Abstract
Many solutions in geotechnical problems are given by the solutions of optimization analysis. In many practical engineering problems, the objective function is nonconvex and discontinuous, with the presence of multiple strong local minima, and the classical optimization methods may sometimes be trapped by the local minimum during the analysis. In cases where a strong local minimum is present in the solution domain, the commonly adopted heuristic global optimization method may fail to work properly, which has been seen by the authors. In this chapter, coupled optimization methods developed by the authors are reviewed, which are demonstrated to be suitable for such difficult cases. The mixed optimization algorithm can take the advantage of different optimization algorithms, and it is demonstrated to be effective and efficient in solving a very complicated hydropower problem with a high level of confidence.
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