Title
Populations can be essential in tracking dynamic optima.
Abstract
Real-world optimisation problems are often dynamic. Previously good solutions must be updated or replaced due to changes in objectives and constraints. It is often claimed that evolutionary algorithms are particularly suitable for dynamic optimisation because a large population can contain different solutions that may be useful in the future. However, rigorous theoretical demonstrations for how populations in dynamic optimisation can be essential are sparse and restricted to special cases. This paper provides theoretical explanations of how populations can be essential in evolutionary dynamic optimisation in a general and natural setting. We describe a natural class of dynamic optimisation problems where a sufficiently large population is necessary to keep track of moving optima reliably. We establish a relationship between the population-size and the probability that the algorithm loses track of the optimum.
Year
DOI
Venue
2017
10.1007/s00453-016-0187-y
Algorithmica
Keywords
DocType
Volume
Runtime analysis,Population-based algorithm,Dynamic optimisation
Journal
abs/1607.03317
Issue
ISSN
Citations 
2
0178-4617
7
PageRank 
References 
Authors
0.48
16
3
Name
Order
Citations
PageRank
Duc-Cuong Dang119013.08
Thomas Jansen2128595.80
Per Kristian Lehre362742.60