Finding Global Minima with a Computable Quasi-filled Function for Constrained Global Optimization

2010 ◽  
Author(s):  
Weixiang Wang ◽  
Youlin Shang
Keyword(s):  
Global Optimization ◽  
Constrained Global Optimization ◽  
Filled Function ◽  
Global Minima

scholarly journals A Filled Function Approach for Nonsmooth Constrained Global Optimization

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Weixiang Wang ◽  
Youlin Shang ◽  
Ying Zhang
Keyword(s):  
Global Optimization ◽  
Constrained Optimization ◽  
Unconstrained Optimization ◽  
Penalty Function ◽  
Optimization Problem ◽  
Solution Algorithm ◽  
Constrained Global Optimization ◽  
Filled Function ◽  
Global Minima ◽  
Constrained Optimization Problem

A novel filled function is given in this paper to find a global minima for a nonsmooth constrained optimization problem. First, a modified concept of the filled function for nonsmooth constrained global optimization is introduced, and a filled function, which makes use of the idea of the filled function for unconstrained optimization and penalty function for constrained optimization, is proposed. Then, a solution algorithm based on the proposed filled function is developed. At last, some preliminary numerical results are reported. The results show that the proposed approach is promising.

scholarly journals Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Weixiang Wang ◽  
Youlin Shang ◽  
Ying Zhang
Keyword(s):  
Global Optimization ◽  
Optimization Problem ◽  
Numerical Test ◽  
Function Approach ◽  
Global Optimization Problem ◽  
Computational Results ◽  
Filled Function ◽  
Global Minima ◽  
Smooth Case ◽  
Definition Of

A filled function approach is proposed for solving a non-smooth unconstrained global optimization problem. First, the definition of filled function in Zhang (2009) for smooth global optimization is extended to non-smooth case and a new one is put forwarded. Then, a novel filled function is proposed for non-smooth the global optimization and a corresponding non-smooth algorithm based on the filled function is designed. At last, a numerical test is made. The computational results demonstrate that the proposed approach is effcient and reliable.

A filled function method for constrained global optimization

2007 ◽  
Vol 39 (4) ◽  
pp. 495-507 ◽  
Author(s):  
Z. Y. Wu ◽  
F. S. Bai ◽  
H. W. J. Lee ◽  
Y. J. Yang
Keyword(s):  
Global Optimization ◽  
Function Method ◽  
Constrained Global Optimization ◽  
Filled Function ◽  
Filled Function Method
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