American Institute of Mathematical Sciences

Advanced
October  2009, 5(4): 881-892. doi: 10.3934/jimo.2009.5.881

New sufficient global optimality conditions for linearly constrained bivalent quadratic optimization problems

Yong Xia 1,

1. 

LMIB of the Ministry of Education, School of Mathematics and System Sciences, Beihang University, Beijing, 100191, China

Received  October 2008 Revised  June 2009 Published  August 2009

In this article, we obtain new sufficient global optimality conditions for bivalent quadratic optimization problems with linearly (equivalent and inequivalent) constraints, by exploring the local optimality condition. The global optimality condition can be further simplified when applied to special cases such as the $p$-dispersion-sum problem and the quadratic assignment problem.
Keywords: optimality condition, 0-1 quadratic programming, quadratic assignment problem., integer programming.
Mathematics Subject Classification: 90C20, 90C26, 90C0.
Citation: Yong Xia. New sufficient global optimality conditions for linearly constrained bivalent quadratic optimization problems. Journal of Industrial & Management Optimization, 2009, 5 (4) : 881-892. doi: 10.3934/jimo.2009.5.881
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