers at departure epochs was derived.By the classic stochastic decomposition solution,the stochastic decomposition results of the stationary queue length and the conditional waiting time were presented.And some performance measures of t... |
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| Keywords: | single working vacation vacation interruption M/G/1-type matrix stochastic decomposition |
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