| 状态相关闭排队网络中的性能指标灵敏度公式 |
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| 引用本文： | 殷保群,周亚平,杨孝先,溪宏生,孙德敏.状态相关闭排队网络中的性能指标灵敏度公式[J].控制理论与应用,1999,16(2):255-257. |
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| 作者姓名： | 殷保群 周亚平 杨孝先 溪宏生 孙德敏 |
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| 作者单位： | 中国科技大学自动化系,合肥,230026 |
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| 基金项目： | 华为科研基金!( 97BJ0 10 1)，青年科学基金!( 96KA2 6 12 ) |
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| 摘 要： | 本文通过研究一类Ｍａｒｋｏｖ过程在无穷小矩阵的参数摄动下稳态性能指标的灵敏度，运用无穷小矩阵的群逆，实现矩阵和势能这三个描述稳定性能指标灵敏度的等价量，给出了状态相关闭排队网络在参数摄动下的稳态性能指标灵敏度公式，这些结果可直接用于排队网络的控制和优化。
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| 关 键 词： | 参数摄动 性能指标 灵敏度 势能 |
| 收稿时间： | 1996/6/17 0:00:00 |
| 修稿时间： | 1998/4/22 0:00:00 |
Sensitivity Formulas of Performance in Closed State-Dependent Queueing Networks |
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| Yin Baoqun,Zhou Yaping,University of Science and Technology of China.Sensitivity Formulas of Performance in Closed State-Dependent Queueing Networks[J].Control Theory & Applications,1999,16(2):255-257. |
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| Authors: | Yin Baoqun Zhou Yaping University of Science and Technology of China |
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| Abstract: | Sensitivity of the steady state performance of a class of Markov processes with respect to the parameter perturbations of their infinitesimal matrices are studied. Then sensitivity formulas of the steady state performance with respect to the parameter perturbations are given in closed state dependent queueing networks. These formulas can be expressed by using any of the group inverse of the infinitesimal matrix,the realiztion matrix and the potentials. These results can be directly used in the problems of optimization and controlling of queueing networks. |
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| Keywords: | parameter perturbation performance sensitivity potential |
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