Metaheuristic Enhanced with Feature-Based Guidance and Diversity Management for Solving the Capacitated Vehicle Routing Problem

Bachtiar Herdianto, Romain Billot, Flavien Lucas, Marc Sevaux
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Abstract

We propose a metaheuristic algorithm enhanced with feature-based guidance that is designed to solve the Capacitated Vehicle Routing Problem (CVRP). To formulate the proposed guidance, we developed and explained a supervised Machine Learning (ML) model, that is used to formulate the guidance and control the diversity of the solution during the optimization process. We propose a metaheuristic algorithm combining neighborhood search and a novel mechanism of hybrid split and path relinking to implement the proposed guidance. The proposed guidance has proven to give a statistically significant improvement to the proposed metaheuristic algorithm when solving CVRP. Moreover, the proposed guided metaheuristic is also capable of producing competitive solutions among state-of-the-art metaheuristic algorithms.
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用基于特征的引导和多样性管理增强元搜索法解决拥挤车辆路由问题
我们提出了一种基于特征引导的元启发式算法,旨在解决有容量车辆路由问题(CVRP)。为了制定所建议的指导,我们开发并解释了一个有监督的机器学习(ML)模型,该模型用于在优化过程中制定指导和控制解决方案的多样性。我们提出了一种将邻域搜索与混合拆分和路径重链接的新机制相结合的超启发式算法来实现所提出的指导。事实证明,在求解 CVRP 时,所提出的指导对元启发式算法有显著的改进。此外,与其他最先进的元启发式算法相比,所提出的引导式元启发式也能产生有竞争力的解决方案。
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