Abstract

Linear decreasing inertia weight (LDIW) strategy was introduced to improve on the performance of the original particle swarm optimization (PSO). However, linear decreasing inertia weight PSO (LDIW-PSO) algorithm is known to have the shortcoming of premature convergence in solving complex (multipeak) optimization problems due to lack of enough momentum for particles to do exploitation as the algorithm approaches its terminal point. Researchers have tried to address this shortcoming by modifying LDIW-PSO or proposing new PSO variants. Some of these variants have been claimed to outperform LDIW-PSO. The major goal of this paper is to experimentally establish the fact that LDIW-PSO is very much efficient if its parameters are properly set. First, an experiment was conducted to acquire a percentage value of the search space limits to compute the particle velocity limits in LDIW-PSO based on commonly used benchmark global optimization problems. Second, using the experimentally obtained values, five well-known benchmark optimization problems were used to show the outstanding performance of LDIW-PSO over some of its competitors which have in the past claimed superiority over it. Two other recent PSO variants with different inertia weight strategies were also compared with LDIW-PSO with the latter outperforming both in the simulation experiments conducted.

Highlights

  • The idea of Particle Swarm Optimization (PSO) stems from biology where a swarm of birds coordinates itself in order to achieve a goal

  • PSO was largely derived from sociopsychology concept and transferred to optimization [1], where each particle uses the local information regarding the displacement of its reachable closer neighbors to decide on its own displacement, resulting to complex and adaptive collective behaviors

  • linear decreasing inertia weight (LDIW)-PSO algorithm from the literature is known to have the shortcoming of premature convergence in solving complex problems due to lack of enough momentum for particles to do exploitation as the algorithm approaches its terminal point

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Summary

Introduction

The idea of Particle Swarm Optimization (PSO) stems from biology where a swarm of birds coordinates itself in order to achieve a goal. One of them will find something digestible and, being social, communicates this to its neighbors These can approach the source of food, leading to the convergence of the swarm to the source of food. Upon this, many other inertia weight PSO variants have been proposed [2, 5,6,7,8,9,10,11,12,13,14,15,16], with different levels of successes Some of these variants have claimed better performances over LDIW-PSO, thereby making it look weak or inferior.

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