Title
Constrained multimodal function optimization using a simple evolutionary algorithm
Abstract
Practical function optimization problems often con tain several constraints. Although evolutionary algorithms (EAs) have been successfully applied to unconstrained real-parameter optimization problems, it is sometimes difficult for these methods even to And feasible solutions in constrained ones. In this study, we thus propose a technique that makes EAs possible to solve function optimization problems with several inequality and a single equality constraints. The proposed technique simply forces individuals newly generated to satisfy the equality constraint. In order to generate these individuals, this study utilizes a Markov chain Monte Carlo (MCMC) method and crossover kernels. While the proposed technique can be applied to any EA, this study applies it to a relatively simple one, UNDX/MGG. Experimental results show that UNDX/MGG with the proposed technique has an ability to solve unimodal and multimodal function optimization problems with constraints. Finally, we show that, although our approach cannot solve function optimization problems with multiple equality constraints, we can convert some of them into those with a single equality constraint.
Year
DOI
Venue
2011
10.1109/CEC.2011.5949652
IEEE Congress on Evolutionary Computation
Keywords
Field
DocType
Markov processes,Monte Carlo methods,evolutionary computation,optimisation,MCMC method,Markov chain Monte Carlo method,constrained multimodal function optimization problem,crossover kernels,evolutionary algorithm,inequality constraint,multiple equality constraints,unconstrained real-parameter optimization problem
Mathematical optimization,Crossover,Algorithm design,Markov process,Markov chain Monte Carlo,Evolutionary algorithm,Constraint (mathematics),Computer science,Evolutionary computation,Artificial intelligence,Optimization problem,Machine learning
Conference
ISSN
ISBN
Citations 
Pending
978-1-4244-7834-7
3
PageRank 
References 
Authors
0.46
15
2
Name
Order
Citations
PageRank
Shuhei Kimura170.90
Koki Matsumura230.46