| 带负顾客的Geom/Geom/1单重休假排队(英文) |
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| 引用本文： | 贾松芳,陈彦恒.带负顾客的Geom/Geom/1单重休假排队(英文)[J].应用数学,2012,25(2):304-310. |
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| 作者姓名： | 贾松芳 陈彦恒 |
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| 作者单位： | 重庆三峡学院数学与统计学院,重庆,404100 |
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| 基金项目： | Supported by the Natural Science Foundation of Chongqing Municipal Education Commission(KJ111107);the Youth Foundation of Chongqing Three Gorges University(11QN-26) |
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| 摘 要： | 本文研究了正负顾客到达均服从几何分布,服务台在工作休假期以较低的服务速率运行的 Geom/Geom/1休假排队.运用嵌入马尔科夫链和矩阵分析法,得到了系统中等待队长和稳态队长的概率母函数,并从证明过程和结果中,分别得到了服务台在闲期、忙期、工作休假期、正规忙期的概率.
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| 关 键 词： | 离散时间排队 单重工作休假 负顾客 |
The Geom/Geom/1 Queue with Negative Customers and Single Working Vacation |
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| JIA Songfang
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CHEN Yanheng.The Geom/Geom/1 Queue with Negative Customers and Single Working Vacation[J].Mathematica Applicata,2012,25(2):304-310. |
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| Authors: | JIA Songfang CHEN Yanheng |
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| Institution: | (College of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou 404100,China) |
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| Abstract: | In this paper,we analyze a discrete time Geom/Geom/1 queue with geometrical arrivals of both positive and negative customers in which the server works at a lower rate during working vacation.Using embedded Markov chain and the matrix analysis solution method,we derive the probability generating function(PGF) of the number of customers waiting in the system and stationary queue length.From the process of the proof and the results,we also obtain the probabilities that the server is idle,busy,in working vacation and in regular busy period,respectively. |
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| Keywords: | Discrete time queue Single working vacation Negative customers |
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