河流水质灰色非线性规划的理论与应用

A grey nonlinear programming applied to river water quality management

本文探讨了含灰参数的河流水质非线性规划理论与求解方法。通过引入灰数的概念,建立了描述河流水质模拟及规划中广义不确定性的灰凸集、灰凸规划的初步理论。然后,针对河流水质灰色非线性规划模型求解问题,提出了基于拓广了的Kuhn——Tucker定理直接解法。其特点是将原灰色非线性规划模型分解成等价的两个确定性边界模型直接求解,这不仅为处理灰色水质规划提供了有效手段,而且建立了确定性规划与非确定性规划的联系。通过对淮河蚌埠段有机污染控制实例研究,说明了水质灰色规划问题研究的意义和求解方法的实用性。

This paper discusses the nonlinear programming with the uncertainty of water quality parameters. A theory of a grey nonlinerar programming (GNP) is developed based on the concepts of grey number and grey convex set. A direct method of finding GNP solutions is proposed. The GNP approach is applied to water pollution control of the Bang Pu section, Huai River in China. It is found that the GNP method can provide more information about river water quality management and pollution control under the condition of a varity of uncertainties.