scholarly journals Non-linear Global Optimization Using Interval Arithmetic and Constraint Propagation

2007 ◽  
pp. 45-58
Author(s):  
Steffen Kjøller ◽  
Pavel Kozine ◽  
Kaj Madsen ◽  
Ole Stauning
Keyword(s):  
Global Optimization ◽  
Interval Arithmetic ◽  
Constraint Propagation ◽  
Non Linear

An interval arithmetic method for global optimization

Computing ◽  
1979 ◽  
Vol 23 (1) ◽  
pp. 85-97 ◽  
Author(s):  
K. Ichida ◽  
Y. Fujii
Keyword(s):  
Global Optimization ◽  
Interval Arithmetic ◽  
Arithmetic Method

A New Global Optimization Algorithm and its Application

2008 ◽  
Vol 33-37 ◽  
pp. 1407-1412
Author(s):  
Ying Hui Lu ◽  
Shui Lin Wang ◽  
Hao Jiang ◽  
Xiu Run Ge
Keyword(s):  
Global Optimization ◽  
Objective Function ◽  
Optimization Algorithm ◽  
Inverse Analysis ◽  
Optimization Problem ◽  
Practical Application ◽  
Global Optimization Algorithm ◽  
Material Parameters ◽  
Non Linear ◽  
Variable Space

In geotechnical engineering, based on the theory of inverse analysis of displacement, the problem for identification of material parameters can be transformed into an optimization problem. Commonly, because of the non-linear relationship between the identified parameters and the displacement, the objective function bears the multimodal characteristic in the variable space. So to solve better the multimodal characteristic in the non-linear inverse analysis, a new global optimization algorithm, which integrates the dynamic descent algorithm and the modified BFGS (Brogden-Fletcher-Goldfrab-Shanno) algorithm, is proposed. Five typical multimodal functions in the variable space are tested to prove that the new proposed algorithm can quickly converge to the best point with few function evaluations. In the practical application, the new algorithm is employed to identify the Young’s modulus of four different materials. The results of the identification further show that the new proposed algorithm is a very highly efficient and robust one.

Sign in / Sign up

Export Citation Format

Share Document