Modeling Slotted Aloha as a Stochastic Game with Random Discrete Power Selection Algorithms

<table>The optimal retransmission probability for schemes 1–4 and slotted aloha as function of arrival rate <svg height="11.0375" id="M331" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 13.4 11.0375" width="13.4" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑞</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.22,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑎</tspan>
</text>
</g>
</g>
</svg> for both 4 mobiles and 10 mobiles when throughput is maximized.</table>

Journal of Computer Networks and Communications

fig11

Figure 11

Figure 11: Modeling Slotted Aloha as a Stochastic Game with Random Discrete Power Selection Algorithms 