A preference based multi-objective evolutionary algorithm is proposed for generating solutions in an automatically detected knee point region. It is named Automatic Preference based DI-MOEA (AP-DI-MOEA) where DI-MOEA stands for Diversity-Indicator based Multi-Objective Evolutionary Algorithm). AP-DI-MOEA has two main characteristics: firstly, it generates the preference region automatically during the optimization; secondly, it concentrates the solution set in this preference region. Moreover, the real-world vehicle fleet maintenance scheduling optimization (VFMSO) problem is formulated, and a customized multi-objective evolutionary algorithm (MOEA) is proposed to optimize maintenance schedules of vehicle fleets based on the predicted failure distribution of the components of cars. Furthermore, the customized MOEA for VFMSO is combined with AP-DI-MOEA to find maintenance schedules in the automatically generated preference region. Experimental results on multi-objective benchmark problems and our three-objective real-world application problems show that the newly proposed algorithm can generate the preference region accurately and that it can obtain better solutions in the preference region. Especially, in many cases, under the same budget, the Pareto optimal solutions obtained by AP-DI-MOEA dominate solutions obtained by MOEAs that pursue the entire Pareto front.
翻译:为了在自动检测到的膝盖点区域产生解决办法,提出了基于偏好的多客观进化算法,称为自动偏好的D-MOEA(AP-DI-MOEA)(MOEA),DI-MOEA代表基于多样性指标的多目标进化电算法)。AP-DI-MOEA有两个主要特点:第一,在优化期间自动产生偏好区域;第二,它集中在这个偏好区域确定的解决办法。此外,还提出了现实世界车队维修时间安排优化问题,并提议根据汽车部件的预期故障分布优化车队保养时间表。此外,定制的VFMSOMOEA与AP-DI-MOEA结合,在自动生成的偏好区域寻找维护时间表。多目标基准问题和我们三个目标实际应用问题的实验结果表明,新提出的算法可以准确产生偏好区域,而且可以在偏好区域获得更好的解决办法。特别是,在许多情况下,根据同一预算,Pareto MOEA在采用全亚太建筑研究所获得的最佳解决方案。