基于遗传算法的全局优化算法用于解决系统分析中的多学科优化问题

Chun-lin Gong, Liangxian Gu
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引用次数: 2

摘要

多学科可行性(MDF)是一种很有前途的多学科优化(MDO)问题求解体系。但传统的基于迭代的MDF系统分析求解方法计算性能较差。在复杂的、紧密耦合的系统设计中,SA的求解困难阻碍了它的应用。本研究的目的是提高SA和MDF的计算性能。通过分析FPI和NRI方法的特点,总结了计算困难的原因。然后,提出了对SA求解方法的要求。为了满足这些要求,将原SA的表述改为非线性规划问题。这种自然语言处理的特殊要求需要一种新的优化算法。因此,将GA和DFP两种优化算法串联为GA-DFP。通过算例验证了GA-DFP的全局搜索能力和局部收敛能力,满足算法的所有要求。通过将GA-DFP引入MDF,建立了一种新的体系结构BO-MDF。典型问题的结果表明,BO-MDF比MDF、IDF、AAO和CO等MDO求解体系具有更好的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Genetic algorithm based global optimization algorithm used to solving System Analysis of Multi-Disciplinary Optimization
Multi-Disciplinary Feasible (MDF) is a promising solving architecture for Multi-Disciplinary Optimization (MDO) problem. But traditional iteration based solving method for System Analysis (SA) of MDF has poor computational performance. The solving trouble due to SA prevents its application in complex, tight-coupled system design. The intent of this research is to improve the computational performance of SA and MDF. By analyzing the characteristics of FPI and NRI method, the reasons of computational difficulties were summarized. Then, the requirements to SA solving method were presented. To meet these requirements, original formulation of SA was changed to a Non-Linear Programming (NLP) problem. The special requirements for this NLP necessitate a new optimization algorithm. Hence, two optimization algorithms, GA and DFP, were combined in series to GA-DFP. By a test example, GA-DFP has been validated in capabilities of global search and local convergence, and meets all requirements of SA. By introducing GA-DFP into MDF, a new architecture, BO-MDF, was established. The results of typical problem show that BO-MDF has better performance than other MDO solving architectures of MDF, IDF, AAO, and CO.
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