A Multi-objective Biogeography-Based Optimization with Mean Value Migration Operator

Considering its successful application in solving discrete single objective problems, biogeography-based optimization (BBO) is considered as a new promising intelligent algorithm. Therefore, many studies are conducted to apply it to solve multi-objective optimization problems (MOPs). However, these improved BBOs are not always effective because of the complexity of MOPs. A multi-objective biogeography-based algorithm with mean value migration operator named MVBBO is proposed in this paper. In MVBBO, mean value theory and new boundary constraint rule are adopted to extend the range of feasible domain. Meanwhile, mutation operator and e-dominance-based archive strategy are employed to achieve better convergence and diversity. Simulation on benchmark functions shows that the proposed MVBBO’s final Pareto solution set is better than NSGA-II and other improved multi-objective BBOs in convergence and distribution of Pareto solutions.

[1]  Xu Zhi Improvement for Migration Operator in Biogeography-Based Optimization Algorithm , 2012 .

[2]  Zhang Min,et al.  A Normal Distribution Crossover for ε-MOEA , 2009 .

[3]  Xiangwei Zheng,et al.  A scalable coevolutionary multi-objective particle swarm optimizer , 2010 .

[4]  Dan Simon,et al.  Biogeography-Based Optimization , 2022 .

[5]  K. S. Swarup,et al.  Multi-objective biogeography based optimization for optimal PMU placement , 2012, Appl. Soft Comput..

[6]  Wenyin Gong,et al.  DE/BBO: a hybrid differential evolution with biogeography-based optimization for global numerical optimization , 2010, Soft Comput..

[7]  Hong Liu,et al.  A hybrid vertical mutation and self-adaptation based MOPSO , 2009, Comput. Math. Appl..

[8]  Dan Simon,et al.  Biogeography-based optimization combined with evolutionary strategy and immigration refusal , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[9]  Wenjian Luo,et al.  A Normal Distribution Crossover for ε-MOEA: A Normal Distribution Crossover for ε-MOEA , 2009 .

[10]  L. Lebensztajn,et al.  Multiobjective Biogeography-Based Optimization Based on Predator-Prey Approach , 2012, IEEE Transactions on Magnetics.

[11]  Haiping Ma,et al.  An analysis of the equilibrium of migration models for biogeography-based optimization , 2010, Inf. Sci..

[12]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[13]  P. K. Chattopadhyay,et al.  Biogeography-Based Optimization for Different Economic Load Dispatch Problems , 2010, IEEE Transactions on Power Systems.