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| 分布式通信响应优化问题及其内点法求解 | |
| 引用本文： | 陈丰,吴峻峰. 分布式通信响应优化问题及其内点法求解[J]. 计算数学, 2017, 39(4): 378-392 |
| 作者姓名： | 陈丰 吴峻峰 |
| 作者单位： | 1. 中国南方电网有限责任公司, 广州 510530; 2. 中山大学, 广州 510275 |
| 摘 要： | 为了优化移动互联网的分布式通信系统的响应速度,建立分布式通信系统响应速度最优化问题的数学模型,并设计和改进求解该最优化问题的内点法.针对该最优化问题发展一套高效率预条件方法来帮助求解内点法,不但改善计算方法的数值稳定性,而且提高算法的计算效率.通过数值实验验证该预条件对算法稳定性和效率的提高. |
| 关 键 词： | 分布式通信系统 最优化问题 内点法 预条件 数值稳定性 |
AN OPTIMIZATION PROBLEM OF RESPONSIVENESS OF DISTRIBUTED COMMUNICATION SYSTEM AND A SOLVER BASED ON INTERIOR-POINT METHOD |
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| Chen Feng,Wu Junfeng. AN OPTIMIZATION PROBLEM OF RESPONSIVENESS OF DISTRIBUTED COMMUNICATION SYSTEM AND A SOLVER BASED ON INTERIOR-POINT METHOD[J]. Mathematica Numerica Sinica, 2017, 39(4): 378-392 | |
| Authors: | Chen Feng Wu Junfeng |
| Affiliation: | 1. China Southern Power Grid, Guangzhou 510530, China; 2. Sun Yat-sen University, Guangzhou 510275, China |
| Abstract: | To optimize the responsiveness of distributed communication system on mobile Internet, a mathematical model of system responsiveness optimization is established, and a solver based on interior method is designed. To improve the numerical stability and efficiency of the solver, a fast preconditioner is developed. Numerical experiments are carried out to verify the stability and efficiency of the solver due to the preconditioner. |
| Keywords: | distributed communication system optimization problem interior point method preconditioner numerical stability |
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