Abstract
In recent years the binary quadratic program has grown in combinatorial optimization. Quadratic programming can be formulated as a semidefinite programming problem. In this paper, we consider the general form of binary semidefinite programming problems (BSDP). We show the optimal solutions of the BSDP belong to the efficient set of a semidefinite multiobjective programming problem (SDMOP). Although finding all efficient points for multiobjective is not an easy problem, but solving a continuous problem would be easier than a discrete variable problem. In this paper, we solve an SDMOP, as an auxiliary, instead of BSDP. We show the performance of our method by generating and solving random problems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Nonlinear Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
