Friedman test based on Tables 7 and 8.

<p>Friedman test based on Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t007" target="_blank">7</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t008" target="_blank">8</a>.</p

Wilcoxon-ranks and p-value on the average and minimum error according to Tables 7 and 8.

<p>Wilcoxon-ranks and p-value on the average and minimum error according to Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t007" target="_blank">7</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t008" target="_blank">8</a>.</p

Comparison of average, minimum and standard deviation of error for considered PSO variants with condition 1, <i>I</i>_max = 1000 and <i>D</i> = 10.

<p>Comparison of average, minimum and standard deviation of error for considered PSO variants with condition 1, <i>I</i>_max = 1000 and <i>D</i> = 10.</p

Wilcoxon-ranks and p-value on the average and minimum error according to Tables 9 and 10.

<p>Wilcoxon-ranks and p-value on the average and minimum error according to Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t009" target="_blank">9</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t010" target="_blank">10</a>.</p

Benchmark functions formula.

<p>Benchmark functions formula.</p

Convergence graph for some PSO variants.

<p>(A) Sphere Function with <i>ε</i> = 10⁻²⁰. (B) Griewank Function with <i>ε</i> = 10⁻¹. (C) Ackley Function with <i>ε</i> = 10⁻¹⁵. (D) Zakharov Function with <i>ε</i> = 10⁻²⁰⁰. (E) Schwefel's Problem 2.22 with <i>ε</i> = 10⁻²⁰. (F) Weierstrass Function with <i>ε</i> = 10⁻³⁰.</p

Wilcoxon-ranks and p-value on the average and minimum number of iterations of successful runs according to Table 5.

<p>Wilcoxon-ranks and p-value on the average and minimum number of iterations of successful runs according to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t005" target="_blank">Table 5</a>.</p

Wilcoxon-ranks and p-value on the average and minimum error according to Tables 13 and 14.

<p>Wilcoxon-ranks and p-value on the average and minimum error according to Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t013" target="_blank">13</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t014" target="_blank">14</a>.</p

Friedman test based on Tables 13 and 14.

<p>Friedman test based on Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t013" target="_blank">13</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t014" target="_blank">14</a>.</p

Best and worst IW strategies for each benchmark function in terms of average, minimum and standard deviation of error according to Tables 13 and 14.

<p>Best and worst IW strategies for each benchmark function in terms of average, minimum and standard deviation of error according to Tables <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t013" target="_blank">13</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0161558#pone.0161558.t014" target="_blank">14</a>.</p