  Particle swarm optimization comes under lot of changes after James Kennedy
and Russell Eberhart first proposes the idea in 1995. The changes has been done
mainly on Inertia parameters in velocity updating equation so that the
convergence rate will be higher. We are proposing a novel approach where
particles movement will not be depend on its velocity rather it will be decided
by constrained biased random walk of particles. In random walk every particles
movement based on two significant parameters, one is random process like toss
of a coin and other is how much displacement a particle should have. In our
approach we exploit this idea by performing a biased random operation and based
on the outcome of that random operation, PSO particles choose the direction of
the path and move non-uniformly into the solution space. This constrained,
non-uniform movement helps the random walking particle to converge quicker then
classical PSO. In our constrained biased random walking approach, we no longer
needed velocity term (Vi), rather we introduce a new parameter (K) which is a
probabilistic function. No global best particle (PGbest), local best particle
(PLbest), Constriction parameter (W) are required rather we use a new term
called Ptarg which is loosely influenced by PGbest.We test our algorithm on
five different benchmark functions, and also compare its performance with
classical PSO and Quantum Particle Swarm Optimization (QPSO).This new approach
have been shown significantly better than basic PSO and sometime outperform
QPSO in terms of convergence, search space, number of iterations.
