基于灰色理论的价格控制问题及其算法

Price Control Problem Based on Grey Theory and Its Algorithm

针对排污收费的最优定价问题,提出了基于灰色理论的价格控制问题,并给出了该问题的模型及相关的定理。在约束域为非空紧集的条件下,证明了漂移型价格控制问题的最优解一定可以在约束域的极点达到。针对漂移型价格控制问题,采用价格控制问题的搜索算法的求解技术,把灰参数看做一个新的决策变量,将该问题转化为多个含参数的非线性规划问题。最后,通过一算例验证了模型及求解方法的有效性。

To solve the optimal pricing problems of the pollution charges , a price control problem based on Grey theory is presented , and its model and theorem are given .Under the assumption condition of the constraint region of the proposed model nonempty and compactness , it is shown that the optimal solution of the drifting price con-trol problem can be reached on the extreme points of the constraint region .To solve the drifting price control problem based on Grey theory , a search algorithm based on duality theory is developed , and the model of price control problem is converted to some nonlinear programming models on uncertain parameters , when consider the gray parameters as a new decision variables , Finally, an example is adopted to verify the effectiveness of the proposed algorithm .