TY  - JOUR
T1  - Particles Initialization of the Polar Particle Swarm Optimizer (Polar PSO)
Algorithm in Polar Coordinates
AU - Shatnawi, Moaath AU - Nasrudin, Mohammad Faidzul AU - Sahran, Shahnorbanun 
JO  - International Journal of Soft Computing
VL  - 12
IS  - 4
SP  - 228
EP  - 235
PY  - 2017
DA  - 2001/08/19
SN  - 1816-9503
DO  - ijscomp.2017.228.235
UR  - https://makhillpublications.co/view-article.php?doi=ijscomp.2017.228.235
KW  - Polar coordinates
KW  -Polar Particle Swarm Optimization
KW  -random polar initialization
KW  -uniformly distributed
KW  -polar space
AB  - Polar Particle Swarm Optimizer (Polar PSO) is a modified version of Particle Swarm Optimization (PSO)
algorithm that used a mapping function that takes position of particles in polar space and converts them to
Cartesian space and vice versa. The conversion is necessary since the particles are initialized and evaluated
in Cartesian space while their movements are in polar space. The conversion however distorts the position of
particles even though they were initially uniformly distributed. So, this conversion is believed to be the reason
behind the Polar PSO performs poorly compared to the original Cartesian PSO, especially in high dimensions.
This study proposes an initialization method in polar space for Polar PSO. It uses a distribution function to
avoid the points being distributed near the polar origin. This method will reduce the number of conversion and
in the same time diverse the position of particles to cover a sufficiently large portion of the search space. The
proposed method is tested in Ackley, DeJong, Rastrigin, Rosenbrock, Griewangk, Quartic, Salomon and Dixon
benchmark functions. The results show that the polar initialization improves slightly the performance of the
Polar PSO. Although, the polar initialization is useful in reducing the distortion during conversion the Polar PSO
can be further improved by enhancing its movement in polar space.
ER  -