| 延迟启动-关闭型的N-策略M/G/1排队系统队长分布 |
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| 引用本文： | 刘名武,马永开. 延迟启动-关闭型的N-策略M/G/1排队系统队长分布[J]. 系统工程学报, 2010, 25(1). DOI: 10.3969/j.issn.1000-5781.2010.01.018 |
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| 作者姓名： | 刘名武 马永开 |
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| 作者单位： | 电子科技大学经济与管理学院,四川,成都,610054 |
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| 基金项目： | 教育部新世纪优秀人才支持计划资助项目 |
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| 摘 要： | 研究服务台具有延迟启动和延迟关闭的N-策略M/G/1排队系统,利用全概率分解技术,导出了任意时刻t瞬态队长分布的Laplace变换的递推关系式,进一步得到稳态队长分布的递推式以及平稳队长分布的随机分解.最后进行了数值实验,并考察了稳态队长分布以及附加队长分布的统计性质.
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| 关 键 词： | N-策略排队 启动 关闭 随机分解 |
Queue-length distribution for M/G/1 queueing system under N-policy with hysteretic startup and closedown |
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| LIU Ming-wu,MA Yong-kai. Queue-length distribution for M/G/1 queueing system under N-policy with hysteretic startup and closedown[J]. Journal of Systems Engineering, 2010, 25(1). DOI: 10.3969/j.issn.1000-5781.2010.01.018 |
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| Authors: | LIU Ming-wu MA Yong-kai |
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| Affiliation: | LIU Ming-wu,MA Yong-kai(School of Management , Economics,University of Electronic Science , Technology of China,Chengdu 610054,China) |
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| Abstract: | This paper studies the M/G/1 queueing system under N-policy with hysteretic startup and closedown.By the total probability decomposition technique,the paper derives the recursive expressions of the Laplace transformation of the transient queue-length distribution at any time t,the expressions of the distribution of steady-state queue-length,and the stochastic decomposition of the queue-length at a random point in equilibrium.Finally,the statistical properties of steady-state queue-length distribution and ad... |
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| Keywords: | N-policy queue startup close down stochastic decomposition |
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