Abstract:
This paper introduces the notion of using co-evolution to adapt the penalty factors of a fitness function incorporated in a genetic algorithm for numerical optimization. The proposed approach produces solutions even better than those previously reported in the literature for other (GA-based and mathematical programming) techniques that have been particularly fine-tuned using a normally lengthy trial and error process to solve a certain problem or set of problems. The present technique is also easy to implement and suitable for parallelization, which is a necessary further step to improve its current performance. Key words: genetic algorithms, constraint handling, co-evolution, penalty functions, self-adaptation, evolutionary optimization, numerical optimization. 1
Citations
|
4828
|
Genetic Algorithms
– Goldberg
- 1989
|
|
2172
|
Optimization by simulated annealing
– Kirkpatrick, Gelatt, et al.
- 1983
|
|
1316
|
Genetic Algorithms + Data Structures = Evolution Programs. AI Series
– Michalewicz
- 1992
|
|
815
|
An Introduction to Genetic Algorithms
– Mitchell
- 1996
|
|
441
|
Uniform crossover in genetic algorithms
– Syswerda
- 1989
|
|
381
|
Numerical Optimization of Computer Models
– Schwefel
- 1981
|
|
233
|
An Investigation of Niche and Species Formation in Genetic Function Optimization
– Deb, Goldberg
- 1989
|
|
156
|
Evolutionary Algorithms for Constrained Parameter Optimization Problems
– Michalewicz, Schoenauer
- 1996
|
|
128
|
Some Guidelines for Genetic Algorithms with Penalty Functions
– Richardson, Palmer, et al.
- 1989
|
|
86
|
Genetic Algorithms and Engineering Design
– Gen, Cheng
- 1997
|
|
79
|
On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs
– Joines, Houck
- 1994
|
|
70
|
1993�. Using Genetic Algorithms in Engineering Design Optimization with Non�linear Constraints
– Powell�, Skolnick
|
|
57
|
Co�evolutionary Constraint Satisfaction. In Pro� ceedings of the 3rd Conference on Parallel Problem Solving from Na� ture� New York� Springer�Verlag� 46�55
– Paredis�
- 1993
|
|
54
|
Applied Nonlinear Programming
– Himmelblau
- 1972
|
|
48
|
1994�. Constrained Optimization via Genetic Algorithms
– Lai, Qi
|
|
45
|
1994�. In Evolutionary Optimization of Constrained Problems
– Michalewicz�, Attia
|
|
45
|
Introduction to Optimum Design
– Arora
- 1989
|
|
42
|
Genetic Algorithms, Numerical Optimization and Constraints
– Michalewicz
- 1995
|
|
41
|
On the effectiveness of crossover in simulated evolutionary optimization
– Fogel, Stayton
- 1994
|
|
33
|
A dual genetic algorithm for bounded integer programs
– Bean, Hadj-Alouane
- 1992
|
|
33
|
An empirical study of evolutionary techniques for multiobjective optimization in engineering design
– Coello
- 1996
|
|
23
|
A Segregated Genetic Algorithm for Constrained Structural Optimization
– Riche, Knopf-Lenoir, et al.
- 1995
|
|
18
|
1989�. Constrained Genetic Optimization via Dynamic Reward�Penalty Balancing and Its Use in Pattern Recognition
– Siedlecki�, Sklanski
|
|
18
|
Nonlinear integer and discrete programming in mechanical design optimization
– Sandgren
- 1990
|
|
14
|
Using a new GA-based multiobjective optimization technique for the design of robot arms
– Coello, Christiansen, et al.
- 1998
|
|
14
|
An Augmented Lagrange Multiplier Based Method for Mixed Integer Discrete Continuous Optimization and Its Applications to Mechanical Design
– Kannan, Kramer
- 1994
|
|
14
|
Engineering Optimization
– Rao
- 1996
|
|
14
|
GeneAS: A Robust Optimal Design Technique for Mechanical Component Design
– Deb
- 1997
|
|
10
|
Optimal Design of a Welded Beam via Genetic Algorithms
– Deb
- 1991
|
|
9
|
Optimal design of reinforced concrete beams using genetic algorithms
– Coello, Hern'andez, et al.
- 1997
|
|
9
|
Optimal Design of a Class of Welded Structures Using Geometric Programming
– Ragsdell, Phillips
- 1976
|
|
7
|
A Simple Genetic Algorithm for the design of reinforced concrete beams. Engineering with Computers
– Coello, Christiansen
- 1997
|
|
6
|
Analytical Design-Making in Engineering Design
– Siddall
- 1972
|