价格控制问题精确罚等价形式的研究

Study on the exact penalty equivalent forms of price control problem

针对价格控制问题具有的内在特点,利用均衡互补及精确罚函数的相关理论,把具有二层特性的价格控制问题转化为与其等价的具有等式和不等式约束的单层数学规划,从而为研究此类问题的最优性条件和求解算法提供一定的依据.最后借助得到的结果求得了一个算例的局部最优解.

According to the internal character of price control problem, the authors use the related results of exact penalty function and equilibrium complementarities to trausform the price control problem with bi -level special property into equivalent single level mathematical program that consists of equality and inequality constraints, consequently, to offer some basis for optimality condition and algorithm of this problem. Finally, using the obtained resuits, the local optimal solution of a given example is obtained.