Title
A large population size can be unhelpful in evolutionary algorithms
Abstract
The utilization of populations is one of the most important features of evolutionary algorithms (EAs). There have been many studies analyzing the impact of different population sizes on the performance of EAs. However, most of such studies are based on computational experiments, except for a few cases. The common wisdom so far appears to be that a large population would increase the population diversity and thus help an EA. Indeed, increasing the population size has been a commonly used strategy in tuning an EA when it did not perform as well as expected for a given problem. He and Yao (2002) [8] showed theoretically that for some problem instance classes, a population can help to reduce the runtime of an EA from exponential to polynomial time. This paper analyzes the role of population further in EAs and shows rigorously that large populations may not always be useful. Conditions, under which large populations can be harmful, are discussed in this paper. Although the theoretical analysis was carried out on one multimodal problem using a specific type of EAs, it has much wider implications. The analysis has revealed certain problem characteristics, which can be either the problem considered here or other problems, that lead to the disadvantages of large population sizes. The analytical approach developed in this paper can also be applied to analyzing EAs on other problems.
Year
DOI
Venue
2012
10.1016/j.tcs.2011.02.016
Theoretical Computer Science
Keywords
DocType
Volume
Runtime analysis,Evolutionary algorithms,Computational time complexity,Evolutionary computation,Combinatorial optimization
Journal
436,
ISSN
Citations 
PageRank 
Theoretical Computer Science
31
0.90
References 
Authors
14
4
Name
Order
Citations
PageRank
Chen Tianshi1120559.29
Tang Ke22798139.09
Chen Guoliang338126.16
Xin Yao414858945.63