Optimization Methods for Nonlinear Problems

2020 ◽  
pp. 145-176
Author(s):  
S. P. Maurya ◽  
N. P. Singh ◽  
K. H. Singh
Keyword(s):  
Nonlinear Problems ◽  
Optimization Methods

A Survey and Comparison of Optimization Methods for Solving Multi-Stage Stochastic Programs with Recourse

2013 ◽  
Vol 4 (2) ◽  
pp. 22-35 ◽  
Author(s):  
Enzo Sauma
Keyword(s):  
Empirical Distribution ◽  
Direct Methods ◽  
Nonlinear Problems ◽  
Optimization Methods ◽  
Decomposition Methods ◽  
Distribution Method ◽  
Stochastic Programs ◽  
Multi Stage ◽  
Highly Nonlinear ◽  
Lagrangian Optimization

In the last decade, multi-stage stochastic programs with recourse have been broadly used to model real-world applications. This paper reviews the main optimization methods that are used to solve multi-stage stochastic programs with recourse. In particular, this paper reviews four types of optimization approaches to solve multi-stage stochastic programs with recourse: direct methods, decomposition methods, Lagrangian methods and empirical-distribution methods. All these methods require some form of approximation, since multi-stage stochastic programs involve the evaluation of random functions and their expectations. The authors also provides a classification of the considered optimization methods. While decomposition optimization methods are recommendable for large linear problems, Lagrangian optimization methods are appropriate for highly nonlinear problems. When the problem is both highly nonlinear and very large, an empirical-distribution method may be the best alternative.

Integration of Two Multiobjective Optimization Methods for Nonlinear Problems

2003 ◽  
Vol 18 (1) ◽  
pp. 63-80 ◽  
Author(s):  
Kaisa Miettinen ◽  
Alexander V. Lotov ◽  
George K. Kamenev ◽  
Vadim E. Berezkin
Keyword(s):  
Multiobjective Optimization ◽  
Nonlinear Problems ◽  
Optimization Methods

Optimization Methods in Finance

2018 ◽  
Author(s):  
Gérard Cornuéjols ◽  
Javier Peña ◽  
Reha Tütüncü
Keyword(s):  
Optimization Methods

Optimization Methods in Finance

2006 ◽  
Author(s):  
Gerard Cornuejols ◽  
Reha Tutuncu
Keyword(s):  
Optimization Methods

Applied Optimization Methods for Wireless Networks

2009 ◽  
Author(s):  
Y. Thomas Hou ◽  
Yi Shi ◽  
Hanif D. Sherali
Keyword(s):  
Wireless Networks ◽  
Optimization Methods ◽  
Applied Optimization

Economics of coated paper production made from deinked pulp

TAPPI Journal ◽  
2013 ◽  
Vol 12 (4) ◽  
pp. 19-27
Author(s):  
PATRICK HUBER ◽  
LAURENT LYANNAZ ◽  
BRUNO CARRÉ
Keyword(s):  
Mechanical Properties ◽  
Optimization Methods ◽  
Coating Process ◽  
Coated Paper ◽  
Paper Production ◽  
Base Paper

The fraction of deinked pulp for coated paper production is continually increasing, with some mills using 100% deinked pulp for the base paper. The brightness of the coated paper made from deinked pulp may be reached through a combination of more or less extensive deinking, compensated by appropriate coating, to optimize costs overall. The authors proposed general optimization methods combined with Kubelka-Munk multilayer calculations to find the most economical combination of deinking and coating process that would produce a coated paper made from DIP, at a given target brightness, while maintaining mechanical properties.

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