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A hybrid directional step method for minimum performance target point search

机译：最低性能目标点搜索的混合方向步法

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摘要

The existing step size methods aim to success in the convergence of searching the minimum performance target point in the reliability analysis. However, these methods cannot guarantee that the performance function value is smaller than that of previous point. This results in the redundant computation during the search process. In this paper, a new step method called hybrid directional step method is proposed to improve the efficiency of search process. The proposed method can keep the performance function values of iterations presenting a decreasing sequence and quickly converge to the minimum performance target point. The proposed method is compared with some existing methods through several numerical examples. The results show that the proposed hybrid directional step method presents good robustness and more efficient computation in practical application.
机译：现有的步长方法旨在在可靠性分析中成功地寻找最小性能目标点。但是，这些方法不能保证性能函数值小于先前的值。这导致搜索过程中的冗余计算。本文提出了一种新的步进方法，称为混合方向步进法，以提高搜索过程的效率。所提出的方法可以使迭代的性能函数值呈现递减的顺序，并迅速收敛到最小性能目标点。通过几个数值例子，将提出的方法与现有方法进行了比较。结果表明，所提出的混合方向步法在实际应用中具有良好的鲁棒性和更有效的计算能力。

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