| 带单重工作休假和休假中断的Geo^x／Geo／1排队 |
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| 引用本文： | 贾礼君,刘春平,徐秀丽,刘雷.带单重工作休假和休假中断的Geo^x／Geo／1排队[J].郑州大学学报(自然科学版),2011(3):1-5. |
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| 作者姓名： | 贾礼君 刘春平 徐秀丽 刘雷 |
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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10671106;河北省自然科学基金资助项目,编号F2008000864;燕山大学博士基金资助项目,编号B228. |
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| 摘 要： | 分析了带休假中断的成批到达的单重工作休假Geo^x／Geo／1排队系统．针对具体的系统模型，利用拟生灭过程和迭代方程，得到系统的稳态队长分布，从而得到系统的平均稳态队长以及随机分解结果．利用负二项式分布的性质，讨论了顾客等待时间的上下界，进而求得平均等待时间的上下界．最后进行了数值分析，考察了系统参数变化对平均队长和平均等待时间的影响．
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| 关 键 词： | Geo^x／Geo／1排队系统 单重工作休假 成批到达 休假中断 |
Analysis of Geo^X/Geo/1 Queue with Single Working Vacations and Vacation Interruptions |
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| JIA Li-jun,LIU Chun-ping,XU Xiu-li,LIU Lei.Analysis of Geo^X/Geo/1 Queue with Single Working Vacations and Vacation Interruptions[J].Journal of Zhengzhou University (Natural Science),2011(3):1-5. |
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| Authors: | JIA Li-jun LIU Chun-ping XU Xiu-li LIU Lei |
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| Institution: | ( College of Science, Yanshan University, Qinhuangdao 066004, China) |
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| Abstract: | A bulk input Geo^X/Geo/1 queue with single working vacations and vacation interruptions was analyzed. Firstly, using quasi birth and death chain and iteration method, distributions of stationary queue length were obtained, and the stochastic decomposition result for the PGF of the stationary queue size was given. Furthermore, the upper bound and the lower bound of the sojourn time of a customer was discussed with the property of negative binomial, and the PGF was given. Finally, some numerical analyses were carried out. and the narameters＇ effect on the queue length and waiting time was investigated. |
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| Keywords: | Geo^X/Geo/1 queue single working vacation bulk input vacation interruption |
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