Abstract Optimization algorithms play an important role in the reliability analysis of slopes to determine the critical slip surface. In this study, the original hybrid algorithm based on black hole and differential evolution algorithms (BHDE) is modified to speed up the convergence rate. Subsequently, the modified BHDE (MBHDE) combined with the subset simulation (SS) is firstly applied to search for the critical probabilistic slip surface of a slope where Bishop simplified method is employed to calculate the safety factor. Finally, four typical examples of soil slope are analyzed to illustrate the merits in convergence rate for MBHDE. The results achieved by MBHDE combined with SS also indicate its applicability and efficiency in the reliability analysis of slopes.

中文翻译：

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基于黑洞和差分进化算法的改进混合算法搜索边坡临界概率滑面

摘要 优化算法在边坡可靠度分析确定临界滑移面中起着重要作用。本研究对原有的基于黑洞和差分进化算法（BHDE）的混合算法进行了修改，以加快收敛速度​​。随后，首先将改进的BHDE（MBHDE）结合子集模拟（SS）应用于寻找边坡临界概率滑移面，并采用Bishop简化法计算安全系数。最后，通过分析四个典型的土坡实例来说明MBHDE在收敛速度方面的优点。MBHDE 与 SS 结合取得的结果也表明其在边坡可靠度分析中的适用性和有效性。