| 具有二次可选服务的多重休假Geom/G/1离散排队 |
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| 引用本文： | 赵媛,田乃硕,原小娟,靳晓青,宁小虎.具有二次可选服务的多重休假Geom/G/1离散排队[J].山东大学学报(理学版),2011,46(1):104-108. |
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| 作者姓名： | 赵媛 田乃硕 原小娟 靳晓青 宁小虎 |
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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 |
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| 摘 要： | 通过引入广义服务时间,用嵌入Markov链的方法研究了具有二次可选服务的多重休假Geom/G/1排队模型,得到了其稳态队长和等待时间分布的母函数,并给出了该模型的两个特例,进一步验证了模型的正确性,最后通过数值例子说明该模型可以较好地模拟一些实际问题。
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| 关 键 词： | 离散时间排队 多重休假 二次可选服务 广义服务时间 |
The Geom/G/1 queue with second optional service and multiple vacation |
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| ZHAO Yuan,TIAN Nai-shuo,YUAN Xiao-juan,JIN Xiao-qing,NING Xiao-hu.The Geom/G/1 queue with second optional service and multiple vacation[J].Journal of Shandong University,2011,46(1):104-108. |
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| Authors: | ZHAO Yuan TIAN Nai-shuo YUAN Xiao-juan JIN Xiao-qing NING Xiao-hu |
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| Institution: | ZHAO Yuan,TIAN Nai-shuo,YUAN Xiao-juan,JIN Xiao-qing,NING Xiao-hu(College of Science,Yanshan University,Qinhuangdao 066004,Hebei,China) |
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| Abstract: | By leading into broad sense service time and using the method of imbedded Markov chains,the Geom/G/1 queue with second optional service and multiple vacation was studied.The PGF(probability generating function) of the steady state queue length and waiting time were derived.And then two particular models were given to further verify the correctness of the model.Finally,numerical examples proved that our model could reasonably represent some practical problems. |
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| Keywords: | discrete-time queues multiple vacation second optional service broad sense service time |
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