论文标题
DMFEA-II:一种基于置换的离散优化问题的自适应多因素进化算法
dMFEA-II: An Adaptive Multifactorial Evolutionary Algorithm for Permutation-based Discrete Optimization Problems
论文作者
论文摘要
新兴的研究范式认为是多任务优化的旨在通过单个搜索过程同时解决多个优化任务。为此,要解决的任务之间对互补性的开发至关重要,这通常是通过遗传物质的转移来实现的,从而伪造了转移优化领域。在这种情况下,进化多任务通过诉诸于进化计算的概念来解决此范式。在该特定分支中,诸如多因素进化算法(MFEA)之类的方法最近在解决多个优化任务时获得了明显的动力。这项工作通过提出最近引入的多因素进化算法II(MFEA-II)的首次改编来促进这一趋势。为了建模这种适应性,某些概念不能直接应用于离散的搜索空间,例如以母体为中心的交互。在本文中,我们完全重新制定了此类概念,使它们适合处理基于置换的搜索空间,而不会失去MFEA-II的固有好处。已对拟议求解器的性能进行了评估,该求解器已通过5种不同的多任务设置进行了评估,该设置由著名的旅行推销员(TSP)的8个数据集和电容的车辆路由问题(CVRP)组成。获得的结果及其与MFEA的离散版本的比较证实了开发的DMFEA-II的良好性能,并同意以前研究中的见解以进行连续优化。
The emerging research paradigm coined as multitasking optimization aims to solve multiple optimization tasks concurrently by means of a single search process. For this purpose, the exploitation of complementarities among the tasks to be solved is crucial, which is often achieved via the transfer of genetic material, thereby forging the Transfer Optimization field. In this context, Evolutionary Multitasking addresses this paradigm by resorting to concepts from Evolutionary Computation. Within this specific branch, approaches such as the Multifactorial Evolutionary Algorithm (MFEA) has lately gained a notable momentum when tackling multiple optimization tasks. This work contributes to this trend by proposing the first adaptation of the recently introduced Multifactorial Evolutionary Algorithm II (MFEA-II) to permutation-based discrete optimization environments. For modeling this adaptation, some concepts cannot be directly applied to discrete search spaces, such as parent-centric interactions. In this paper we entirely reformulate such concepts, making them suited to deal with permutation-based search spaces without loosing the inherent benefits of MFEA-II. The performance of the proposed solver has been assessed over 5 different multitasking setups, composed by 8 datasets of the well-known Traveling Salesman (TSP) and Capacitated Vehicle Routing Problems (CVRP). The obtained results and their comparison to those by the discrete version of the MFEA confirm the good performance of the developed dMFEA-II, and concur with the insights drawn in previous studies for continuous optimization.