二次规划在调水决策和水分配问题中的应用

首先用二次函数建立了企业用水量与其用水效益的关系,然后根据这种关系,利用拉格朗日乘数法来确定该地区最优化水资源分配方案,并得到了该地区总的用水量与用水效益的关系,最终建立了区域调水中各地区间的调水总量的分配模型。此时原问题转化为一个典型的二次规划问题,结合各个地区的用水效益情况,可实现对各地区、各行业分水。利用假设的理想数据对模型进行检验,取得了较好的结果。对南水北调的实际情况,根据北方6个缺水地区基本的水资源及工农业用水情况进行了实际数据模拟,提出了南水北调的简单分配方案。该模型不仅可以用于区域间调水的优化控制,而且还可应用到其他水资源分配与管理。

Application of Quadratic Planning on Water Transfer and Allocation

By using the quadratic function,we firstly establish a quantitative mathematical relation between the water consumption and the benefit for enterprises and then based on this relation and Lagrange's multiplier method,deduce the optimal regional water resource allocation model and the relation between the regional total water consumption and the total benefits as well.And finally a regional water transfer allocation model is set up,which can be applied to allocate the water amount over different regions and different enterprises.The model is validated by several ideal data and simulated results show the model is robust in controlling the water allocation.We then apply the model to the real data set of six northern provinces and confirm the good applicability and potential in both regional water transfer optimal control and the other water resources management.