引入退火机制的复合形法在边坡最小安全系数搜索中的应用

针对基本复合形法在搜索复杂边坡最小安全系数的过程中可能会陷入局部极小值的问题，在其寻优过程中第一次出现关于最坏点映射失败时，将最坏点作为模拟退火算法的初始寻优点进行一次模拟退火搜索，用寻找到的最优值替换当前复形中的最坏点，构成新的复形继续进行基本复合形法的寻优至结束，从而形成一种新的、更加优异的优化算法。通过对算例的复杂边坡最小安全系数的搜索表明，这种引入退火机制的复合形法是一种全局搜索能力很强的算法。

Basic complex method with simulated annealing mechanism for searching the minimum safety factor of slope

The simulated annealing mechanism is introduced in the basic complex method for searching the minimum safety factor of slope. The calculation procedures are as follows: once when the reflection of the bad design point fails to find better design point in the process of search, the bad design point can be regarded as the initial design point for the searching of simulated annealing method, then the obtained optimum design should be used to replace the current bad design point to generate a new complex. This procedure should be repeated until the stop criterion is met. Applications show that the proposed method is effective in searching the minimum safety factor of complicated slope.