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In this paper, we present a new third order particle swarm optimization. The original PSO has position and velocity vectors. However, the proposed algorithm has three vectors: i.e. a position vector, a velocity vector and an acceleration vector. From the proposed PSO, we obtain the third order difference equation and from the equation we obtain the convergence region for four parameters. By setting...
The particle swarm optimization is one of well known algorithms in the world with its performance and easy implementation. This algorithm is used for finding optimal values or regions of multi-dimensional spaces throughout the interaction of each particle positions and its values. Originally, the PSO has two factors such as position and velocity vectors which are sources for next positions of particles,...
In this paper, we present a new particle swarm optimization. We call it a fourth order particle swarm optimization. The original PSO has position and velocity vectors. However, the proposed algorithm has four terms: i.e. a position vector, a velocity vector, an acceleration vector and a jerk vector. From the proposed PSO, we obtain the fourth order difference equation and from the equation we obtain...
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