| 无线网络效用最大化算法的收敛性分析 |
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| 引用本文： | 廖盛斌,谭运猛. 无线网络效用最大化算法的收敛性分析[J]. 北京理工大学学报, 2014, 34(8): 807-812 |
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| 作者姓名： | 廖盛斌 谭运猛 |
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| 作者单位： | 华中师范大学教育技术工程中心,湖北,武汉430079;华中科技大学电信系,湖北,武汉430074 |
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| 基金项目： | 国家自然科学基金资助项目（61072051，61072075）；武汉市科技计划项目（2014010202010108） |
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| 摘 要： | 针对分布式效用最大化算法中的信息交互和反馈易于受随机噪声干扰，研究了随机噪声对分布式效用最大化算法收敛性影响问题. 通过将随机噪声模拟为鞅，采用鞅方法分析了随机噪声对分布式效用最大化算法的影响，给出并证明了带有反馈噪声的分布式效用最大化算法几乎处处收敛的一个充分条件. 仿真实验验证了理论分析的正确性.
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| 关 键 词： | 网络效用最大化 鞅 噪声 几乎处处收敛 无线网络 |
| 收稿时间： | 2012-11-21 |
Convergence Analysis of Wireless Network Utility Maximization Algorithm |
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| LIAO Sheng-bin and TAN Yun-meng. Convergence Analysis of Wireless Network Utility Maximization Algorithm[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2014, 34(8): 807-812 |
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| Authors: | LIAO Sheng-bin and TAN Yun-meng |
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| Affiliation: | 1.Engineering Center for Information Technology on Education, Huazhong Normal University, Hubei, Wuhan 430079, China2.Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Hubei, Wuhan 430074, China |
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| Abstract: | Due to the information interaction and feedback signals can be easily affected by stochastic noise, in this paper, the impact of stochastic noise on the convergence of the distributed network utility maximization algorithms was studied. The impact of stochastic noise on the distributed NUM algorithms was presented, and a sufficient condition under which the distributed NUM algorithms almost everywhere converge was provided and proved by modeling the stochastic noise as martingale and using martingale analysis method. Simulation experiments validate the conclusion of our theoretical analyses. |
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| Keywords: | network utility maximization martingale noise almost everywhere convergence wireless networks |
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