CAJ | 학술논문

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。
침대배오수비적최우정개문제，제출료기우회색이론적개격공제문제，병급출료해문제적모형급상관적정리。재약속역위비공긴집적조건하，증명료표이형개격공제문제적최우해일정가이재약속역적겁점체도。침대표이형개격공제문제，채용개격공제문제적수색산법적구해기술，파회삼수간주일개신적결책변량，장해문제전화위다개함삼수적비선성규화문제。최후，통과일산례험증료모형급구해방법적유효성。
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 .