We excavate the wisdom from an old Chinese proverb ＂gold corner, silver side and strawy void＂, and further improve it into ＂maximum value in diamond cave＂ for solving the NP-hard cuboid packing problem. We extract...We excavate the wisdom from an old Chinese proverb ＂gold corner, silver side and strawy void＂, and further improve it into ＂maximum value in diamond cave＂ for solving the NP-hard cuboid packing problem. We extract, integrate and formalize the idea by west modern mathematical tools, and propose a pure quasi-human algorithm. The performance of the algorithm is evaluated on two sets of public benchmarks. For 100 strongly heterogeneous difficult benchmarks, experiments show an average packing utilization of 87.31%, which surpasses current best record reported in the literature by 1.83%. For 47 difficult benchmarks without orientation constraint, experiments show an average volume utilization of 92.05%, which improves current best record reported in the literature by 1.05%.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 60773194)the National Basic Research Program of China (GrantNo. 2004CB318000)Postdoctoral Science Foundation of China (Grant No. 20070420174)
文摘We excavate the wisdom from an old Chinese proverb ＂gold corner, silver side and strawy void＂, and further improve it into ＂maximum value in diamond cave＂ for solving the NP-hard cuboid packing problem. We extract, integrate and formalize the idea by west modern mathematical tools, and propose a pure quasi-human algorithm. The performance of the algorithm is evaluated on two sets of public benchmarks. For 100 strongly heterogeneous difficult benchmarks, experiments show an average packing utilization of 87.31%, which surpasses current best record reported in the literature by 1.83%. For 47 difficult benchmarks without orientation constraint, experiments show an average volume utilization of 92.05%, which improves current best record reported in the literature by 1.05%.
基金国家自然科学基金(the National Natural Science Foundation of Chinaunder Grant No.10471051)国家重点基础研究发展规划(973)项目(the National Grand Fundamental Research 973 Program of Chinaunder Grant No.2004CB318000)。
