Calibration of groundwater vulnerability mapping using the generalized reduced gradient method

2017 ◽  
Vol 207 ◽  
pp. 39-49 ◽  
Author(s):  
Alper Elçi
Keyword(s):  
Gradient Method ◽  
Groundwater Vulnerability ◽  
Vulnerability Mapping ◽  
Reduced Gradient Method ◽  
Groundwater Vulnerability Mapping ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

Multi-objective traction optimization of vehicles in loose dry sand using the generalized reduced gradient method

2016 ◽  
Vol 64 ◽  
pp. 46-57 ◽  
Author(s):  
Joe D. Robinson ◽  
Farshid Vahedifard ◽  
Masoud Rais-Rohani ◽  
George L. Mason ◽  
Jody D. Priddy
Keyword(s):  
Gradient Method ◽  
Multi Objective ◽  
Reduced Gradient Method ◽  
Reduced Gradient ◽  
Dry Sand ◽  
Generalized Reduced Gradient

Optimum Balancing of Three-Dimensional “RSSR” Mechanisms

1999 ◽  
Author(s):  
Tarcisio Antonio Hess Coelho ◽  
Valter Francisco Arruda Alves
Keyword(s):  
Dynamic Behavior ◽  
Gradient Method ◽  
Numerical Optimization ◽  
Three Dimensional ◽  
Physical Models ◽  
Line Position ◽  
Reduced Gradient Method ◽  
Optimum Configuration ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

Abstract The Generalized Reduced Gradient method of numerical optimization is applied in obtaining the reduction of moments and forces transmitted to the frame of a three-dimensional RSSR mechanism. Such a modification of dynamic behavior of the mechanism, or balancing, is achieved by the addition of counterweights attached to the moving links in an off-line position. The evaluation of the obtained optimum configuration is performed by comparing the measured vibration levels of the frame of physical models of the balanced and unbalanced mechanism.

Using the Generalized Reduced Gradient Method to Handle Equality Constraints Directly in a Multilevel Optimization

1989 ◽  
Author(s):  
J. E. Renaud ◽  
G. A. Gabriele
Keyword(s):  
Engineering Design ◽  
Gradient Method ◽  
Equality Constraints ◽  
Multilevel Optimization ◽  
Design Studies ◽  
Reduced Gradient Method ◽  
Decomposition Scheme ◽  
Implementation Studies ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

Abstract In recent years there have been several multilevel optimization algorithms proposed and implemented in design studies. Equality constraints are often imposed between levels in the optimization to maintain system and subsystem variable continuity. In most implementation studies these equality constraints are handled indirectly. This paper describes the utility of the Generalized Reduced Gradient (GRG) method for handling these equality constraints directly in a multilevel optimization. Two engineering design examples illustrate the methods effectiveness when incorporated in a multilevel linear decomposition scheme based on the Sobieski algorithm.

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