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New bandwidth curve

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Derek Christ
2022-08-14 14:29:09 +02:00
parent 0036aebb62
commit faf2842687
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95
dat/dramsys.csv Normal file
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T,B
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95 1 6.66E-06

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T,B
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inc/7.simulation_results.tex
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@@ -300,6 +300,54 @@ These tables also provide information about the simulation time of the different
\label{fig:latency_ddr4}
\end{figure}
In order to compare not only the total average bandwidth, but also its behavior over time, all benchmarks were run consecutively on gem5 SE amd DRAMSys and plotted as a bandwidth-time diagram in Figure \ref{fig:data_bus_util}.
\begin{figure}[!ht]
\begin{center}
\begin{tikzpicture}
\begin{axis}[
width=\linewidth,
xlabel={Relative Simulation Time},
ylabel={Data Bus Utilization},
xmin=0, xmax=1,
ymin=0,
ytick={0,0.1,0.2,0.3},
legend style={
at={(current bounding box.south-|current axis.south)},
anchor=north,
legend columns=-1,
draw=none,
/tikz/every even column/.append style={column sep=0.5cm}
},
ymajorgrids=true,
grid style=dashed,
]
\addplot[mark=none, color=blue] table [x=T,y=B,col sep=comma] {dat/gem5.csv};
\addplot[mark=none, color=red] table [x=T,y=B,col sep=comma] {dat/dramsys.csv};
\legend{gem5 SE, DRAMSys}
\end{axis}
\end{tikzpicture}
\end{center}
\caption{Data bus utilization over the simulation time with DDR4-2400.}
\label{fig:data_bus_util}
\end{figure}
Similar to the previous comparisons, the bandwidth on average of DRAMSys is marginally lower than gem5.
Furthermore, an increased fluctuation around a bandwidth value can be observed.
However, the overall time behavior is the same:
The highest bandwidth value is reached at the beginning of the simulation and the bandwidth drops to a low plateau at the end of the simulation.
The \revabbr{mean absolute percentage error}{MAPE} is used to evaluate the deviations of the two bandwidth curves.
With the total number of data points $n$, the individual actual values $A_t$ and the individual forecasted values $F_t$, the measure is defined as follows:
\begin{equation}
MAPE=\frac{1}{n}\sum_{t=1}^{n}\bigg|\frac{A_t-F_t}{A_t}\bigg|
\end{equation}
For the bandwidth simulations, the resulting MAPE value is 22.3\%.
\subsection{Comparison to Ramulator}
In order to evaluate the new simulation frontend with a simulator that uses a similar approach, the benchmarks are compared with Ramulator in this section.