**Abstract**

The procedure is to obtain the best solution for the certain parameters in the given network to satisfy every requirement for design by considering the smallest affordable cost will be considered as an optimization. Optimization traditional approach will have some constraints like, outcome of single-based, local optima convergence, problems in unknown search space. To overcome the above constraints, many research organizations have established various metaheuristics to search optimization solutions for unsolved issues. The main intend to explain the Particle Swarm Optimization algorithm (PSOA) is to explain the stochastic optimization approach basics. Motivation of this Particle Swarm Optimization algorithm (PSOA) is to develop a strong metaheuristic optimization solution which is inspired natural swarm behavior like schooling of birds and fishes. PSOA is a simplified social network simulation. The final intent of this PSOA is a graphical representation and graphical simulate smoothly but undefined bird or fish flock's directions. Every bird's vicinity of observability is restricted to some area. Though having many birds permits every bird in the swarm fitness function to be bigger surface concerned. Mathematically every Particle Swarm Optimization algorithm (PSOA) has associated with fitness value, velocity, and position. Memory of maintaining global fitness, best position, and global fitness value.

**Keywords:** swarm optimization, position and velocity
