On modeling and global solutions for d.c. optimization problems by canonical duality theory

Autor:	Jin, Zhong, Gao, David Y
Rok vydání:	2016
Předmět:	Mathematics - Optimization and Control 90C26 90C30 90C46
Druh dokumentu:	Working Paper
Popis:	This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex systems. It shows that by using the canonical duality theory, a large class of nonconvex minimization problems can be equivalently converted to a unified concave maximization problem over a convex domain, which can be solved easily under certain conditions. Additionally, a detailed proof for triality theory is provided, which can be used to identify local extremal solutions. Applications are illustrated and open problems are presented. Comment: 18 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.03426 Zobrazit plný text záznamu View this record from Arxiv