Min-max partitioning problem with matroid constraint

被引：0
|
作者：
Wu, Biao [1 ]
Yao, En-yu [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A | 2008年 / 9卷 / 10期
基金：
中国国家自然科学基金;
关键词：
matroid; matroid partition; worst ratio;
D O I：
10.1631/jzus.A071606
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider the set partitioning problem with matroid constraint, which is a generation of the k-partitioning problem. The objective is to minimize the weight of the heaviest subset. We present an approximation algorithm, which consists of two sub-algorithms-the modified Edmonds' matroid partitioning algorithm and the exchange algorithm, for the problem. An estimation of the worst ratio for the algorithm is given.
引用
收藏
页码：1446 / 1450
页数：5
相关论文
共 50 条
  • [41] A MIN-MAX PROBLEM OF OPTIMAL ACTUATOR PLACEMENT FOR LIFTING
    BEINER, L
    ROBOTICA, 1995, 13 : 619 - 622
  • [42] ALTERNATIVE APPROACH TO SHAKEDOWN AS A SOLUTION OF A MIN-MAX PROBLEM
    PYCKO, S
    MROZ, Z
    ACTA MECHANICA, 1992, 93 (1-4) : 205 - 222
  • [43] The min-max edge q-coloring problem
    Larjomaa, Tommi
    Popa, Alexandru
    Journal of Graph Algorithms and Applications, 2015, 19 (01) : 505 - 528
  • [44] The Min-max Edge q-Coloring Problem
    Larjomaa, Tommi
    Popa, Alexandru
    COMBINATORIAL ALGORITHMS, IWOCA 2014, 2015, 8986 : 226 - 237
  • [45] Optimal tilt lifting of beams as a min-max problem
    F. Tin-Loi
    Z. Lee
    Structural and Multidisciplinary Optimization, 2004, 26 : 160 - 168
  • [46] THE MULTI-FACILITY MIN-MAX WEBER PROBLEM
    WATSONGANDY, CDT
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1984, 18 (01) : 44 - 50
  • [47] Heuristics for the min-max arc crossing problem in graphs
    Marti, Rafael
    Campos, Vicente
    Hoff, Arild
    Peird, Juanjo
    EXPERT SYSTEMS WITH APPLICATIONS, 2018, 109 : 100 - 113
  • [48] Approximation schemes for the min-max starting time problem
    Epstein, L
    Tassa, T
    MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2003, PROCEEDINGS, 2003, 2747 : 408 - 418
  • [49] Min-Max Circuits as a Problem Solving Tool(s)
    Kovacevic, Darko
    2013 36TH INTERNATIONAL CONVENTION ON INFORMATION AND COMMUNICATION TECHNOLOGY, ELECTRONICS AND MICROELECTRONICS (MIPRO), 2013, : 1 - 10
  • [50] On the Min-Max 2-Cluster Editing Problem
    Chen, Li-Hsuan
    Chang, Maw-Shang
    Wang, Chun-Chieh
    Wu, Bang Ye
    JOURNAL OF INFORMATION SCIENCE AND ENGINEERING, 2013, 29 (06) : 1109 - 1120
12345