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arXiv · 1111.3715

Corner Occupying Theorem for the Two-dimensional Integral Rectangle Packing Problem

Wenqi Huang·Tao Ye·Duanbing Chen
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Abstract

This paper proves a corner occupying theorem for the two-dimensional integral rectangle packing problem, stating that if it is possible to orthogonally place n arbitrarily given integral rectangles into an integral rectangular container without overlapping, then we can achieve a feasible packing by successively placing an integral 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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Wenqi Huang, Tao Ye, Duanbing Chen. 2011-11-16. Corner Occupying Theorem for the Two-dimensional Integral Rectangle Packing Problem. https://arxiv.org/abs/1111.3715

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