对于下层为线性规划问题的一类非线性二层规划问题,文章利用线性规划的对偶理论, 将其转化为一个单层优化问题.除了添加下层问题的对偶间隙作为惩罚项外,
还通过一个目标罚参数来调整上层问题的目标函数值,进而给出了一个求解此类二层规划问题的目标罚函数方法. 最后,数值结果表明, 所提出的方法是可行的.

In this paper, we consider a class of nonlinear ilevel programming problem in which the lower level is a linear programming problem. Using the dual theory, the original problem is transformed into a single level optimization problem. It not only appends the duality gap of the lower level problem with a penalty,
but also gives an objective penalty parameter to adjust the value of the upper level objective function. Then, we construct an objective penalty function method for such a problem. Finally, some numerical results show that the proposed method is feasible.