A modified hybrid algorithm based on black hole and differential evolution algorithms to search for the critical probabilistic slip surface of slopes

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.