河流水质大系统灰色非线性规划的分解协调方法

对多排污口和复杂河系排污的水质规划问题进行了研究，探讨了河流水质系统的广义不确定性，建立了河水质灰色非线性规划模型。针对河流复杂排污体系的灰色非线性规划面临的高阶、高维和非线性问题，提出运用大系统理论分解协调方法解决上述问题。在此基础上，定义了灰凸集，灰凸函数，灰凸规划，证明了灰色非线性规划模型的厂广Ｋｕｈｎ－Ｔｕｃｋｅｒ条件。实例研究表明，本模型与方法合理、可信、适合于一般含灰参数非线性规划问题

The Optimisation of Grey non-linear River water Pollution Control System Using A Two Level Method

This paper focuses on the water quality planningproblem of grey non-linear river water pollutioncontrol system using ideas of the grey systemtheory. Grey non-linear model and a two levelmethod have been developed, which not only candescribe the imperfection of water quality planningimformation but also can provide a new approaeh ofdealing with the higher order, higher dimension andnon-linear water quality planning model. The majorstudies involved are of three aspects: (1) Greyconvex set, grey convex function and grey convexprogramme are definited; (2) Kuhn- Tuckercondition for grey non-linear planning model hasbeen given and (3) the optimisation of grey nonlinear river water pollution control planning modelnsing a two level method.