Rank-Two Relaxation Heuristics for MAX-CUT and Other Binary Quadratic Programs
SIAM Journal on Optimization
A Spectral Bundle Method for Semidefinite Programming
SIAM Journal on Optimization
On greedy construction heuristics for the MAX-CUT problem
International Journal of Computational Science and Engineering
Global equilibrium search applied to the unconstrained binary quadratic optimization problem
Optimization Methods & Software
Advanced Scatter Search for the Max-Cut Problem
INFORMS Journal on Computing
Solving the maxcut problem by the global equilibrium search
Cybernetics and Systems Analysis
Solving weighted MAX-SAT via global equilibrium search
Operations Research Letters
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In this paper, the potential of the path relinking method for the maximum cut problem is investigated. This method is embedded within global equilibrium search to utilize the set of high quality solutions provided by the latter. The computational experiment on a set of standard benchmark problems is provided to study the proposed approach. The empirical experiments reveal that the large sizes of the elite set lead to restart distribution of the running times, i.e., the algorithm can be accelerated by simply removing all of the accumulated data set P and re-initiating its execution after a certain number of elite solutions is obtained.