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Zbl 1226.65055
Li, Xiangtao; Wang, Jinyan; Zhou, Junping; Yin, Minghao
A perturb biogeography based optimization with mutation for global numerical optimization. (English)
[J] Appl. Math. Comput. 218, No. 2, 598-609 (2011). ISSN 0096-3003

Summary: Biogeography based optimization (BBO) is a new evolutionary optimization algorithm based on the science of biogeography for global optimization. We propose three extensions to BBO. First, we propose a new migration operation based sinusoidal migration model called perturb migration, which is a generalization of the standard BBO migration operator. Then, the Gaussian mutation operator is integrated into perturb biogeography based optimization (PBBO) to enhance its exploration ability and to improve the diversity of population. Experiments are conducted on 23 benchmark problems of a wide range of dimensions and diverse complexities. Simulation results and comparisons demonstrate the proposed PBBO algorithm using sinusoidal migration model is better, or at least comparable to, the RCBBO based linear model, RCBBO-G, RCBBO-L and evolutionary algorithms from literature when considering the quality of the solutions obtained.

MSC 2000:: *65K05 Mathematical programming (numerical methods)
90C26 Nonconvex programming

Keywords: biogeography based optimization; perturb opertor; global numerical optimization; exploration; exploitation; numerical examples; evolutionary optimization algorithm; Gaussian mutation operator

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