摘要
针对概念设计中方案设计的组合优化问题,如何避免组合爆炸、快速有效地产生一些可行方案的难题,提出多模糊集代数和定理以及模糊集比较定理,根据产品功能与功能载体、功能载体与功能载体之间的相互关系,利用模糊集理论建立了产品模糊矩阵和模糊多目标优化数学模型,并根据免疫细胞进化原理提出一种有效的多目标免疫优化算法。以带式输送机的传动方案设计为例进行验证,试验结果显示这种方法能够快速产生可行方案集,实现方案的自动化设计。
Scheme design is the key process of conceptual design. Because scheme design is a combination optimization problem, it is difficult that how to avoid combination explore to produce some feasible schemes. The model of conceptual design is built from the point of views of fuzzy multi-objective optimization. The theorem of multi-fuzzy-set algebra sum and the theorem of fuzzy set compare are presented, and then according to the relationships between structures and functions of the production, the fuzzy mathematical model of the multi-objective optimization of conceptual design is provided. In order to solve the multi-objective optimization question, an effective multi-objective optimal algorithm based on the evolutions of the immune cells, whose convergence and diversity are better than SPEA. An example of transmission scheme design of the belt conveyor is given to show that this method is able to produce the feasible schemes set and realize the automatic scheme design.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2007年第3期165-171,共7页
Journal of Mechanical Engineering
基金
国家自然科学基金(60575046)
中国矿业大学科技基金(E200412
E2005B008
E2006B007)资助项目。
关键词
概念设计
模糊集
多目标优化
免疫算法
带式输送机
Conceptual design
Fuzzy set
Multi-objective optimization
Immune system
Belt conveyor
