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Comparison of Multiobjective Optimization Methods Applied to Urban Drainage Adaptation Problems

机译:多目标优化方法应用于城市排水适应问题的比较

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摘要

This article compares three multiobjective evolutionary algorithms (MOEAs) with application to the urban drainage system (UDS) adaptation of a capital city in North China. Particularly, we consider the well-known NSGA-II, the built-in solver in the MATLAB Global Optimization Toolbox (MLOT), and a newly-developed hybrid MOEA called GALAXY. A variety of parameter combinations of each MOEA is systemically applied to examine their impacts on optimization efficiency. Results suggest that the traditional MOEAs suffer from severe parameterization issues. For NSGA-II, the distribution indexes of crossover and mutation operators were found to have dominant impacts, while the probabilities of the two operators played a secondary role. For MLOT, the two-point and the scattered crossover operators accompanied by the adaptive-feasible mutation operator gained the best Pareto fronts, provided the crossover fraction is set to lower values. In contrast, GALAXY was the most robust and easy-to-use tool among the three MOEAs, owing to its elimination of various associated parameters of searching operators for substantially alleviating the parameterization issues. This study contributes to the literature by showing how to improve the robustness of identifying optimal solutions through better selection of operators and associated parameter settings for real-world UDS applications.
机译:本文对三种多目标进化算法(MOEA)进行了比较,并将其应用于华北首府城市排水系统(UDS)的应用。特别是,我们考虑了著名的NSGA-II,MATLAB全局优化工具箱(MLOT)中的内置求解器,以及新开发的称为GALAXY的混合MOEA。系统地应用每个MOEA的各种参数组合来检查它们对优化效率的影响。结果表明,传统的MOEA存在严重的参数化问题。对于NSGA-II,发现交叉算子和变异算子的分布指数具有主要影响,而两个算子的概率起次要作用。对于MLOT,如果将交叉分数设置为较低的值,则在自适应可行突变算子的陪伴下,两点和分散的交叉算子获得了最佳的Pareto前沿。相反,GALAXY是三个MOEA中最强大,最易用的工具,这是因为它消除了搜索运算符的各种相关参数,从而大大缓解了参数化问题。这项研究通过展示如何通过为实际UDS应用程序更好地选择运算符和相关参数设置来提高识别最佳解决方案的鲁棒性,为文献做出了贡献。

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