| 具有反馈、不可靠服务台和二次多选择服务M/G/1重试排队系统 |
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| 引用本文： | 李江华,王金亭.具有反馈、不可靠服务台和二次多选择服务M/G/1重试排队系统[J].高校应用数学学报(英文版),2006,21(3). |
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| 作者姓名： | 李江华 王金亭 |
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| 基金项目： | BJTU Research Foundation
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教育部留学回国人员科研启动基金
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国家自然科学基金 |
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| 摘 要： |
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An M/G/1 Retrial Queue with Second Muilti-Optional Service Feedback and Unreliable Server |
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| Li Jianghua,Wang Jinting.An M/G/1 Retrial Queue with Second Muilti-Optional Service Feedback and Unreliable Server[J].Applied Mathematics A Journal of Chinese Universities,2006,21(3). |
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| Authors: | Li Jianghua Wang Jinting |
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| Abstract: | An M/G/1 retrial queue with two-phase service and feedback is studied in this paper, where the server is subject to starting failures and breakdowns during service. Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival. Otherwise, they will enter a retrial orbit and are queued in the orbit in accordance with a first-come-first-served (FCFS) discipline. Customers are allowed to balk and renege at particular times. All customers demand the first "essential"service, whereas only some of them demand the second "multi-optional" service. It is assumed that the retrial time, service time and repair time of the server are all arbitrarily distributed.The necessary and sufficient condition for the system stability is derived. Using a supplementary variable method, the steady-state solutions for some queueing and reliability measures of the system are obtained. |
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| Keywords: | retrial queues two-phase service feedback server breakdown and repair starting failures |
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