| 有不成功启动和反馈的离散时间重试排队 |
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| 引用本文： | 赵青,王金亭.有不成功启动和反馈的离散时间重试排队[J].北京交通大学学报(自然科学版),2007,31(3):72-76. |
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| 作者姓名： | 赵青 王金亭 |
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| 作者单位： | 北京交通大学,理学院,北京,100044;北京交通大学,理学院,北京,100044 |
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| 基金项目： | 国家自然科学基金
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教育部留学回国人员科研启动基金 |
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| 摘 要： | 讨论带有不成功启动和反馈的离散时间Geo/G/1重试排队,系统中顾客在完成服务之后,有一部分顾客返回重试空间等待下一个服务,另一部分顾客则离开系统.文中讨论了这个模型下的马尔可夫链和它的遍历条件,并计算出了该系统在稳态条件下的一些参数,还给出了两个随机分解法则.最后用两个例子说明了一些参数对重试空间平均队长的影响.
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| 关 键 词： | 离散时间重试排队 不可靠服务台 随机分解 反馈 |
| 文章编号： | 1673-0291（2007）03-0072-05 |
| 修稿时间： | 2006-01-09 |
A Discrete-Time Retrial Queue with Starting Failure and Feedback |
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| ZHAO Qing,WANG Jin-ting.A Discrete-Time Retrial Queue with Starting Failure and Feedback[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2007,31(3):72-76. |
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| Authors: | ZHAO Qing WANG Jin-ting |
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| Institution: | School of Science, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | We consider a discrete-time Geo/G/1 retrial queue with starting failure where all the arriving customers finish their service while only some of them returns to the orbit for another service. We study the Markov chain underlying the considered queueing system and its ergodicity condition. We present some performance measures of the system in steady-state. Then, we give two stochastic decomposition laws. Finally, some numerical examples show the influence of the parameters on several performance characteristics. |
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| Keywords: | discrete-time retrial queue unreliable server stochastic decomposition feedback |
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