| 河流水质大系统灰色非线性规划的分解协调方法 |
| 摘要点击 1295 全文点击 1541 修订日期：1993-05-16 |
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| 中文关键词 河流水质 灰色 非线性规划 分解协调 |
| 英文关键词 grey system theory water pollutioncontrol system two level method. |
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| 中文摘要 |
| 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;建立了河流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拓广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的灰色非线性规划问题。 |
| 英文摘要 |
| This paper focuses on the water quality planning problem of grey non-linear river water pollution control system using ideas of the grey system theory. Grey non-linear model and a two level method have been developed, which not only can describe the imperfection of water quality planning imformation but also can provide a new approaeh of dealing with the higher order, higher dimension and non-linear water quality planning model. The major studies involved are of three aspects:(1) Grey convex set, grey convex function and grey convex programme are definited; (2) Kuhn-Tucker condition for grey non-linear planning model has been given and (3) the optimisation of grey non-linear river water pollution control planning model using a two level method. |
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