An interval space reducing method for constrained problems with particle swarm optimization

Thiago Melo Machado-Coelho

doi:10.1016/j.asoc.2017.05.022

An interval space reducing method for constrained problems with particle swarm optimization

2017-10-01

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Thiago Melo Machado-Coelho

A

Alexei Manso Corrêa Machado

DOI：10.1016/j.asoc.2017.05.022

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In this paper, we propose a method for solving constrained optimization problems using interval analysis combined with particle swarm optimization. A set inverter via interval analysis algorithm is used to handle constraints in order to reduce constrained optimization to quasi unconstrained one. The algorithm is useful in the detection of empty search spaces, preventing useless executions of the optimization process. To improve computational efficiency, a space cleaning algorithm is used to remove solutions that are certainly not optimal. As a result, the search space becomes smaller at each step of the optimization procedure. After completing pre-processing, a modified particle swarm optimization algorithm is applied to the reduced search space to find the global optimum. The efficiency of the proposed approach is demonstrated through comprehensive experimentation involving 100 000 runs on a set of well-known benchmark constrained engineering design problems. The computational efficiency of the new method is quantified by comparing its results with other PSO variants found in the literature. (C) 2017 Elsevier B.V. All rights reserved.

Keyword:

Interval analysis

Evolutionary computation

Particle swarm optimization

Constrained optimizationa

An interval space reducing method for constrained problems with particle swarm optimization

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