一种快速收敛的动态松弛协同优化方法

doi:10.16182/j.issn1004731x.joss.201801012

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (1): 96-104.doi: 10.16182/j.issn1004731x.joss.201801012

一种快速收敛的动态松弛协同优化方法

陈静¹, 吕玉超², 王利敏²

1.桂林理工大学机械与控制工程学院,广西桂林 541000;
2.桂林理工大学信息科学与工程学院,广西桂林 541000

收稿日期:2015-11-24 发布日期:2019-01-02
作者简介:陈静(1963-),女,重庆,学士,副教授,研究方向为多学科设计优化;吕玉超(1990-),男,济南,硕士,研究方向为多学科设计优化;王利敏(1992-)女,开封,硕士,研究方向为多学科设计优化。
基金资助:
国家自然科学基金(51365010)

Dynamic Relaxation Cooperative Optimization Method with Fast Convergence

Chen Jing¹, Lü Yuchao², Wang Limin²

1.College of Mechanical and Control Engineering, Guilin 541004, China;
2.College of Information Science and Engineering, Guilin University of Technology, Guilin 541004, China

Received:2015-11-24 Published:2019-01-02

摘要/Abstract

摘要： 针对CO优化过程中计算成本较大,远离最优解的初始点收敛速度较慢的问题,提出一种快速收敛的动态松弛协同优化方法。该方法的计算过程分为两个阶段：加速收敛阶段对松弛因子的计算方法进行改进,采用各学科优化解与优化解均值之间的不一致信息构造松弛因子;优化求解阶段以加速收敛阶段的最优解作为初始点,选取符合一致性精度要求的松弛因子进行协同优化,求得全局最优解。通过典型数值算例和减速器多学科设计优化问题对该方法进行验证,结果表明,该方法能够有效降低计算成本,加快远离最优解初始点的收敛速度。

关键词: 多学科优化, 协同优化, 松弛因子

Abstract: To solve problem of high computational cost and low convergence speed of initial points away from the optimal solution in collaborative optimization, a new dynamic relaxation cooperative optimization method with fast convergence is presented. Two-phase optimization is adopted in this method. In the accelerating convergence phase, the calculation method of relaxation factor is improved, and the inconsistent information between the optimal value of disciplines and its mean value is used to construct the relaxation factor. The optimization solution of the first phase is adopted as the initial points in the optimization solution phase. The relaxation factor satisfying the consistent precision requirement is selected for cooperative optimization, and the global optimal solution is obtained. A typical numerical example and the reducer MDO problem are adopted to test this optimization method. Experimental results show that the proposed method can greatly reduce the computational cost and accelerate the convergence speed of the initial points away from the optimal solution.

Key words: multidisciplinary optimization, collaborative optimization, relaxation factor

中图分类号:

TP301.6

陈静, 吕玉超, 王利敏. 一种快速收敛的动态松弛协同优化方法[J]. 系统仿真学报, 2018, 30(1): 96-104.

Chen Jing, Lü Yuchao, Wang Limin. Dynamic Relaxation Cooperative Optimization Method with Fast Convergence[J]. Journal of System Simulation, 2018, 30(1): 96-104.

参考文献

[1] 李海燕, 马明旭, 井元伟, 等. 一种具有全局稳定性的多学科协同优化方法[J]. 计算机集成制造系统, 2009,15(12): 2363-2369. Li Haiyan, Ma Mingxu, Jing Yuanwei, et al. Improved multidisciplinary collaborative optimization with global stability[J]. Computer Intergrated Manufacturing Systems, 2009, 15(12): 2363-2369.
[2] Brian Roth, Ilan Kroon.Enhanced collaborative optimization: Applica- tion to an analytic test problem and aircraft design[C]//Proc of the 12^th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, USA: AIAA, 2008.
[3] Li Haiyan, Ma Mingxu, Zhang Wenlei.Improving collaborative optimization for MDO problems with multi-objective subsystems[J]. Structural and Multidisciplinary Optimization(S1615-147X), 2014, 49(1): 609-620.
[4] Alexandru C Berbecea, Frederic Gillon.Multi-level design of an isolation transformer using collaborative optimization[J]. Computation and Mathematics in Electrical and Electronic Engineering(S0332-1649), 2014, 33(3): 1038-1050.
[5] 李响, 李为吉. 基于超球近似子空间的协同优化方法及应用研究[J]. 西北工业大学学报, 2003, 21(4): 461-464. Li Xiang, Li Weiji. Collaborative Optimization Based on Inter-Disciplinary Inconsistency Information and its Application to Mechanical System Design[J]. Journal of Northwestern Polytechnical University, 2003, 21(4): 461-464.
[6] 李冬琴, 杨永祥, 陈智同. 一种改进的协同优化算法及其应用[J]. 计算机工程与科学, 2013, 35(1): 137-141. Li Dongqin, Yang Yongxiang, Chen Zhitong. An improved collaborative optimization algorithm and its application[J]. Computer Engineering & Science, 2013, 35(1): 137-141.
[7] 方鹏亚, 常新龙, 胡宽, 等. 基于渐近松弛的协同优化方法[J]. 上海交通大学学报, 2013, 47(12): 1896-1899.Fang Yapeng, Chang Xinlong, Hu Kuan, et al. Asymptotic Relaxation Based Collaborative Optimization [J]. Journal of Shang hai Jiao Tong University, 2013, 47(12): 1896-1899.
[8] Alexandrov N M, Lewis R M.Analytical and computational aspects of collaborative optimization for multidisciplinary design[J]. AIAA Journal (S0001-1452), 2002, 40(2): 301-309.
[9] 李海燕, 李永缙, 田英. 协同优化计算方法的分析与改进[J]. 沈阳大学学报(自然科学版), 2013, 25(6): 462-465. Li Haiyan,Li Yongjin,Tian Ying. Analysis and Improvement on Algorithm of Collaborative Optimization [J]. Journal of Shenyang University (Natural Science), 2013, 25(6): 462-465.
[10] 郭健彬, 曾声奎. 自适应协同优化方法研究[J]. 系统工程与电子技术, 2009, 31(5): 1108-1112. Guo Jianbin, Zeng Shengkui. Research on adaptive collaborative optimization method[J]. System Engineering and Electronics, 2009, 31(5): 1108-1112.
[11] 纪爱敏, 殷旭. 基于自适应松弛因子的协同优化方法[J]. 计算机集成制造系统, 2014, 20(7): 1530-1536. Ji Aimin, Yin Xu. Collaborative optimization based on adaptive relaxation[J]. Computer Integrated Manufacturing Systems, 2014, 20(7): 1530-1536.
[12] 郭健彬, 曾声奎, 陈云霞. 稳健协同优化方法的改进和应用[J]. 火力与指挥控制, 2010, 35(4): 32-35. Guo Jianbin, Zeng Shengkui, Chen Yunxia. Improvement and Application of Multidisciplinary Robust Design Optimization Method [J]. Fire Control& Command Control, 2010, 35(4): 32-35.
[13] 凌昊, 程远胜, 刘均, 等. 一种新的多学科协同优化方法及其工程应用[J]. 中国造船, 2011, 52(2): 87-99.Ling Hao, Cheng Yuansheng, Liu Jun, et al. An Improved Multidiscipline Collaborative Optimization Algorithm and Its Application in Submarine Subdivision[J]. SHIPBUILDING OF CHINA, 2011, 52(2): 87-99.
[14] 温庆国, 宋保维, 王鹏. 基于iSIGHT软件的协同优化算法若干问题研究[J]. 西北工业大学学报, 2013, 31(1): 145-149. Wen Qingguo, Song Baowei, Wang Peng. Some Problems of Collaborative Optimization Based on iSIGHT[J]. Journal of Northwestern Polytechnical University, 2013, 31(1): 145-149.
[15] Braun R D, Gage P, Kroo I.Implementation and performance issues in collaborative optimization[R]. AIAA-96-4017, USA: AIAA, 1996.
[16] 韩明红, 邓家禔. 协同优化算法的改进[J]. 机械工程学报, 2006, 42(11): 34-38. Han Minghong, Deng Jiazhi. Improvement of Collaborative Optimization[J]. Chinese Journal of Mechanical Engineering, 2006, 42(11): 34-38.
[17] Azarm S, LI W C.Optimality and constrained derivatives in tow-level design optimization[J]. ASME Journal of Mechanical Design (S1050-0472), 1990, 112(12): 563-568.

一种快速收敛的动态松弛协同优化方法

Dynamic Relaxation Cooperative Optimization Method with Fast Convergence

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