Genetic Algorithms: Principles and Perspectives: A Guide to GA Theory
Genetic Algorithms: Principles and Perspectives: A Guide to GA Theory
A markov chain framework for the simple genetic algorithm
Evolutionary Computation
A probabilistic analysis of a simplified biogeography-based optimization algorithm
Evolutionary Computation
Biogeography-Based Optimization
IEEE Transactions on Evolutionary Computation
Markov Models for Biogeography-Based Optimization
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Oppositional biogeography-based optimization
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Biogeography-based optimization of neuro-fuzzy system parameters for diagnosis of cardiac disease
Proceedings of the 12th annual conference on Genetic and evolutionary computation
Two-stage update biogeography-based optimization using differential evolution algorithm (DBBO)
Computers and Operations Research
Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms
Information Sciences: an International Journal
Blended biogeography-based optimization for constrained optimization
Engineering Applications of Artificial Intelligence
A probabilistic analysis of a simplified biogeography-based optimization algorithm
Evolutionary Computation
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
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part I
A dynamic system model of biogeography-based optimization
Applied Soft Computing
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
Research of Biogeography-Based Multi-Objective Evolutionary Algorithm
Journal of Information Technology Research
An analysis of the migration rates for biogeography-based optimization
Information Sciences: an International Journal
Novel approaches for classification based on Cuckoo Search Strategy
International Journal of Hybrid Intelligent Systems
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Biogeography-based optimization (BBO) is an evolutionary algorithm that is based on the science of biogeography. Biogeography is the study of the geographical distribution of organisms. In BBO, problem solutions are represented as islands, and the sharing of features between solutions is represented as migration between islands. This paper develops a Markov analysis of BBO, including the option of elitism. Our analysis gives the probability of BBO convergence to each possible population distribution for a given problem. We compare our BBO Markov analysis with a similar genetic algorithm (GA) Markov analysis. Analytical comparisons on three simple problems show that with high mutation rates the performance of GAs and BBO is similar, but with low mutation rates BBO outperforms GAs. Our analysis also shows that elitism is not necessary for all problems, but for some problems it can significantly improve performance.