||Optimization of Industrial Systems with the Separable Programming and the Generalized Reduced Gradient Methods.
William, Jerel L. ;
||Kansas State Univ., Manhattan. Dept. of Industrial Engineering.
||DI-14-31-0001-3216; OWRR-A-038-KAN; 02213,; A-038-KAN(4)
Water quality ;
Nonlinear programming ;
Mathematical models ;
Computer programs ;
Partial differential equations ;
Separable programming ;
Geometric programming ;
Duality theory ;
GREG computer program
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Two nonlinear programming methods and their application to industrial systems are reviewed. Separable programming is described and exemplified. The same procedure is presented that is used in the separable programming subroutine of the Mathematical Programming System/360 (MPS/360). A supplemental FORTRAN program for assisting the usage of MPS/360 when solving separable programming problems is presented. An interesting application of separable programming to solve the geometric programming dual problem with N-degrees of difficulty is also exhibited. The second technique considered is the generalized reduced gradient method. The mathematical theory is presented and numerical examples are used to exemplify it. Its application via the GREG program is evaluated, and numerous computer examples are worked. The study is concluded with the application of the technique to optimize a water quality control model.