We study strip packing, which is one of the most classical two-dimensional packing problems: Given a collection of rectangles, the problem is to find a feasible orthogonal packing without rotations into a strip of width 1 and minimum height. In this paper we present an approximation algorithm for the strip packing problem with approximation ratio of 5/3 + epsilon for any epsilon > 0. This result significantly narrows the gap between the best known upper bounds of 2 by Schiermeyer and Steinberg and 1.9396 by Harren and van Stee and the lower bound of 3/2.
机构:Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
Zhang, GC
Cai, XQ
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机构:Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
Cai, XQ
Wong, CK
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Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
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Yunnan Univ, Sch Math & Stat, Kunming 650504, Peoples R China
Yunnan Univ, Dianchi Coll, Kunming 650228, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650504, Peoples R China
Li, Weidong
Sun, Ruiqing
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Yunnan Univ, Sch Math & Stat, Kunming 650504, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650504, Peoples R China