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A hybrid metaheuristic approach for the capacitated arc routing problem

机译:一种用于容量电弧布线问题的混合元启发式方法

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摘要

The capacitated arc routing problem (CARP) is a difficult combinatorial optimization problem that has been intensively studied in the last decades. We present a hybrid metaheuristic approach (HMA) to solve this problem which incorporates an effective local refinement procedure, coupling a randomized tabu thresholding procedure with an infeasible descent procedure, into the memetic framework. Other distinguishing features of HMA include a specially designed route-based crossover operator for solution recombination and a distance-and-quality based replacement criterion for pool updating. Extensive experimental studies show that HMA is highly scalable and is able to quickly identify either the best known results or improved best known results for almost all currently available CARP benchmark instances. In particular, it discovers an improved best known result for 15 benchmark instances (6 classical instances and 9 large-sized instances whose optima are unknown). Furthermore, we analyze some key elements and properties of the HMA-CARP algorithm to better understand its behavior.
机译:电容弧布线问题(CARP)是一个困难的组合优化问题,在最近几十年中已进行了深入研究。我们提出了一种混合元启发式方法(HMA)来解决此问题,该方法结合了有效的局部细化过程,将随机禁忌阈值过程与不可行的下降过程耦合到了模因框架中。 HMA的其他显着特征包括专门设计的基于路由的交叉算子,用于解决方案重组,以及基于距离和质量的替换准则,用于池更新。大量的实验研究表明,HMA具有高度的可扩展性,并且能够针对几乎所有当前可用的CARP基准实例快速识别出最著名的结果或改善的最著名的结果。尤其是,它发现了针对15个基准实例(6个经典实例和9个最佳实例未知的大型实例)的最佳已知结果。此外,我们分析了HMA-CARP算法的一些关键元素和属性,以更好地了解其行为。

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