| M/G/1排队系统的性能灵敏度分析 |
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| 引用本文： | 殷保群,奚宏生,周亚平.M/G/1排队系统的性能灵敏度分析[J].高校应用数学学报(A辑),2001,16(2):235-242. |
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| 作者姓名： | 殷保群 奚宏生 周亚平 |
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| 作者单位： | 中国科学技术大学 自动化系, |
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| 基金项目： | 国家自然科学基金!(699740 37)，国家高性能计算基金! (合肥 ) |
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| 摘 要： | 非Markov型排除系统经常被用来作为某些实际工程问题（如通讯网络）的研究模型，对于一般的M／G／1排队系统，本文通过研究其嵌入Markov链，讨论了系统的稳态性能灵敏度分析问题，并给出用嵌入Markov链的势能表示的稳态性能灵敏度公式，由于嵌入Markov链要比描述其系统状态的半Markov过程简单得多，故本文的结果对M／G／1排队系统的性能灵敏度仿真计算及系统的优化，都将带来极大的方便。
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| 关 键 词： | M／G／1排队系统 稳性性能 灵敏度分析 Markov链 势理论 非Markov型排队系统 |
| 文章编号： | 1000-4424(2001)02-0235-08 |
| 修稿时间： | 2000年11月6日 |
SENSITIVITY ANALYSIS OF PERFORMANCEFOR M/G/1 QUEUEING SYSTEMS |
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| Yin Baoqun,Xi Hongsheng,Zhou Yaping.SENSITIVITY ANALYSIS OF PERFORMANCEFOR M/G/1 QUEUEING SYSTEMS[J].Applied Mathematics A Journal of Chinese Universities,2001,16(2):235-242. |
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| Authors: | Yin Baoqun Xi Hongsheng Zhou Yaping |
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| Abstract: | The queueing system which is not Markov-type is often used as a model to study some practical engineering problems,for example,communication networks.In this paper,the problems of sensitivity analysis of the steady-state performance for an M/G/1 queueing system are discussed by studying its embedded Markov chain.The sensitivity formulas of the steady-state performance are given by the potentials of the embedded Markov chain.Since the embedded Markov chain is much simpler than the semi-Markov process that is used to describe the system states,the results in this paper will be very convenient for simulating computation of performance sensitivity and optimization of the system. |
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| Keywords: | M/G/1 Queueing System Potential Steady-state Performance Sensitivity Analysis |
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