菲力浦多目标单纯形法在地下水资源管理模型中的应用

Application of Philip's multiple objectives simplex method to groundwater resource management model

常用的多目标管理模型的求解方法,都是将多目标转化为单目标后,利用单目标规划的方法求解,人为地确定其重要性,影响了模型的客观性。菲力浦多目标单纯形法首先寻找一个可行解,接着进行搜索以确定是否存在能使这个具体的解达到最大的权数,改进了传统加权法人为确定权数的随意性和难度,避免了管理模型求解的人为因素,使管理模型更具有客观性。最后将该方法应用于太原东山煤矿排水供水结合管理,计算结果正确。

The common solution method of multiple objective management model is to solve the problem by using the method of single objective programming after changing the multiple objectives into a single objective. This will affect the model＇s objectivity since the weightiness is determined artificially. Using the Philip＇s multiple objectives simplex method can ameliorate the randomness and difficulty of a traditional weight method. A possible solution should be found out at the first step when using the Philip＇ s multiple objectives simplex method, and a weight number that can lead to the biggest solution is searched. This method can avoid the artificial factors and make the model more objectively. Finally, it is used in the mine management model which combine water supply with drainage in the Dongshan coal mine near Taiyuan.