Title
Continuous Dynamical System Models of Steady-State Genetic Algorithms
Abstract
This paper constructs discrete-time and continuous-time dynamical system expected value and innite population models for steady-state genetic and evolutionary search algorithms. Conditions are given under which the discrete-time expected value models converge to the continuous-time models as the population size goes to innit y. Existence and uniqueness theorems are proved for solutions of the continuous-time models. The xed points of these models and their asymptotic stability are compared.
Year
DOI
Venue
2000
10.1016/B978-155860734-7/50094-9
FOGA
Keywords
Field
DocType
search algorithm,discrete time,asymptotic stability,genetics,dynamic system,population model,population size,expected value
Uniqueness,Mathematical optimization,Search algorithm,Infinity,Expected value,Exponential stability,Fixed point,Population model,Dynamical system,Mathematics
Conference
ISSN
Citations 
PageRank 
Foundations of Genetic Algorithms 2006
5
0.58
References 
Authors
5
2
Name
Order
Citations
PageRank
Alden H. Wright133045.58
Jonathan E. Rowe245856.35