Alert: An Adaptive Low-Latency Event-Driven MAC Protocol for Wireless Sensor Networks

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="195685.fig.004a" src="https://static.hindawi.com/articles/jcnc/volume-2011/195685/figures/195685.fig.004a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Case 1: maximum success probability for known <svg height="11.45125" id="M177" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 14.545 11.45125" width="14.545" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.45125)">
<text transform="matrix(1,0,0,-1,0.498,0.498)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
</text>
</g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="195685.fig.004b" src="https://static.hindawi.com/articles/jcnc/volume-2011/195685/figures/195685.fig.004b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Case 2: minimum average delay</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="195685.fig.004c" src="https://static.hindawi.com/articles/jcnc/volume-2011/195685/figures/195685.fig.004c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Case 3: maximize min of success probability for a given range for <svg height="8.2624998" id="M178" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 9.0124998 8.2624998" width="9.0124998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,8.2625)">
<text transform="matrix(1,0,0,-1,0.498,0.598)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑛</tspan>
</text>
</g>
</svg></td></tr></table></td></tr></table>

<table>Probability of success of one Alert slot for different cases: case 1 (a) maximizing the success probability for a given <svg height="11.45125" id="M175" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 14.545 11.45125" width="14.545" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.45125)">
<text transform="matrix(1,0,0,-1,0.498,0.498)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
</text>
</g>
</svg>, case 2 (b) Minimizing the average number of time slots, case 3 (c) Maximizing minimum of success probability over <svg height="13.42" id="M176" style="vertical-align:-1.29163pt" version="1.1" viewbox="0 0 68.904999 13.42" width="68.904999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.42)">
<text transform="matrix(1,0,0,-1,0.498,1.786)">
<tspan style="font-size: 12.50px; " x="0" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="9.7149239" y="0">≤</tspan>
<tspan style="font-size: 12.50px; " x="21.755428" y="0">𝑛</tspan>
<tspan style="font-size: 12.50px; " x="31.445347" y="0">≤</tspan>
<tspan style="font-size: 12.50px; " x="43.485851" y="0">𝑁</tspan>
</text>
</g>
</svg>.</table>

Journal of Computer Networks and Communications

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Figure 4

Figure 4: Alert: An Adaptive Low-Latency Event-Driven MAC Protocol for Wireless Sensor Networks 