综合利用水资源工程的一种管理模型

Dynamic Nonlinear Programming Model for Management of Multipurpose Water Resources Systems

水资源系统(地面水库、湖泊、地下水库等),由于目标函数呈非线性关系,因此导致问题的复杂性,通常采用动态规划解决具有序列性的决策课题,但常规的动态规划法不可能解决这种复杂的水资源运行问题(因维数灾)。本文基于微分动态规划法,提出一种较以往方法为佳的动态-非线性规划模型,并用以解决山东省半干旱地区多种水资源利用问题。计算结果表明了本方法的合理性和可靠性。

Deterministic water resources systems(surface reservoirs,lakes,ground water reservoirs etc.)are complicated for the nonlinearities in the objective functions.The dynamic programming(DP)is often used to solve this kind of problems.However,with the convential DP procedure it is usually impossible to consider the simultaneous operations of complex systems due to the“curse of dimensionality”.In this paper,the DP-NLP(nonlinear programming)is proposed which performs better than other well-know techniques.This method has been applied to multipurpose water resources systems to solve various water supply problems for semi-dry areas in Shantong Province.The results of computation are reasonable and reliable.