| 具有成批到达和二次可选服务的Geom~x/G/1排队 |
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| 引用本文： | 赵媛,田乃硕.具有成批到达和二次可选服务的Geom~x/G/1排队[J].郑州大学学报(自然科学版),2011(1):29-32. |
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| 作者姓名： | 赵媛 田乃硕 |
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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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| 基金项目： | 国家自然科学基金资助项目 编号10671170 |
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| 摘 要： | 在经典Geom/G/1排队系统中引入成批到达和二次可选服务,研究了一个具有成批到达和二次可选服务的Geomx/G/1排队系统.通过引入广义服务时间,运用嵌入Markov链的方法研究了该排队系统的各项指标,得到了其稳态队长及等待时间分布的母函数,并给出了该模型的两个特例.
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| 关 键 词： | 离散时间排队 成批到达 二次可选服务 嵌入Markov链 广义服务时间 |
The Geomx/G/1 Queue with Batch Arrival and Second Optional Service |
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| ZHAO Yuan,TIAN Nai-shuo.The Geomx/G/1 Queue with Batch Arrival and Second Optional Service[J].Journal of Zhengzhou University (Natural Science),2011(1):29-32. |
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| Authors: | ZHAO Yuan TIAN Nai-shuo |
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| Institution: | (College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | Batch arrival and second optional service were introduced in the classical Geom/G/1 queue system.Then the queue model was built and described.By using the method of imbedded Markov chains and leading into broad sense service time,the PGF of the steady state queue length and waiting time were derived.And two particular models were given. |
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| Keywords: | discrete-time queues batch arrival second optional service imbedded Markov chains broad sense service time |
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