A new kind of simple smooth exact penalty function of constrained nonlinear programming

2001 ◽  
Vol 5 (4) ◽  
pp. 287-291
Author(s):  
Chu-ren Sun ◽  
Lian-sheng Zhang
Keyword(s):  
Nonlinear Programming ◽  
Penalty Function ◽  
Exact Penalty Function ◽  
Exact Penalty ◽  
Constrained Nonlinear Programming ◽  
Smooth Exact Penalty Function

scholarly journals A new auxiliary function approach for inequality constrained global optimization problems

2019 ◽  
Vol 9 (3) ◽  
pp. 31-38
Author(s):  
Nurullah Yilmaz ◽  
Ahmet Sahiner
Keyword(s):  
Global Optimization ◽  
Penalty Function ◽  
Optimization Problems ◽  
Auxiliary Function ◽  
Exact Penalty Function ◽  
Function Approach ◽  
Exact Penalty ◽  
Constrained Global Optimization ◽  
Constrained Optimization Problems ◽  
Smooth Exact Penalty Function

In this study, we deal with the nonlinear constrained global optimization problems. First, we introduce a new smooth exact penalty function for constrained optimization problems. We combine the exact penalty function with the auxiliary function in regard to constrained global optimization. We present a new auxiliary function approach and the adapted algorithm for solving  non-linear inequality constrained global optimization problems. Finally, we illustrate the efficiency of the algorithm on some numerical examples.

Exact penalty function for nonlinear programming problems

Cybernetics ◽  
1987 ◽  
Vol 22 (5) ◽  
pp. 585-590
Author(s):  
Yu. M. Danilin ◽  
V. N. Kovnir
Keyword(s):  
Nonlinear Programming ◽  
Penalty Function ◽  
Exact Penalty Function ◽  
Exact Penalty
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