Corner contact penalty functions in plane and in space

2007 ◽  
Vol 2 (2) ◽  
pp. 39-50
Author(s):  
Vanda Pomezanski
Keyword(s):  
Penalty Functions

Using penalty functions to evaluate aggregation models for environmental indices

2010 ◽  
Vol 91 (3) ◽  
pp. 706-716 ◽  
Author(s):  
Rehan Sadiq ◽  
Sikandar A. Haji ◽  
Geneviève Cool ◽  
Manuel J. Rodriguez
Keyword(s):  
Penalty Functions ◽  
Environmental Indices

On the choice of parameters in the method of penalty functions

1987 ◽  
Vol 27 (5) ◽  
pp. 112-119
Author(s):  
V.A. Bereznev ◽  
V.G. Karmanov ◽  
A.A. Tret'yakov
Keyword(s):  
Penalty Functions

scholarly journals Penalty Functions for Genetic Programming Algorithms

2011 ◽  
pp. 550-562 ◽  
Author(s):  
José L. Montaña ◽  
César L. Alonso ◽  
Cruz Enrique Borges ◽  
Javier de la Dehesa
Keyword(s):  
Genetic Programming ◽  
Penalty Functions ◽  
Programming Algorithms

scholarly journals Smoothing Approximation to the Square-Root Exact Penalty Function

2016 ◽  
Vol 4 (1) ◽  
pp. 87-96
Author(s):  
Yaqiong Duan ◽  
Shujun Lian
Keyword(s):  
Penalty Function ◽  
Original Problem ◽  
Optimal Solution ◽  
Penalty Functions ◽  
Exact Penalty Functions ◽  
Exact Penalty ◽  
Square Root ◽  
Inequality Constrained Optimization ◽  
Numerical Examples ◽  
Mild Conditions

AbstractIn this paper, smoothing approximation to the square-root exact penalty functions is devised for inequality constrained optimization. It is shown that an approximately optimal solution of the smoothed penalty problem is an approximately optimal solution of the original problem. An algorithm based on the new smoothed penalty functions is proposed and shown to be convergent under mild conditions. Three numerical examples show that the algorithm is efficient.

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