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高效求解三维装箱问题的剩余空间最优化算法

尚正阳 顾寄南 唐仕喜 孙晓红

计算机工程与应用2019,Vol.55Issue(5):44-50,7.
计算机工程与应用2019,Vol.55Issue(5):44-50,7.DOI:10.3778/j.issn.1002-8331.1808-0176

高效求解三维装箱问题的剩余空间最优化算法

Efficient Residual-Space-Optimization Algorithm for Three Dimensional Container Loading Problem

尚正阳 1顾寄南 2唐仕喜 2孙晓红2

作者信息

  • 1. 安徽工程大学 机械与汽车工程学院,安徽 芜湖 241000
  • 2. 江苏大学 制造业信息化研究中心,江苏 镇江 212000
  • 折叠

摘要

Abstract

A Three-Dimensional Residual-Space-Optimized algorithm(3D-RSO)is proposed to efficiently solve 3D container loading problems. Under the condition of satisfying three famous constraints, 3D-RSO transforms a 3D problem into a 2D problem with height constraint. Through state analysis of the remaining space, it puts forward a probability-based spatial segmentation method and box layout rule respectively. Compared with traditional algorithms, 3D-RSO doesn’t need any preprocessing or searching operation during the solving process, and is a direct solving algorithm with the worst computational complexity O(2n2) . Experiments on strongly heterogeneous data-sets show 3D-RSO can efficiently solve 3D packing problem within very short time. Thus, this heuristic is suitable for some cases that are at large scale or should be solved quickly.

关键词

三维装箱问题/启发式算法/快速求解/调度优化

Key words

three-dimensional container loading problem/ heuristic algorithm/ fast solving algorithm/ scheduling optimization

分类

信息技术与安全科学

引用本文复制引用

尚正阳,顾寄南,唐仕喜,孙晓红..高效求解三维装箱问题的剩余空间最优化算法[J].计算机工程与应用,2019,55(5):44-50,7.

基金项目

国家自然科学基金河南省联合基金(No.U1604149) (No.U1604149)

河南省教育厅自然科学重点基金(No.19A520006,No.18A520041) (No.19A520006,No.18A520041)

河南省教育厅青年骨干教师资助项目(No.2016GGJS-158) (No.2016GGJS-158)

洛阳理工学院高层次人才资助计划(No.2017BZ07). (No.2017BZ07)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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