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wldhg/anomaly-sim.m

Last active May 12, 2020 09:06
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Performance Anomaly: Customized Simulation Code
Raw
anomaly-sim.m
% Define conditions
cw_min = 31;
msdu_size = 1500; % in bytes
slot_time = 20; % in microseconds
sifs_time = 10; % in microseconds
n = 10;
mbps_f = [11 11 11 ];
mbps_s = [1 2 5.5 ];
mbps_icon = ['o', 'x', '+' ];
% Calculate (with long preamble)
slot = slot_time * 1e-6;
sifs = sifs_time * 1e-6;
difs = (sifs_time + 2 * slot_time) * 1e-6;
p_c = 1 - (1 - 1 / cw_min)^(n - 1);
t_cont = slot * ((1 + p_c) / (2 * n)) * (cw_min / 2);
s_d = (msdu_size + 34) * 8;
t_pr = 192 * 1e-6;
host11 = 0:1:n; % fast hosts
host01 = n:-1:0; % slow hosts
x_udp = zeros(length(mbps_f), length(host11));
for j = 1:length(mbps_f)
bps_11 = mbps_f(j) * 1e+6; % fast bps
bps_01 = mbps_s(j) * 1e+6; % slow bps
t_ack_11 = 112 / bps_11;
t_ack_01 = 112 / bps_01;
for i = 1:length(host11)
t_ov_11 = difs + t_pr + sifs + t_pr + t_ack_11;
t_ov_01 = difs + t_pr + sifs + t_pr + t_ack_01;
t_tr_11 = t_ov_11 + s_d / bps_11 + t_cont;
t_tr_01 = t_ov_01 + s_d / bps_01 + t_cont;
p_slow = ((host11(i) * host01(i) + (host01(i) * (host01(i) - 1)) / 2)) / ((n * (n - 1)) / 2);
t_jam_udp = p_slow * t_tr_01 + (1 - p_slow) * t_tr_11;
u_11 = t_tr_11 / (host11(i) * t_tr_11 + host01(i) * t_tr_01 + p_c * t_jam_udp * n);
x_11 = u_11 * (s_d / (bps_11 * t_tr_11)) * bps_11;
x_udp(j, i) = x_11 / 1e+6; % Mbps
end
end
% Draw graph
figure;
hold on;
names = string(mbps_s) + " Mbps slow host";
for j = 1:length(mbps_f)
plot(host01, x_udp(j, :), 'Marker', mbps_icon(j));
end
ylabel('Throughput (Mbps)');
xlabel('The number of slow hosts');
legend(names);
Display the source blob
Display the rendered blob
Raw
result.svg
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<g id="g70">
<g transform="matrix(6,0,0,6,265.99998,2114.5)" id="g72">
<text id="text76" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan74" y="0" x="0">0</tspan>
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<g id="g78">
<g transform="matrix(6,0,0,6,526.39999,2114.5)" id="g80">
<text id="text84" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan82" y="0" x="0">1</tspan>
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<g id="g86">
<g transform="matrix(6,0,0,6,786.8,2114.5)" id="g88">
<text id="text92" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan90" y="0" x="0">2</tspan>
</text>
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</g>
<g id="g94">
<g transform="matrix(6,0,0,6,1047.2,2114.5)" id="g96">
<text id="text100" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan98" y="0" x="0">3</tspan>
</text>
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</g>
<g id="g102">
<g transform="matrix(6,0,0,6,1307.6,2114.5)" id="g104">
<text id="text108" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan106" y="0" x="0">4</tspan>
</text>
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</g>
<g id="g110">
<g transform="matrix(6,0,0,6,1568,2114.5)" id="g112">
<text id="text116" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan114" y="0" x="0">5</tspan>
</text>
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</g>
<g id="g118">
<g transform="matrix(6,0,0,6,1828.3999,2114.5)" id="g120">
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<tspan id="tspan122" y="0" x="0">6</tspan>
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<g id="g126">
<g transform="matrix(6,0,0,6,2088.7999,2114.5)" id="g128">
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<tspan id="tspan130" y="0" x="0">7</tspan>
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<g id="g134">
<g transform="matrix(6,0,0,6,2349.2001,2114.5)" id="g136">
<text id="text140" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan138" y="0" x="0">8</tspan>
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<g id="g142">
<g transform="matrix(6,0,0,6,2609.6,2114.5)" id="g144">
<text id="text148" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-4,14)">
<tspan id="tspan146" y="0" x="0">9</tspan>
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<g id="g150">
<g transform="matrix(6,0,0,6,2870,2114.5)" id="g152">
<text id="text156" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-7.5,14)">
<tspan id="tspan154" y="0" x="0 7.4131479">10</tspan>
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<g id="g158">
<g transform="matrix(6,0,0,6,1568.0013,2224.4999)" id="g160">
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<tspan id="tspan162" y="0" x="0 8.785533 17.688402 25.813919 29.099327 38.060863 46.963734 60.545376 69.609581 77.7351 83.425896 86.711304 95.599503 100.36628 103.65169 110.51585 114.69594 123.58414 135.34708 138.63248 147.53535 156.42355 163.2877 168.81717">The number of slow hosts</tspan>
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<path id="path200" style="fill:none;stroke:#262626;stroke-width:0.66666698;stroke-linecap:square;stroke-linejoin:round;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1" d="m 73,31.000006 h 4.340004" />
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<tspan id="tspan206" y="0" x="0">0</tspan>
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<g id="g210">
<g transform="matrix(6,0,0,6,233.99997,1788.5)" id="g212">
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<tspan id="tspan214" y="0" x="0 7.4131479 11.119722">0.1</tspan>
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<text id="text224" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-19,5.5)">
<tspan id="tspan222" y="0" x="0 7.4131479 11.119722">0.2</tspan>
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<text id="text232" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-19,5.5)">
<tspan id="tspan230" y="0" x="0 7.4131479 11.119722">0.3</tspan>
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<g id="g234">
<g transform="matrix(6,0,0,6,233.99997,906.49997)" id="g236">
<text id="text240" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-19,5.5)">
<tspan id="tspan238" y="0" x="0 7.4131479 11.119722">0.4</tspan>
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<g id="g242">
<g transform="matrix(6,0,0,6,233.99997,612.49997)" id="g244">
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<tspan id="tspan246" y="0" x="0 7.4131479 11.119722">0.5</tspan>
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<g id="g250">
<g transform="matrix(6,0,0,6,233.99997,318.49988)" id="g252">
<text id="text256" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-19,5.5)">
<tspan id="tspan254" y="0" x="0 7.4131479 11.119722">0.6</tspan>
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<g id="g258">
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<text id="text264" style="font-variant:normal;font-weight:normal;font-size:13.33300018px;font-family:Helvetica;-inkscape-font-specification:Helvetica;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-19,5.5)">
<tspan id="tspan262" y="0" x="0 7.4131479 11.119722">0.7</tspan>
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<g id="g266">
<g transform="matrix(-2.6e-7,-6,6,-2.6e-7,95.999992,1053.4991)" id="g268">
<text id="text272" style="font-variant:normal;font-weight:normal;font-size:14.66699982px;font-family:NotoSansCJKkr;-inkscape-font-specification:NotoSansCJKkr-Regular;writing-mode:lr-tb;fill:#262626;fill-opacity:1;fill-rule:nonzero;stroke:none" transform="translate(-66,-4)">
<tspan id="tspan270" y="0" x="0 8.785533 17.688402 23.379198 32.267399 41.170269 49.427792 58.330658 67.424202 76.327065 81.856529 85.141937 90.09938 102.00899 111.07319 120.16673 127.03088">Throughput (Mbps)</tspan>
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