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NONLINEAR PROGRAMMING IN RIVER BASIN MODELING1

机译:流域MODELING1中的非线性规划

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ABSTRACT:This paper explores the use of nonlinear programming in river basin water quality modelling. Applications recently reported in the literature, along with the author's experience with nonlinear programming, are reviewed. Results obtained using nonlinear programming are compared with the results obtained by other researchers using linear and dynamic programming to solve river basin water quality optimization problems. These water quality models have objective functions with continuous first partial derivatives, several inequality and variable bound constraints, and are of the form:   minizie Σj=nj=1Yj(Xj)   subject to Σj=nj=1aijXjbi,i=1,2, …,m     cjXjdj,j= 1,2, …,nThe variableXiis the maximum allowable ratio of the BOD (biochemical oxygen demand) of the effluent outflow to the BOD of the wastewater inflow for treatment plant j, in the rangecjtodj. Theaijdandbiare constants in the DO (dissolved oxygen) and BOD constraints. The resuks show, given certain assumptions about the data, that nonlinear programming is a better solution method for these problems than is either linear program
机译:摘要:本文探讨了非线性规划在流域水质建模中的应用。本文回顾了文献中最近报道的应用,以及作者在非线性规划方面的经验。将非线性规划获得的结果与其他研究人员使用线性和动态规划解决流域水质优化问题的结果进行了比较。这些水质模型具有连续一阶偏导数、若干不等式和变量约束的目标函数,其形式为:最小值 Σj=nj=1Yj(Xj) 受 Σj=nj=1aijXjbi,i=1,2, ...,m cjXjdj,j= 1,2, ...,n变量Xi为处理厂污水流出量BOD(生化需氧量)与废水流入BOD的最大允许比值j, 在范围内CJTODJ。DO(溶解氧)和 BOD 约束中的 Theaijdandbiare 常数。研究结果表明,给定对数据的某些假设,非线性规划是解决这些问题的更好方法,而不是线性规划

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