New upper bounds for online strip packing

New upper bounds for online strip packing
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在线带状包装的新上限

DOI:
10.1016/j.disopt.2016.11.004
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发表时间:
2017-02
影响因子:
1.1
通讯作者:
Jiaoliao Xiao
Jiaoliao Xiao
中科院分区:
数学4区
文献类型:
--
作者:
Guosong Yu;Yanling Mao;Jiaoliao Xiao

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In this paper, we consider the online strip packing problem, in which a list of online rectangles has to be packed without overlap or rotation into one or more strips of width 1 and infinite height so as to minimize the required height of the packing. By analyzing a two-phase shelf algorithm, we derive a new upper bound 6.4786 on the competitive ratio for online one strip packing. This result improves the best known upper bound of 6.6623. We also extend this algorithm to online multiple strips packing and present some numeric upper bounds on their competitive ratios which are better than the previous bounds.
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