A (5/3+ε)-Approximation for Strip Packing

被引：0
|
作者：
Harren, Rolf [1 ]
Jansen, Klaus [2 ]
Praedel, Lars [2 ]
van Stee, Rob [1 ]
机构：
[1] MPII, Campus El 4, D-66123 Saarbrucken, Germany
[2] Univ Kiel, Inst Informat, D-24118 Kiel, Germany
来源：
ALGORITHMS AND DATA STRUCTURES | 2011年 / 6844卷
关键词：
strip packing; rectangle packing; approximation algorithm; absolute worst-case ratio; TWO-DIMENSIONAL PACKING; PERFORMANCE BOUNDS; BIN PACKING; ALGORITHMS; RECTANGLE;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：475 / +
页数：3
相关论文
共 50 条
  • [41] 2-supertransitive subfactors at index 3+√5
    Morrison, Scott
    Penneys, David
    JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (09) : 2845 - 2870
  • [42] Sphere packing, helices and the polytope {3, 3, 5}
    E.A. Lord
    S. Ranganathan
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2001, 15 : 335 - 343
  • [43] Adsorption of rare earth elements (Ce 3+, La 3+, and Nd 3+) and recovery from phosphogypsum leachate using a novel ZSM-5 zeolite
    Dotto, Guilherme Luiz
    Pinto, Diana
    Silva, Luis Felipe Oliveira
    Grimm, Alejandro
    Khan, Mohammad Rizwan
    Ahmad, Naushad
    de Brum, Irineu A. S.
    Mikkola, Jyri-Pekka
    dos Reis, Glaydson S.
    COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2024, 698
  • [44] EPR OF 5F5 CONFIGURATION IONS - PU(3+) AND AM(4+) IN THORIUM DIOXIDE AND PU(3+) IN STRONTIUM CHLORIDE
    BOATNER, LA
    ABRAHAM, MM
    FINCH, CB
    REYNOLDS, RW
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (03): : 361 - &
  • [45] Solving the packing and strip-packing problems with genetic algorithms.
    Gomez, A
    de la Fuente, D
    FOUNDATIONS AND TOOLS FOR NEURAL MODELING, PROCEEDINGS, VOL I, 1999, 1606 : 709 - 718
  • [46] An approximation algorithm for square packing
    van Stee, R
    OPERATIONS RESEARCH LETTERS, 2004, 32 (06) : 535 - 539
  • [47] Enhanced red emission in Yb 3+/Ho 3+/Cr 3+tridoped K 2 ErF 5 microcrystal
    Wang, Lili
    Zhang, Zehua
    Zhang, Xiaoyu
    Leng, Jing
    JOURNAL OF LUMINESCENCE, 2020, 225
  • [48] An approximation algorithm for maximum P3-packing in subcubic graphs
    Kosowski, Adrian
    Malafiejski, Michal
    Zylinski, Pawel
    INFORMATION PROCESSING LETTERS, 2006, 99 (06) : 230 - 233
  • [49] A 4/3-approximation algorithm for cassette packing in steel industry
    Hwang, Hark-Chin
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2007, 24 (05) : 715 - 724
  • [50] A 3-approximation algorithm for two-dimensional bin packing
    Zhang, GC
    OPERATIONS RESEARCH LETTERS, 2005, 33 (02) : 121 - 126
12345