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arXiv 2609.39272cs.NEcs.DCmath.OC

基于岛屿并行偏置随机密钥遗传算法的三维拖车装载问题

An Island-Based Parallel Biased Random-Key Genetic Algorithm for the Three-Dimensional Trailer Loading Problem

  • Intelligent Systems Department Gradiant Vigo, Spain(格拉迪安特智能系统部)

机构由 AI 辅助整理,请以论文原文为准。

A. del Río, L. Díaz, L. C. de Vicente, J. Cameselle, B. Fernández

AI总结:

针对NP难的三维拖车装载问题,提出基于岛屿并行框架PANGEA加速的偏置随机密钥遗传算法,提升种群多样性、缓解早熟收敛并显著降低计算时间,经真实装载过程验证有效。

AI中文摘要:

三维拖车装载问题(3D-TLP)涉及在拖车的受限空间内确定异构物品的最佳放置位置和朝向,同时最大化体积利用率并满足一系列复杂的物流和安全约束。3D-TLP是NP难的,这使得精确优化方法在大规模工业应用中计算上不可行。为了解决这一挑战,我们提出了一种增强的偏置随机密钥遗传算法(BRKGA),并通过一种新颖的基于岛屿的并行化框架PANGEA进行加速。所提出的方法将BRKGA的搜索效率和鲁棒性与遗传算法的多群体进化方案相结合。这种岛屿模型策略促进了种群多样性,缓解了过早收敛,并显著减少了计算时间。所提出的解决方案在真实的拖车装载过程中得到了验证,为现实世界的大规模物流提供了一种有效的求解方法。

英文摘要:

The Three-Dimensional Trailer Loading Problem (3D-TLP) involves determining the optimal placement and orientation of heterogeneous items within the confined space of a trailer while maximizing volume utilization and satisfying a wide range of complex logistical and safety constraints. The 3D-TLP is NP-hard, rendering exact optimization approaches computationally impractical for large-scale industrial applications. To address this challenge, we propose an enhanced Biased Random-Key Genetic Algorithm (BRKGA) accelerated through a novel island-based parallelization framework, PANGEA. The proposed method combines the search efficiency and robustness of BRKGA with a multi-population evolutionary scheme for genetic algorithms. This island-model strategy promotes population diversity, mitigates premature convergence, and significantly reduces computational times. The proposed solution was validated in a real trailer loading process, providing an effective solution approach for real-world large-scale logistics.

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