A Probability Collectives Approach with a Feasibility-Based Rule for Constrained Optimization

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="980216.fig.008a" src="https://static.hindawi.com/articles/acisc/volume-2011/980216/figures/980216.fig.008a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Convergence of the radius</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="980216.fig.008b" src="https://static.hindawi.com/articles/acisc/volume-2011/980216/figures/980216.fig.008b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Convergence of the <svg height="10.325" id="M213" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑋</tspan>
</text>
</g>
</g>
</svg>-coordinates of the center</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="980216.fig.008c" src="https://static.hindawi.com/articles/acisc/volume-2011/980216/figures/980216.fig.008c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Convergence of the <svg height="10.325" id="M214" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑌</tspan>
</text>
</g>
</g>
</svg>-coordinates of the center</td></tr></table></td></tr></table>

<table>Convergence of the strategies of circle 2.</table>

Applied Computational Intelligence and Soft Computing

fig8

Figure 8

Figure 8: A Probability Collectives Approach with a Feasibility-Based Rule for Constrained Optimization 