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禁忌模拟退火复合形法及其在边坡稳定性分析中的应用 被引量:4

TABU SIMULATED ANNEALING COMPLEX METHOD AND ITS APPLICATION TO SLOPE STABILITY ANALYSIS
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摘要 对于随机生成的初始复形,首先,选取与其他顶点相似程度最大的顶点进行禁忌退火操作,禁忌退火产生新顶点的区域限于该点和其余各顶点的中心点连线上,若关于该点的禁忌退火没有产生新的顶点,即禁忌退火失败,则选取与其他顶点相似程度次大的顶点进行退火,直至关于复形全部顶点的退火操作均失败;然后,对当前的复形进行改进的复合形法计算,采用与基本复合形法类似的映射收缩算子迭代至收敛。禁忌模拟退火复合形法不仅考虑了目标函数的改进,而且保持了各顶点的多样性,避免了基本复合形法容易陷入局部极优的缺点。对2个非均质土坡的临界滑动面进行搜索表明,该方法具有较高的寻优成功率。 For a randomly generated initial complex, the bad design point will be operated firstly whose similarity degree is the biggest to other design points, and a new design point would be generated by simulated annealing optimization operator with tabu idea on the line through the bad design point and the center of the remaining design points. If no new design point is found to replace the bad design point, another design point which has the second maximum similarity degree is chosen to be simulated annealing calculation, and the process will be continued until all the design points are chosen to be simulated annealing calculation and no new design points found. After then the improved complex optimization calculation would be continued for the current complex. In this process, the same reflection and retraction operator to basic complex method is employed. Not only the improvement on the objective function value but also the maintenance of the diversity of the complex is considered in the improved complex method; and the local optimization would be avoided. The tabu simulated annealing complex method is applied to searching the critical failure surface of two nonhomogeneous soil slopes. The result shows that the ability of the improved complex method to find optimum is stronger than that of the basic complex method.
出处 《岩石力学与工程学报》 EI CAS CSCD 北大核心 2005年第18期3342-3349,共8页 Chinese Journal of Rock Mechanics and Engineering
关键词 数值分析 禁忌模拟退火复合形法 边坡稳定 多样性 numerical analysis tabu simulated annealing complex method(TSACM) slope stability diversity
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