Kriging模型并行加点策略的多目标优化方法

韩鼎; 郑建荣; 周骏彦

doi:10.13433/j.cnki.1003-8728.2016.1113

Kriging模型并行加点策略的多目标优化方法

doi: 10.13433/j.cnki.1003-8728.2016.1113

1.
华东理工大学机械与动力工程学院, 上海 200237;
2.
太平洋机电(集团)有限公司, 上海 200050

基金项目:

国家科技支撑计划项目（2011BAF08B03）与上海市引进技术的吸收与创新年度计划项目（产-30-方向-28）

详细信息

作者简介:
韩鼎(1987-),博士研究生,研究方向为近似模型建模与多目标优化,jack0077555@163.com

通讯作者:
郑建荣(联系人),教授,博士导师,jrzheng@126.com

计量
- 文章访问数: 283
- HTML全文浏览量: 45
- PDF下载量: 15
- 被引次数: 0
出版历程
- 收稿日期: 2014-12-25
- 刊出日期: 2016-11-05

A Multi-objective Optimization Method using Kriging Model and Parallel Point Adding Strategy

1.
School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;
2.
Pacific Mechatronic(Group) Co., Ltd, Shanghai 200050, China

摘要

摘要: 针对复杂机械装备多学科多目标优化设计成本高、周期长等问题，提出一种近似模型与并行加点策略相结合的多目标优化方法。基于Kriging模型，将添加更新样本点定义为同时考虑Pareto最优解和预测误差的动态多目标优化问题，应用改进NSGA-II优化算法和极大极小距离准则，确定最优的并行更新样本点，在提高Kriging模型精度的同时实现多目标优化。测试函数验证和实例结果表明，该方法可有效提高复杂系统多目标优化效率，同时获得收敛性和分散性俱佳的Pareto最优解。
- 多目标优化 /
- Kriging模型 /
- 自适应并行加点 /
- Pareto最优解
Abstract: Aiming at reducing computational cost and time for expensive multi-objective optimization problem of complex mechanical systems, a multi-objective optimization method based on approximate model with a parallel update point adaptively adding strategy is put forward. In this approach, based on a Kriging model, the point adding strategy is formulated as a dynamic multi-objective optimization problem which considers both Pareto optimal solutions and model uncertainty. By applying an improved NSGA-II and a maximum distance criterion, multiple update points can be identified for further parallel evaluation. The proposed approach is tested on six numerical functions and one engineering example. The results show that, this method not only is able to obtain Pareto optimal solutions of good convergence and diversity, but also possess the advantage in the optimization efficiency.
- multi-objective optimization /
- Kriging model /
- parallel point adaptively adding /
- Pareto optimal solution

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参考文献(12)

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