Population distributions in biogeography-based optimization algorithms with elitism
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Oppositional biogeography-based optimization
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms
Information Sciences: an International Journal
Distributed learning with biogeography-based optimization
IEA/AIE'11 Proceedings of the 24th international conference on Industrial engineering and other applications of applied intelligent systems conference on Modern approaches in applied intelligence - Volume Part II
Fuzzy robot controller tuning with biogeography-based optimization
IEA/AIE'11 Proceedings of the 24th international conference on Industrial engineering and other applications of applied intelligent systems conference on Modern approaches in applied intelligence - Volume Part II
A dynamic system model of biogeography-based optimization
Applied Soft Computing
Biogeography migration algorithm for traveling salesman problem
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part I
Novel binary biogeography-based optimization algorithm for the knapsack problem
ICSI'12 Proceedings of the Third international conference on Advances in Swarm Intelligence - Volume Part I
Variations of biogeography-based optimization and Markov analysis
Information Sciences: an International Journal
International Journal of Applied Evolutionary Computation
An analysis of the migration rates for biogeography-based optimization
Information Sciences: an International Journal
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Biogeography-based optimization (BBO) is a population-based evolutionary algorithm that is based on the mathematics of biogeography. Biogeography is the science and study of the geographical distribution of biological organisms. In BBO, problem solutions are analogous to islands, and the sharing of features between solutions is analogous to the migration of species. This paper derives Markov models for BBO with selection, migration, and mutation operators. Our models give the theoretically exact limiting probabilities for each possible population distribution for a given problem. We provide simulation results to confirm the Markov models.