Chapter IV
Towards a More Effcient
Multi-Objective Particle
Swarm Optimizer
Luis V. Santana-Quintero
CINVESTAV-IPN, Evolutionary Computation Group (EVOCINV), Mexico
Noel Ramírez-Santiago
CINVESTAV-IPN, Evolutionary Computation Group (EVOCINV), Mexico
Carlos A. Coello Coello
*
CINVESTAV-IPN, Evolutionary Computation Group (EVOCINV), Mexico
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AbstrAct
This chapter presents a hybrid between a particle swarm optimization (PSO) approach and scatter
search. The main motivation for developing this approach is to combine the high convergence rate of
the PSO algorithm with a local search approach based on scatter search, in order to have the main
advantages of these two types of techniques. We propose a new leader selection scheme for PSO, which
aims to accelerate convergence by increasing the selection pressure. However, this higher selection
pressure reduces diversity. To alleviate that, scatter search is adopted after applying PSO, in order to
spread the solutions previously obtained, so that a better distribution along the Pareto front is achieved.
The proposed approach can produce reasonably good approximations of multi-objective problems of
high dimensionality, performing only 4,000 ftness function evaluations. Test problems taken from the
specialized literature are adopted to validate the proposed hybrid approach. Results are compared with
respect to the NSGA-II, which is an approach representative of the state-of-the-art in the area.