Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Hardness of Approximation for Two-Dimensional Vector Packing Problem with Large Items

큰 사이즈 아이템들에 대한 2차원 벡터 패킹문제의 어려움

  • Hwang, Hark-Chin (Department of Industrial Engineering, Chosun University) ;
  • Kang, Jang-Ha (Department of Industrial Engineering, Chosun University)
  • 황학진 (조선대학교 공과대학 산업공학과) ;
  • 강장하 (조선대학교 공과대학 산업공학과)
  • Received : 2011.04.25
  • Accepted : 2011.11.09
  • Published : 2012.03.01
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Abstract

We consider a two-dimensional vector packing problem in which each item has size in x- and y-coordinates. The purpose of this paper is to provide a ground work on how hard two-dimensional vector packing problems are for large items. We prove that the problem with each item greater than 1/2-${\varepsilon}$ either in x- or y-coordinates for 0 < ${\varepsilon}$ ${\leq}$ 1/6 has no APTAS unless P = NP.

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References

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