Algorithm 2. Particle swarm algorithm.

1: Start 2: Randomly initialize particle swarm 3: While (number of iterations or the stopping iteration on is not met) 4: Evaluate fitness of the particle swarm 5: for n = 1 to number of particles 6: Find individual optimal solution $p_t^i$ 7: Find group optimal solution $p_t^g$ 8: for d = 1 to number of dimensions of particle 9: update the velocity of particles via $v_{t+1}^i=w_t{v}_t^i+c_1{r}_1(p_t^i-x_t^i)+c_2{r}_2(p_t^g-x_t^i)$ 10: update the position of particles via $x_{t+1}^i=x_t^i+v_{t+1}^i$ 11: end for 12: end for 13: update the inertia weight via $w_t=(w_{\max }-w_{\min })\ast \frac{(t_{\max }-t)}{t_{\max }}+w_{\min }$ 14: end While 15: Output the best solution found