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A multiple penalty function method for solving Max-Bisection problems

delete2006-02-01
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PRE
AI
F
Fengmin Xu
C
Chengxian Xu
H
Honggang Xue
DOI:10.1016/j.amc.2005.04.012delete
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Abstract

Abstract

En 中文
A continuation algorithm for the solution of Max-Bisection problems is proposed in this paper. Unlike available relaxation algorithms for Max-Bisection problems, the Max-Bisection problems are converted to an equivalent continuous nonlinear programming by employing NCP functions, and the resulting nonlinear programming problem is then solved using the augmented Lagrange penalty function method. The convergence property and finite termination property of the proposed algorithm are studied, and numerical experiments and comparisons on the simple circuit partitioning problems are made. Results reported in section Numerical experiments show the algorithm generates satisfactory solutions to test problems. (c) 2005 Elsevier Inc. All rights reserved.
Keywords:
Max-Bisection problem
multiple penalty function
NCP function
circuit partitioning problem
semidefinite programming

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

No organization information available