基于竞争博弈的多目标可靠性优化设计方法

doi:10.13700/j.bh.1001-5965.2017.0367

北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (4): 887-894.doi: 10.13700/j.bh.1001-5965.2017.0367

• 论文 • 上一篇

基于竞争博弈的多目标可靠性优化设计方法

冯嘉珍^1,2, 张建国^1,2, 邱继伟^1,2

1. 北京航空航天大学可靠性与系统工程学院, 北京 100083;
2. 北京航空航天大学可靠性与环境工程技术重点实验室, 北京 100083

收稿日期:2017-05-31 出版日期:2018-04-20 发布日期:2018-04-27
通讯作者: 张建国 E-mail:zjg@buaa.edu.cn
作者简介:冯嘉珍,男,博士研究生。主要研究方向:机械可靠性;张建国,男,博士,教授,博士生导师。主要研究方向:机械/机构/结构可靠性。
基金资助:
国家重点研发计划（2013CB733000）；国家自然科学基金（51675026，71671009）

Multi-objective reliability design optimization approach based on competition game

FENG Jiazhen^1,2, ZHANG Jianguo^1,2, QIU Jiwei^1,2

1. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received:2017-05-31 Online:2018-04-20 Published:2018-04-27
Supported by:
National Key R&D Program of China (2013 CB733000); National Natural Science Foundation of China (51675026, 71671009)

摘要/Abstract

摘要： 针对目标权重选取的主观性问题，提出基于竞争博弈进行多目标可靠性优化设计的方法。首先，将各设计目标视为不同的博弈方，通过随机设计变量集映射（RDVSM）技术，将优化模型中的随机设计变量集分解为各博弈方所拥有的策略集；然后，各博弈方以自身收益为目标，结合性能测量方法在各自的策略集中进行单目标可靠性优化设计，并由所有的优化设计结果形成一轮博弈的策略组合；经过多轮博弈之后得博弈均衡解。压力容器和齿轮减速器2个案例的分析表明，所提方法有效避免了目标权重的选择，设计结果具有较高客观性。

关键词: 多目标, 可靠性优化设计, 竞争博弈, 随机设计变量集映射(RDVSM), 博弈均衡解

Abstract: Aimed at the subjectivity of the selection of target weights, multi-objective reliability design optimization approach based on competition game is proposed. In this approach, every design objective is treated as the corresponding game player, and the random design variable set is decomposed into multiple strategy sets that are allocated to the corresponding player through the random design variable set mapping (RDVSM) technology. Then, combined with the performance measurement analysis method, every player takes its payoff as the single objective function for the reliability design optimization in its own strategy set, and the optimal results of all players form a group of strategies in this game round. After multi-round games, the equilibrium solution of the game is acquired. The study of a pressure vessel case and a gear reducer case shows that the proposed approach avoids the selection of target weights, and the design results have high objectivity.

Key words: multi-objective, reliability design optimization, competition game, random design variable set mapping (RDVSM), game equilibrium solution

中图分类号:

TB114.3

冯嘉珍, 张建国, 邱继伟. 基于竞争博弈的多目标可靠性优化设计方法[J]. 北京航空航天大学学报, 2018, 44(4): 887-894.

FENG Jiazhen, ZHANG Jianguo, QIU Jiwei. Multi-objective reliability design optimization approach based on competition game[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2018, 44(4): 887-894.

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基于竞争博弈的多目标可靠性优化设计方法

Multi-objective reliability design optimization approach based on competition game

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