| 带启动期，关闭期和服务台不可靠的双阀门休假策略的M／G／1排队 |
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| 引用本文： | 曾慧,马明建.带启动期，关闭期和服务台不可靠的双阀门休假策略的M／G／1排队[J].石家庄铁道学院学报,2008,21(1):43-46. |
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| 作者姓名： | 曾慧 马明建 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 摘 要： | 主要研究了带启动期，关闭期M／G／1排队系统，在这个系统中，采用修正NT策略的休假策略，而且服务台在工作期间以参数为α的泊松分布发生故障，随即进行时间长度服从一般分布的后台修理，修理结束后接续刚才中断的服务。利用嵌入马尔可夫过程，得出了系统的稳态队长的母函数，等待时间的LST，平均忙期，平均闲期和平均忙循环。
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| 关 键 词： | 修正NT-策略 不可靠 稳态分布 忙循环 |
| 文章编号： | 1674-0300(2008)01-0043-04 |
| 修稿时间： | 2007年11月6日 |
Two-Threshold Vacation Policy in M/G/1 Queuing with Startup,Shutdown and Unreliable Server |
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| Zeng Hui,Ma Mingjian.Two-Threshold Vacation Policy in M/G/1 Queuing with Startup,Shutdown and Unreliable Server[J].Journal of Shijiazhuang Railway Institute,2008,21(1):43-46. |
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| Authors: | Zeng Hui Ma Mingjian |
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| Institution: | (College of Science, Yanshan University, Qinhuangdao 066004, China) |
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| Abstract: | We considered an M/G/1 queuing with startup and shutdown. In this system, the queue adopts a two threshold vacation policy which is called modified NT vacation policy, and the server is unreliable and may breakdown with Possion breakdown rate α when it is working. The server continues the interrupted service after it is repaired, and the repair time is generally distributed. Using the embedded Markov process, we obtain the stationary p. d. f of queue length, LST of waiting time, expected busy period, expected idle period and expected busy cycle. |
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| Keywords: | modifies NT policy unreliable server stationary distribution busy cycle |
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