Corner occupying theorem for the two-dimensional integral rectangle packing problem

Corner occupying theorem for the two-dimensional integral rectangle packing problem
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二维积分矩形堆积问题的角点占据定理

DOI:
10.1007/s11432-012-4702-8
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发表时间:
2011-11
期刊:
Science China Information Sciences
影响因子:
--
通讯作者:
Chen DuanBing
Chen DuanBing
中科院分区:
其他
文献类型:
--
作者:
Huang WenQi;Ye Tao;Chen DuanBing

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This paper proves a corner occupying theorem for the two-dimensional integral rectangle packing problem, stating that if it is possible to orthogonally placenarbitrarily given integral rectangles into an integral rectangular container without overlapping, then we can achieve a feasible packing by successively placing a rectangle onto a bottom-left corner in the container. Based on this theorem, we might develop efficient heuristic algorithms for solving the integral rectangle packing problem. In fact, as a vague conjecture, this theorem has been implicitly mentioned with different appearances by many people for a long time.
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