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尺寸可变的装箱问题的近似算法的研究
引用本文:张玉栋,蔡静,郝自军,何尚录.尺寸可变的装箱问题的近似算法的研究[J].兰州铁道学院学报,2007,26(1):146-148.
作者姓名:张玉栋  蔡静  郝自军  何尚录
作者单位:兰州交通大学数理与软件工程学院 甘肃兰州730070(张玉栋,郝自军,何尚录),贵州大学理学院 贵州贵阳550000(蔡静)
摘    要:给定物品系列,要求将所有物品装入到不同类型的箱子中,以实现从第1个箱子到最后1个箱子被使用的箱子的总尺寸最小化.用最坏情况绝对性能研究在线算法,给出了一种最坏情况绝对性能比是3的近似算法.作为这种算法的应用,给出了一种脱线算法,其最坏情况绝对性能比是2.

关 键 词:尺寸可变的装箱问题  近似算法  最坏情况绝对性能分析
文章编号:1001-4373(2007)01-0146-03
修稿时间:2006-09-16

Approximation Algorithms for Variable-sized Bin Packing
Zhang Yudong,Cai Jing,Hao Zijun,He Shanglu.Approximation Algorithms for Variable-sized Bin Packing[J].Journal of Lanzhou Railway University,2007,26(1):146-148.
Authors:Zhang Yudong  Cai Jing  Hao Zijun  He Shanglu
Abstract:For a list of given items,how to pack them into a list of variable-sized bins in sequence so as to minimize the total size of bins ranging from the first one to the last one.The on-line algorithms is studied in terms of the absolute worst-case ratio.A simple on-line algorithm is shown to have an absolute worst-case ratio of 3.Also,we present a very simple off-line algorithm by applying the algorithm to a sorted list of items.It proves that the absolute worst-case ratio is 2.
Keywords:variable-sized bin packing  on-line approximation algorithm  absolute worst-case performance analysis
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