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An Asymptotic Strong Duality |Method for Integer Programming
整数规划的渐进强对偶方法

Keywords: Integer programming,Lagrangian relaxation,Duality gap,Quasi dual formulation
整数规划
,Lagrange松弛,对偶间隙,拟对偶公式

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Abstract:

Although the Lagrangian method is a powerful dual search method in integer programming, it often fails to identify the optimal solution of the primal problem. In this paper, a quasi dual formulation is proposed for bounded integer programming. This formulation possesses an asymptotic strong duality property and guarantees a success for identifying an optimum solution. Its another feature is that no actual dual search is needed when the parameters of the method are set to be suitable.

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