On the Convergence of Biogeography-Based Optimization for Binary Problems
Joint Authors
Simon, Dan
Fei, Minrui
Ma, Haiping
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Biogeography-based optimization (BBO) is an evolutionary algorithm inspired by biogeography, which is the study of the migration of species between habitats.
A finite Markov chain model of BBO for binary problems was derived in earlier work, and some significant theoretical results were obtained.
This paper analyzes the convergence properties of BBO on binary problems based on the previously derived BBO Markov chain model.
Analysis reveals that BBO with only migration and mutation never converges to the global optimum.
However, BBO with elitism, which maintains the best candidate in the population from one generation to the next, converges to the global optimum.
In spite of previously published differences between genetic algorithms (GAs) and BBO, this paper shows that the convergence properties of BBO are similar to those of the canonical GA.
In addition, the convergence rate estimate of BBO with elitism is obtained in this paper and is confirmed by simulations for some simple representative problems.
American Psychological Association (APA)
Ma, Haiping& Simon, Dan& Fei, Minrui. 2014. On the Convergence of Biogeography-Based Optimization for Binary Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449514
Modern Language Association (MLA)
Ma, Haiping…[et al.]. On the Convergence of Biogeography-Based Optimization for Binary Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-449514
American Medical Association (AMA)
Ma, Haiping& Simon, Dan& Fei, Minrui. On the Convergence of Biogeography-Based Optimization for Binary Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449514