| 带启动-关闭期的多重休假M/G/1排队系统的队长分布 |
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| 引用本文： | 蒲会,唐应辉.带启动-关闭期的多重休假M/G/1排队系统的队长分布[J].数学的实践与认识,2011,41(10). |
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| 作者姓名： | 蒲会 唐应辉 |
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| 作者单位： | 1. 四川师范大学数学与软件科学学院,四川成都,610066
2. 四川师范大学数学与软件科学学院,四川成都610066;四川师范大学基础教学学院,四川成都610066 |
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| 基金项目： | 国家自然科学基金，教育部高校博士点专项基金 |
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| 摘 要： | 研究带启动—关闭期的多重休假M/G/1排队系统,讨论了队长的瞬态和稳态性质.通过引进的"服务员忙期"和使用全概率分解技术,导出了在任意时刻t队长的瞬态分布的L变换的递推表达式和稳态队长分布的递推表达式,以及稳态队长的随机分解结果.
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| 关 键 词： | 多重休假 启动 关闭 队长分布 全概率分解技术 |
The Queue-Length Distribution For M/G/1 Queueing System with Startup -Close Periods and Multiple Vacations |
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| PU hui,TANG Ying-hui.The Queue-Length Distribution For M/G/1 Queueing System with Startup -Close Periods and Multiple Vacations[J].Mathematics in Practice and Theory,2011,41(10). |
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| Authors: | PU hui TANG Ying-hui |
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| Institution: | PU hui~1,TANG Ying-hui~(1,2) (1.School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066 China) (2.School of Fundamental Education,Chengdu 610066 China) |
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| Abstract: | In this paper the M/G/1 queueing system with startup-close periods and multiple vacations is considered.We study the transient and equilibrium properties of the queuelength. By introducing the server busy period and using the total probability decomposition technique,we derive the recursion expression of the L-transformation of the transient queue-length distribution at any time t,and also the recursion expressions of the distribution and stochastic decomposition of the queue-length at a random point in equ... |
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| Keywords: | multiple vacation startup close queue-length distribution total probability decomposition technique |
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