The paper deals with a multi-objective optimization method inspired by island biogeography. Specifically, a non-linear model of migration is proposed: a sinusoidal law rules both immigration and emigration curves in order to match the natural behaviour which is observed in a natural habitat. The optimal shape design of an electrostatic micromotor, which is a benchmark in MEMS design, is considered as the case study.
MacarthurR.H. and WilsonE.O., The Theory of Island Biogeography, Princeton University Press, 1967.
2.
SimonD., Biogeography-Based Optimization, IEEE Trans. on Evol. Comput.12(6) (2008), 702-713.
3.
Di BarbaP. and MognaschiM.E., Sorting Pareto solutions: A principle of optimal design for electrical machines, The International Journal for Computation and Mathematics in Electrical and Electronic Engineering - Compel28(5) (2009), 1227-1235.
4.
BarbosaL.Z., Dos Santos CoelhoL. and LebensztajnL., Particle swarm optimization and strength pareto to solve multiobjective optimization problems, International Journal of Applied Electromagnetics and Mechanics IJAEM43(1-2) (2013), 137-149.
5.
HoS.L. and YangS., An artificial bee colony algorithm for inverse problems, International Journal of Applied Electromagnetics and Mechanics IJAEM31(9) (2009), 181-192.
6.
Costa SilvaM.A., Dos Santos CoelhoL. and LebensztajnL., Multiobjective Biogeography-Based Optimization based on Predator-Prey Approach, IEEE Trans. on Magnetics48(2) (2012), 951-954.
7.
Di BarbaP., MognaschiM.E., SaviniA. and WiakS., Biogeography-inspired multiobjective optimization and MEMS design, IEEE Trans. on Magnetics52(3) (2016).
8.
MaH., An analysis of the equilibrium of migration models for biogeography-based optimization, Information Sciences180 (2010), pp. 3444-3464.
9.
LiP., GaoS., CaiH. and CuiY., Design, fabrication and performances of MEMS piezoelectric energy harvester, International Journal of Applied Electromagnetics and Mechanics IJAEM47(1) (2015), 125-139.
10.
Di BarbaP. and WiakS., Evolutionary Computing and Optimal Design of MEMS, IEEE Trans. on Mechatronics20(4) (2015), 1660-1667.