A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mu, Xuewen& Zhang, Yaling. 2013. A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-511873
Modern Language Association (MLA)
Mu, Xuewen& Zhang, Yaling. A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-511873
American Medical Association (AMA)
Mu, Xuewen& Zhang, Yaling. A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-511873
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511873