X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/mpi-energy2.git/blobdiff_plain/ee26b603924e0c91a3e8bfda8acb626fe1502394..08b2589e5657136a0f3a605dbd076b559df777ae:/Heter_paper.tex diff --git a/Heter_paper.tex b/Heter_paper.tex index c48c927..a31c0fb 100644 --- a/Heter_paper.tex +++ b/Heter_paper.tex @@ -41,26 +41,17 @@ \newcommand{\MaxDist}{\mathit{Max}\Dist} \newcommand{\MinTcm}{\mathit{Min}\Tcm} \newcommand{\Ntrans}{\Xsub{N}{trans}} +\newcommand{\Pd}{\Xsub{P}{d}} \newcommand{\PdNew}{\Xsub{P}{dNew}} \newcommand{\PdOld}{\Xsub{P}{dOld}} -%\newcommand{\Pdyn}{\Xsub{P}{dyn}} -\newcommand{\Pd}{\Xsub{P}{d}} -%\newcommand{\PnormInv}{\Xsub{P}{NormInv}} \newcommand{\Pnorm}{\Xsub{P}{Norm}} -%\newcommand{\Pstates}{\Xsub{P}{states}} -%\newcommand{\Pstatic}{\Xsub{P}{static}} \newcommand{\Ps}{\Xsub{P}{s}} \newcommand{\Scp}{\Xsub{S}{cp}} \newcommand{\Sopt}{\Xsub{S}{opt}} \newcommand{\Tcm}{\Xsub{T}{cm}} -%\newcommand{\Tcomp}{\Xsub{T}{comp}} -\newcommand{\TcpOld}{\Xsub{T}{cpOld}} \newcommand{\Tcp}{\Xsub{T}{cp}} -%\newcommand{\TmaxCommOld}{\Xsub{T}{Max Comm Old}} -%\newcommand{\TmaxCompOld}{\Xsub{T}{Max Comp Old}} -%\newcommand{\Tmax}{\Xsub{T}{max}} +\newcommand{\TcpOld}{\Xsub{T}{cpOld}} \newcommand{\Tnew}{\Xsub{T}{New}} -%\newcommand{\Tnorm}{\Xsub{T}{Norm}} \newcommand{\Told}{\Xsub{T}{Old}} \begin{document} @@ -647,7 +638,7 @@ maximum distance between the energy curve and the performance curve is while \If{(not the first frequency)} \State $F_i \gets F_i+\Fdiff_i,~i=1,\dots,N.$ \EndIf - \State $\Told \gets max_{~i=1,\dots,N } (\Tcp_i+\Tcm_i)$ + \State $\Told \gets \max_{i=1,\dots,N} (\Tcp_i+\Tcm_i)$ % \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot \Tcp_i)} +\sum_{i=1}^{N} {(\Ps_i \cdot \Told)}$ \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot \Tcp_i + \Ps_i \cdot \Told)}$ \State $\Sopt_{i} \gets 1,~i=1,\dots,N. $ @@ -657,7 +648,7 @@ maximum distance between the energy curve and the performance curve is while \State $F_i \gets F_i - \Fdiff_i,~i=1,\dots,N.$ \State $S_i \gets \frac{\Fmax_i}{F_i},~i=1,\dots,N.$ \EndIf - \State $\Tnew \gets max_\textit{~i=1,\dots,N} (\Tcp_{i} \cdot S_{i}) + \MinTcm $ + \State $\Tnew \gets \max_{i=1,\dots,N} (\Tcp_{i} \cdot S_{i}) + \MinTcm $ % \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot \Tcp_i)} + \sum_{i=1}^{N} {(\Ps_i \cdot \rlap{\Tnew)}} $ \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot \Tcp_i + \Ps_i \cdot \rlap{\Tnew)}} $ \State $\Pnorm \gets \frac{\Told}{\Tnew}$ @@ -1139,6 +1130,24 @@ degradation. \label{table:res_s2} \end{table} +\begin{table}[!t] + \caption{Comparing the proposed algorithm} + \centering +\begin{tabular}{|*{7}{r|}} +\hline +Program & \multicolumn{2}{c|}{Energy saving \%} & \multicolumn{2}{c|}{Perf. degradation \%} & \multicolumn{2}{c|}{Distance} \\ \cline{2-7} +name & EDP & MaxDist & EDP & MaxDist & EDP & MaxDist \\ \hline +CG & 27.58 & 31.25 & 5.82 & 7.12 & 21.76 & 24.13 \\ \hline +MG & 29.49 & 33.78 & 3.74 & 6.41 & 25.75 & 27.37 \\ \hline +LU & 19.55 & 28.33 & 0.0 & 0.01 & 19.55 & 28.22 \\ \hline +EP & 28.40 & 27.04 & 4.29 & 0.49 & 24.11 & 26.55 \\ \hline +BT & 27.68 & 32.32 & 6.45 & 7.87 & 21.23 & 24.43 \\ \hline +SP & 20.52 & 24.73 & 5.21 & 2.78 & 15.31 & 21.95 \\ \hline +FT & 27.03 & 31.02 & 2.75 & 2.54 & 24.28 & 28.48 \\ \hline + +\end{tabular} +\label{table:compare_EDP} +\end{table} \begin{figure}[!t] \centering @@ -1151,7 +1160,12 @@ degradation. \caption{The comparison of the three power scenarios} \end{figure} - +\begin{figure}[!t] + \centering + \includegraphics[scale=0.5]{fig/compare_EDP.pdf} + \caption{Trade-off comparison for NAS benchmarks class C} + \label{fig:compare_EDP} +\end{figure} \subsection{The comparison of the proposed scaling algorithm } @@ -1188,39 +1202,6 @@ because it maximizes the distance between the energy saving and the performance degradation values while giving the same weight for both metrics. - - -\begin{table}[!t] - \caption{Comparing the proposed algorithm} - \centering -\begin{tabular}{|*{7}{r|}} -\hline -Program & \multicolumn{2}{c|}{Energy saving \%} & \multicolumn{2}{c|}{Perf. degradation \%} & \multicolumn{2}{c|}{Distance} \\ \cline{2-7} -name & EDP & MaxDist & EDP & MaxDist & EDP & MaxDist \\ \hline -CG & 27.58 & 31.25 & 5.82 & 7.12 & 21.76 & 24.13 \\ \hline -MG & 29.49 & 33.78 & 3.74 & 6.41 & 25.75 & 27.37 \\ \hline -LU & 19.55 & 28.33 & 0.0 & 0.01 & 19.55 & 28.22 \\ \hline -EP & 28.40 & 27.04 & 4.29 & 0.49 & 24.11 & 26.55 \\ \hline -BT & 27.68 & 32.32 & 6.45 & 7.87 & 21.23 & 24.43 \\ \hline -SP & 20.52 & 24.73 & 5.21 & 2.78 & 15.31 & 21.95 \\ \hline -FT & 27.03 & 31.02 & 2.75 & 2.54 & 24.28 & 28.48 \\ \hline - -\end{tabular} -\label{table:compare_EDP} -\end{table} - - - - - -\begin{figure}[!t] - \centering - \includegraphics[scale=0.5]{fig/compare_EDP.pdf} - \caption{Trade-off comparison for NAS benchmarks class C} - \label{fig:compare_EDP} -\end{figure} - - \section{Conclusion} \label{sec.concl} In this paper, a new online frequency selecting algorithm has been presented. It