【摘要】 通过引入广义弧连通概念,在R~n空间中,研究极大极小非凸分式规划问题的最优性充分条件及其对偶问题.首先获得了极大极小非凸分式规划问题的最优性充分条件;然后建立分式规划问题的一个对偶模型并得到了弱对偶定理,强对偶定理和逆对偶定理.更多还原

【Abstract】 In R~n spaces,we study optimality sufficient conditions and dual model for non-convex maximum and minimal fractional problems,under arcwise connectedness and generalized arcwise connectedness assumptions. We discuss optimality sufficient conditions for fractional problems.A dual model is presented for the minmax fractional problems,and we obtain weak duality result,strong duality result and strict converse duality result for the dual model.更多还原