| 一类具有到达损失、可选服务、反馈的M/G/1重试排队系统 |
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| 引用本文： | 刘大瑾,王晓春,朱翼隽. 一类具有到达损失、可选服务、反馈的M/G/1重试排队系统[J]. 大学数学, 2009, 25(2) |
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| 作者姓名： | 刘大瑾 王晓春 朱翼隽 |
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| 作者单位： | 南京理工大学,泰州科技学院,基础部,江苏,泰州,225300;江苏大学,理学院,江苏,镇江,212013 |
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| 摘 要： | 考虑一个具有到达损失、可选服务、反馈的M/G/1重试排队系统.在假定重试区域中顾客具有相互独立的指数重试时间的情况下,得到了系统的转移概率矩阵和系统稳态的充分必要条件.列出微分方程,求得稳态时系统队长和重试区域中队长分布及相关指标.
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| 关 键 词： | 重试排队 可选服务 反馈 M/G/1排队 |
A M/G/1 Queueing System with Loss of Arrival,Additional Phase of Service and Feedback |
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| LIU Da-jin,WANG Xiao-chun,ZHU Yi-jun. A M/G/1 Queueing System with Loss of Arrival,Additional Phase of Service and Feedback[J]. College Mathematics, 2009, 25(2) |
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| Authors: | LIU Da-jin WANG Xiao-chun ZHU Yi-jun |
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| Affiliation: | 1.Taizhou Institute of Technology;Nanjing University of Science and Technology;Taizhou;Jiangsu 225300;China;2.Faculty of Science;Jiangsu University;Zhenjiang Jiangsu 212013;China |
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| Abstract: | A M/G/1 retrial queue with loss of arrival,additional phase of service and feedback is considered.For an enponential retrial time,the necessary and sufficient condition for the system stability is obtained,assuming that only the customer at the head of the orbit has priority access to the server.The steady-state distributions of the number of customers in the system and the orbit are obtained along with other performance measures. |
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| Keywords: | retrial queue additional service feedback M/G/1 queue |
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