Mathematical Problems in Engineering / 2015 / Article / Psdc 1

Review Article

A Comprehensive Survey on Particle Swarm Optimization Algorithm and Its Applications

Pseudocode 1

A standard PSO.
Step  1. Initialization
 For each particle , do
   (a) Initialize the particle’s position with a uniformly distribution as (0)~U(LB, UB), where LB and UB represent the lower
   and upper bounds of the search space
   (b) Initialize to its initial position: .
   (c) Initialize to the minimal value of the swarm: .
   (d) Initialize velocity: .
Step  2. Repeat until a termination criteria is met
 For each particle , do
   (a) Pick random numbers: .
   (b) Update particle’s velocity. See formula (2).
   (c) Update particle’s position. See formula (3).
   (d) If , do
    (i) Update the best known position of particle : .
    (ii) If , update the swarm’s best known position: .
   (e) ;
Step  3. Output that holds the best found solution.

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