Based on the graphical implication of reliability index, applying chaos algorithm and BFGS algorithm, a new reliability analysis method on the basis of hybrid chaos algorithm was presented.

根据可靠度指标的几何意义，联合应用混沌算法和BFGS算法，提出了基于混沌混合算法的可靠度分析方法。

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A new hybrid algorithm which combines the chaos optimization method and the nonlinear conjugate gradient method approach having an effective convergence property is proposed.

利用优化问题的非线性共轭梯度法与混沌优化方法相结合，提出了一种新的混合优化算法。

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To improve the efficiency and robustness of constraint solving algorithms, a hybrid algorithm to integrate chaos method into BFGS algorithm was proposed.

为了提高约束求解的效率和鲁棒性，提出了一个将混沌方法嵌入BFGS算法的约束求解混和算法。

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