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author:

Lin, G. (Lin, G..) [1] | Zhu, W. (Zhu, W..) [2]

Indexed by:

Scopus

Abstract:

The max-bisection problem consists in partitioning the vertices of a weighted undirected graph into two equally sized subsets so as to maximize the sum of the weights of crossing edges. It is an NP-hard combinatorial optimization problem that arises in many applications. In this paper, we present a memetic algorithm for the max-bisection problem, which integrates a new fast local search procedure, a crossover operator, and a pool updating strategy. These strategies achieve a balance between intensification and diversification. Extensive experiments were performed on a number of benchmark instances with 800 to 10,000 vertices from the literature. The proposed memetic algorithm improved the best known solutions for all benchmark instances tested in this paper. The improvement in terms of cut value over the CirCut by Burer et al. ranging from 0.02 to 4.15 percent, and the average time of our proposed memetic algorithm is much lower than that of CirCut. It shows that the proposed memetic algorithm can find high quality solutions in an acceptable running time. © 2013 IEEE.

Keyword:

combinatorial optimization; local search; memetic algorithm; The max-bisection problem

Community:

  • [ 1 ] [Lin, G.]Department of Mathematics, Minjiang University, Fuzhou 350108, China
  • [ 2 ] [Zhu, W.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou 350108, China

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Source :

IEEE Transactions on Computers

ISSN: 0018-9340

Year: 2014

Issue: 6

Volume: 63

Page: 1365-1376

1 . 6 5 9

JCR@2014

3 . 6 0 0

JCR@2023

ESI HC Threshold:195

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 23

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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