Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (9): 1834-1840.doi: 10.3969/j.issn.1001-506X.2012.09.15

• 系统工程 • 上一篇    下一篇

改进的Pareto多目标协同优化策略

龙腾1,2,刘莉1,2   

  1. 1. 北京理工大学飞行器动力学与控制教育部重点实验室, 北京 100081;
    2. 北京理工大学宇航学院, 北京 100081
  • 出版日期:2012-09-19 发布日期:2010-01-03

Enhanced Pareto multi-objective collaborative optimization strategy

LONG Teng1,2, LIU Li1,2   

  1. 1. Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, Beijing Institute of Technology, Beijing 100081, China; 
    2. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Online:2012-09-19 Published:2010-01-03

摘要:

为了提高标准协同优化的收敛性并扩展其多目标优化能力,将Pareto多目标遗传算法用于协同优化的系统级优化,提出了一种改进的Pareto多目标协同优化策略(enhanced collaborative optimization using Pareto multi-objective genetic algorithm, ECO-PMGA)。为了保证非劣解集的Pareto最优性与均布性,提出了一种考虑拥挤度的非劣解逐级排序方法。ECO-PMGA采用2-范数形式的学科间一致性约束以提高学科级优化的效率。通过两个典型的优化算例对ECO-PMGA的数值稳定性与搜索Pareto非劣解集的能力进行了检验。研究结果表明,ECO-PMGA的收敛性与数值稳定性得以显著提高,而且ECO-PMGA具有良好的Pareto多目标优化能力。因此,ECO-PMGA在复杂耦合系统的多目标优化设计方面具有较高的实用价值。

Abstract:

In order to improve the convergence performance of standard collaborative optimization strategy and extend its multi-objective optimization compatibility, by adopting Pareto multi-objective genetic algorithm in the system level optimization, an enhanced collaborative optimization using Pareto multiobjective genetic algorithm (ECO-PMGA) is proposed. A sequential ranking method considering the crowed degree is developed to ensure the Pareto optimality and even distribution of noninferior solutions. The interdisciplinary consistency constraints of 2-norm format are employed to improve the efficiency of discipline level optimizations in ECO-PMGA. The numerical stability and capability of searching Pareto non-inferior solution set are validated through two typical optimization problems. The results indicate that the convergence of system level optimization and numerical stability of ECO-PMGA are fairly enhanced, moreover, the ECO-PMGA shows a good performance in achieving Pareto optimal set. Accordingly, the proposed ECO-PMGA is practical and valuable for multi-objective optimization problems for complex and coupled systems.