Quadratic 0-1 problems with linear inequality constraints are briefly considered in this paper.Global optimality conditions for these problems,including a necessary condition and some sufficient conditions,are present...Quadratic 0-1 problems with linear inequality constraints are briefly considered in this paper.Global optimality conditions for these problems,including a necessary condition and some sufficient conditions,are presented.The necessary condition is expressed without dual variables.The relations between the global optimal solutions of nonconvex quadratic 0-1 problems and the associated relaxed convex problems are also studied.展开更多
文摘Quadratic 0-1 problems with linear inequality constraints are briefly considered in this paper.Global optimality conditions for these problems,including a necessary condition and some sufficient conditions,are presented.The necessary condition is expressed without dual variables.The relations between the global optimal solutions of nonconvex quadratic 0-1 problems and the associated relaxed convex problems are also studied.
基金国家自然科学基金( the National Natural Science Foundation of China under Grant No.30570431)国家高技术研究发展计划( 863)( the National High-Tech Research and Development Plan of China under Grant No.2006AA01Z104)+4 种基金国家教育部新世纪人才支持计划( the New Century Excellent Talent Foundation from MOE of China under Grant No.NCET- 06- 555)安徽省优秀青年基金( No.06042088)安徽省教育厅自然科学( No.2006kj068A No.KJ2007B173)安徽省人才基金资助。
