A parallel double-level multiobjective evolutionary algorithm for robust optimization

A parallel double-level multiobjective evolutionary algorithm for robust optimization
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鲁棒优化的并行双级多目标进化算法

DOI:
10.1016/j.asoc.2017.06.008
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发表时间:
2017-10
期刊:
Applied Soft Computing[中科院二区,IF=3.907]
影响因子:
--
通讯作者:
Jun Zhang
Jun Zhang
中科院分区:
其他
文献类型:
--
作者:
Wei-Jie Yu;Jin-Zhou Li;Wei-Neng Chen;Jun Zhang

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鲁棒优化是解决不确定优化问题的一种常用方法。然而,传统的鲁棒优化只能在一次运行中找到一个单一的解决方案,这是不够灵活的决策者选择一个满意的解决方案,根据自己的喜好。此外,传统的鲁棒优化往往需要大量的蒙特卡罗模拟来获得数值解,这是相当耗时的。为了解决这些问题,本文提出了一种并行双层多目标进化算法(PDL-MOEA)。PDL-MOEA算法通过将期望和方差作为两个目标,将单目标不确定优化问题转化为双目标问题,从而为决策者提供一组具有不同稳定性的解。在此基础上,提出了一种基于消息传递接口(MPI)的并行进化机制来实现算法的并行化。该并联机构采用双层设计,全局级和子问题级。全球层面充当主机,维护全球人口信息。在子问题级,优化问题被分解成一组子问题,可以并行求解,从而减少了计算时间。实验结果表明,PDL-MOEA一般优于几个国家的最先进的串行/并行MOEA的准确性,效率和可扩展性。
Robust optimization is a popular method to tackle uncertain optimization problems. However, traditional robust optimization can only find a single solution in one run which is not flexible enough for decision-makers to select a satisfying solution according to their preferences. Besides, traditional robust optimization often takes a large number of Monte Carlo simulations to get a numeric solution, which is quite time-consuming. To address these problems, this paper proposes a parallel double-level multiobjective evolutionary algorithm (PDL-MOEA). In PDL-MOEA, a single-objective uncertain optimization problem is translated into a bi-objective one by conserving the expectation and the variance as two objectives, so that the algorithm can provide decision-makers with a group of solutions with different stabilities. Further, a parallel evolutionary mechanism based on message passing interface (MPI) is proposed to parallel the algorithm. The parallel mechanism adopts a double-level design, i.e., global level and sub-problem level. The global level acts as a master, which maintains the global population information. At the sub-problem level, the optimization problem is decomposed into a set of sub-problems which can be solved in parallel, thus reducing the computation time. Experimental results show that PDL-MOEA generally outperforms several state-of-the-art serial/parallel MOEAs in terms of accuracy, efficiency, and scalability.
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