| 带启动期的Geom/Geom/1可中止工作休假排队 |
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| 引用本文： | 潘小春,朱翼隽. 带启动期的Geom/Geom/1可中止工作休假排队[J]. 河南科技大学学报(自然科学版), 2011, 32(2): 63-67,111 |
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| 作者姓名： | 潘小春 朱翼隽 |
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| 作者单位： | 江苏大学理学院,江苏镇江,212013 |
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| 基金项目： | 国家自然科学基金项目(70571030,10571076) |
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| 摘 要： | 考虑带关闭和启动期的休假可中止的Geom/Geom/1单重工作休假排队。服务员在休假期间并未完全停止工作而是以较低的速率为顾客服务。运用拟生灭链和矩阵几何解方法给出了该模型的稳态队长和逗留时间的概率母函数,并证明了队长和逗留时间的随机分解结构,可将所得到的结果用于光纤通信系统中网关路由器的性能分析。
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| 关 键 词： | 工作休假 休假可中止 关闭和启动期 拟生灭链 矩阵几何解 |
Geom/Geom/1 Single-working Vacation Queue with Set-up Period and Vacation Interruption |
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| PAN Xiao-Chun,ZHU Yi-Jun. Geom/Geom/1 Single-working Vacation Queue with Set-up Period and Vacation Interruption[J]. Journal of Henan University of Science & Technology:Natural Science, 2011, 32(2): 63-67,111 |
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| Authors: | PAN Xiao-Chun ZHU Yi-Jun |
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| Affiliation: | PAN Xiao-Chun,ZHU Yi-Jun (Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
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| Abstract: | The Geom/Geom/1 single-working vacation queue with set-up period and vacation interruption was considered.The server serves customers at a lower rate during the working vacation rather than stops serving customers.Using quasi-birth-death chain and matrix-geometric solution method,the probability generating function for queue size and sojourn time was obtained.Additionally,the structure of stochastic decomposition of the queue size and the sojourn time was proved.The obtained results can be applied in analys... |
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| Keywords: | Working vacation Vacation interruption Close-down and set-up period Quasi birth and death chain Matrix-geometric solution |
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