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Penalty Function Methods for Constrained Optimization with Genetic Algorithms

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TLDR
These penalty-based methods for handling constraints in Genetic Algorithms are presented and discussed and their strengths and weaknesses are discussed.
Abstract
Genetic Algorithms are most directly suited to unconstrained optimization. Application of Genetic Algorithms to constrained optimization problems is often a challenging effort. Several methods have been proposed for handling constraints. The most common method in Genetic Algorithms to handle constraints is to use penalty functions. In this paper, we present these penalty-based methods and discuss their strengths and weaknesses.

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Book

Nature-Inspired Optimization Algorithms

Xin-She Yang
TL;DR: This book can serve as an introductory book for graduates, doctoral students and lecturers in computer science, engineering and natural sciences, and researchers and engineers as well as experienced experts will also find it a handy reference.
Journal ArticleDOI

Artificial bee colony algorithm for large-scale problems and engineering design optimization

TL;DR: The ABC algorithm is applied to engineering design problems by extending the basic ABC algorithm simply by adding a constraint handling technique into the selection step of the ABC algorithm in order to prefer the feasible regions of entire search space.
Journal ArticleDOI

Blended biogeography-based optimization for constrained optimization

TL;DR: The numerical results demonstrate that constrained blended BBO outperforms SGA and performs similarly to SPSO 07 for constrained single-objective optimization problems.
Book ChapterDOI

Unified particle swarm optimization for solving constrained engineering optimization problems

TL;DR: A penalty function approach is employed and the algorithm is modified to preserve feasibility of the encountered solutions to investigate the performance of the recently proposed Unified Particle Swarm Optimization method on constrained engineering optimization problems.
Journal ArticleDOI

Extended ant colony optimization for non-convex mixed integer nonlinear programming

TL;DR: Two novel extensions for the well known ant colony optimization (ACO) framework are introduced here, which allow the solution of mixed integer nonlinear programs (MINLPs) and a hybrid implementation based on this extended ACO framework, specially developed for complex non-convex MINLPs is presented.
References
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Journal ArticleDOI

A Genetic Algorithm for the Multiple-Choice Integer Program

TL;DR: Extensive computational tests for dual degenerate problem instances show that suboptimal solutions can be obtained with the genetic algorithm within running times that are shorter than those of the OSL optimization routine.
Proceedings Article

Constrained GA Optimization

TL;DR: This method succeeded on some truss structure optimization problems, where the other genetic techniques for handling the constraints failed to give good results, as some constraints are not even computable until others are satissed.
Journal ArticleDOI

Evolutionary programming techniques for constrained optimization problems

TL;DR: Simulations indicate that the TPEP achieves an exact global solution without gradient information, with less computation time than the other optimization methods studied here, for general constrained optimization problems.
Proceedings Article

Genetic Optimization Using A Penalty Function

Book ChapterDOI

Evolutionary Optimization of Constrained Problems

TL;DR: This chapter deals with a new approach which will utilize a log-dynamic penalty function method in the NES algorithm that has been proposed and tested in the previous chapter.