An improved approximation algorithm for the disjoint 2-catalog segmentation problem

被引:0
|
作者
Zhou, Houchun [1 ,2 ]
Zhang, Dexue [1 ]
机构
[1] Linyi Teachers Coll, Dept Math, Linyi 276005, Shandong, Peoples R China
[2] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China
来源
OPERATIONS RESEARCH AND ITS APPLICATIONS | 2006年 / 6卷
基金
中国国家自然科学基金;
关键词
disjoint 2-catalog segmentation; approximation algorithm; semidefinite programming;
D O I
暂无
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
For the disjoint 2-catalog segmentation problem (may be inequivalent), we propose a improved polynomial-time randomized approximation algorithm, and obtain a performance ratios rho which is not less than 0.5 for a wide range of this problem. As a result, the 0.699-approximation algorithm for the disjoint equivalent 2-catalog segmentation problem can be obtained.
引用
收藏
页码:350 / +
页数:2
相关论文
共 50 条
  • [31] An approximation algorithm for the maximum spectral subgraph problem
    Cristina Bazgan
    Paul Beaujean
    Éric Gourdin
    Journal of Combinatorial Optimization, 2022, 44 : 1880 - 1899
  • [32] A 2-approximation algorithm for the network substitution problem
    Pisaruk, NN
    OPERATIONS RESEARCH LETTERS, 2006, 34 (01) : 94 - 96
  • [33] A 2 + ɛ approximation algorithm for the k-MST problem
    Sanjeev Arora
    George Karakostas
    Mathematical Programming, 2006, 107 : 491 - 504
  • [34] An approximation algorithm for the maximum spectral subgraph problem
    Bazgan, Cristina
    Beaujean, Paul
    Gourdin, Eric
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2022, 44 (03) : 1880 - 1899
  • [35] An improved lower bound and approximation algorithm for binary constrained quadratic programming problem
    Cheng Lu
    Zhenbo Wang
    Wenxun Xing
    Journal of Global Optimization, 2010, 48 : 497 - 508
  • [36] Improved Approximation Algorithm for the Fault-Tolerant Facility Placement Problem with Rejection
    Yu S.
    American Journal of Mathematical and Management Sciences, 2020, 39 (02) : 122 - 128
  • [37] An Improved Constant-Factor Approximation Algorithm for Planar Visibility Counting Problem
    Alipour, Sharareh
    Ghodsi, Mohammad
    Jafari, Amir
    COMPUTING AND COMBINATORICS, COCOON 2016, 2016, 9797 : 209 - 221
  • [38] An improved lower bound and approximation algorithm for binary constrained quadratic programming problem
    Lu, Cheng
    Wang, Zhenbo
    Xing, Wenxun
    JOURNAL OF GLOBAL OPTIMIZATION, 2010, 48 (03) : 497 - 508
  • [39] Approximation algorithm for the multicovering problem
    Gorgi, Abbass
    El Ouali, Mourad
    Srivastav, Anand
    Hachimi, Mohamed
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2021, 41 (02) : 433 - 450
  • [40] Approximation algorithm for the multicovering problem
    Abbass Gorgi
    Mourad El Ouali
    Anand Srivastav
    Mohamed Hachimi
    Journal of Combinatorial Optimization, 2021, 41 : 433 - 450