| 闭排队网络中性能势与无穷小实现因子之间的关系 |
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| 引用本文： | 殷保群,代桂平,奚宏生,杨孝先.闭排队网络中性能势与无穷小实现因子之间的关系[J].高校应用数学学报(英文版),2002,17(4):458-464. |
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| 作者姓名： | 殷保群 代桂平 奚宏生 杨孝先 |
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| 作者单位： | [1]Dept.ofAutomation,Univ.ofScienceandTechnologyofChina,Hefei230026,China [2]Dept.ofMath.,Univ.ofScienceandTechnologyofChina,Hefei230026,China |
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| 基金项目： | the National Natural Science Foundation of China(699740 37)，the National High
Performance Computing Foundation of China (0 0 2 12 ) |
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| 摘 要： | In this paper,the concept of the infinitesimal realization factor is extended to the parameter-dependent performance functions in closed queueing networks. Then the concepts of realization matrix (its elements are called realization factors) and performance potential are introduced,and the relations between infinitesimal realization factors and these two quantities are discussed. This provides a united framework for both IPA and non IPA approaches. Finally,another physical meaning of the service rate is given.
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| 关 键 词： | 闭排队网络 性能势 功能函数 无穷小实现因子 |
| 收稿时间： | 29 March 2002 |
Relations between performance potentials and infinitesimal realization factors in closed queueing networks |
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| Baoqun Yin,Guiping Dai,Hongsheng Xi,Xiaoxian Yang.Relations between performance potentials and infinitesimal realization factors in closed queueing networks[J].Applied Mathematics A Journal of Chinese Universities,2002,17(4):458-464. |
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| Authors: | Baoqun Yin Guiping Dai Hongsheng Xi Xiaoxian Yang |
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| Institution: | (1) Dept. of Automation, Univ. of Science and Technology of China, 230026 Hefei, China;(2) Dept. of Math., Univ. of Science and Technology of China, 230026 Hefei, China |
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| Abstract: | In this paper,the concept of the infinitesimal realization factor is extended to the parameter dependent performance functions in closed queueing networks.Then the concepts of realization matrix (its elements are called realization factors) and performance potential are introduced,and the relations between infinitesimal realization factors and these two quantities are discussed.This provides a united framework for both IPA and non IPA approaches.Finally,another physical meaning of the service rate is given. |
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| Keywords: | closed queueing networks performance function performance potential realization matrix infinitesimal realization factor |
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