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arXiv 1908.10705cs.LGcs.AIstat.ML
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利用数据挖掘改进最小延迟问题的最新启发式算法

Improving a State-of-the-Art Heuristic for the Minimum Latency Problem with Data Mining

Universidade Federal Fluminense(弗鲁米嫩塞联邦大学)

Ítalo Santana, Alexandre Plastino, Isabel Rosseti

AI总结:

本研究针对两种最小延迟问题变体,用数据挖掘技术改进基于GRASP的最新启发式算法,既提升大量算例的解质量又缩短运行时间,并补充88个新解成本值。

摘要:

近年来,混合元启发式算法已成为运筹学领域的一大趋势。一个成功的案例是将贪婪随机自适应搜索过程(Greedy Randomized Adaptive Search Procedures,GRASP)与数据挖掘技术相结合,其中在高质量解中发现的频繁模式能够实现对搜索空间的高效探索,同时显著减少计算时间。在本研究中,我们针对两种最小延迟问题(Minimum Latency Problem,MLP)变体,利用数据挖掘技术改进了一种基于GRASP的MLP最新启发式算法。计算实验表明,采用数据挖掘的方法能够在大量算例上匹配或提升解的质量,同时大幅缩短运行时间。此外,本文还为文献补充了88个新的解成本值。为支撑我们的研究结果,本文还开展了统计显著性检验、挖掘模式的影响分析、等时比较以及目标时间图测试。

英文摘要:

Recently, hybrid metaheuristics have become a trend in operations research. A successful example combines the Greedy Randomized Adaptive Search Procedures (GRASP) and data mining techniques, where frequent patterns found in high-quality solutions can lead to an efficient exploration of the search space, along with a significant reduction of computational time. In this work, a GRASP-based state-of-the-art heuristic for the Minimum Latency Problem (MLP) is improved by means of data mining techniques for two MLP variants. Computational experiments showed that the approaches with data mining were able to match or improve the solution quality for a large number of instances, together with a substantial reduction of running time. In addition, 88 new cost values of solutions are introduced into the literature. To support our results, tests of statistical significance, impact of using mined patterns, equal time comparisons and time-to-target plots are provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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