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Global optimality conditions for quadratic 0-1 programming with inequality constraints 被引量:1

Global optimality conditions for quadratic 0-1 programming with inequality constraints
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摘要 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. 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.
出处 《Journal of Shanghai University(English Edition)》 CAS 2010年第2期150-154,共5页 上海大学学报(英文版)
关键词 quadratic 0-1 programming optimality condition nonconvex optimization integer programming convex duality quadratic 0-1 programming, optimality condition, nonconvex optimization, integer programming, convex duality
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