计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
18期
48-51
,共4页
非线性方程组%进化计算%多目标优化%最优解
非線性方程組%進化計算%多目標優化%最優解
비선성방정조%진화계산%다목표우화%최우해
nonlinear system of equations%evolutionary computation%multi-objective optimization%optimal solutions
如何有效地求解复杂非线性方程组是进化计算领域一个新的研究问题。将非线性方程组等价地转化成多目标优化问题，同时设计了求解的多目标优化进化算法。为了提高算法的搜索能力及避免算法陷入局部最优，采用了自适应Levy变异进化算子和均匀杂交算子。计算机仿真表明该算法对非线性方程组的求解是有效的。
如何有效地求解複雜非線性方程組是進化計算領域一箇新的研究問題。將非線性方程組等價地轉化成多目標優化問題，同時設計瞭求解的多目標優化進化算法。為瞭提高算法的搜索能力及避免算法陷入跼部最優，採用瞭自適應Levy變異進化算子和均勻雜交算子。計算機倣真錶明該算法對非線性方程組的求解是有效的。
여하유효지구해복잡비선성방정조시진화계산영역일개신적연구문제。장비선성방정조등개지전화성다목표우화문제，동시설계료구해적다목표우화진화산법。위료제고산법적수색능력급피면산법함입국부최우，채용료자괄응Levy변이진화산자화균균잡교산자。계산궤방진표명해산법대비선성방정조적구해시유효적。
How to effectively solve complex nonlinear system of equations is a novel research problem in evolution field. Non-linear system of equations is transformed into a multi-objective optimization problem and a new multi-objective optimization evolutionary algorithm is proposed. In order to enhance the search ability of the proposed algorithm and avoid the algorithm falls into the local optimum, the self-adaptive evolution operator and the uniform crossover operator are used. The computer sim-ulations demonstrate the effectiveness of the proposed algorithm to solve nonlinear system of equations.
