TY - JOUR
A2 - Muglia, Luigi
AU - Mu, Xuewen
AU - Zhang, Yaling
PY - 2013
DA - 2013/11/14
TI - A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming
SP - 963563
VL - 2013
AB - Based on the semidefinite programming relaxation of the binary quadratic programming, a rank-two feasible direction algorithm is presented. The proposed algorithm restricts the rank of matrix variable to be two in the semidefinite programming relaxation and yields a quadratic objective function with simple quadratic constraints. A feasible direction algorithm is used to solve the nonlinear programming. The convergent analysis and time complexity of the method is given. Coupled with randomized algorithm, a suboptimal solution is obtained for the binary quadratic programming. At last, we report some numerical examples to compare our algorithm with randomized algorithm based on the interior point method and the feasible direction algorithm on max-cut problem. Simulation results have shown that our method is faster than the other two methods.
SN - 1110-757X
UR - https://doi.org/10.1155/2013/963563
DO - 10.1155/2013/963563
JF - Journal of Applied Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -