From 0928259450f000e2b9462375dfc0a4b9f59cd5b1 Mon Sep 17 00:00:00 2001 From: afanfakh Date: Wed, 28 May 2014 12:37:17 +0200 Subject: [PATCH 1/1] change of performance to execution time in a paper and plots --- fig/bt.eps | 58 ++++++------ fig/bt.pdf | Bin 7587 -> 0 bytes fig/cg.eps | 58 ++++++------ fig/cg.pdf | Bin 7967 -> 0 bytes fig/ep.eps | 246 +++++++++++++++++--------------------------------- fig/ep.pdf | Bin 7772 -> 0 bytes fig/file.eps | 10 +- fig/file.pdf | Bin 7276 -> 0 bytes fig/file3.eps | 12 ++- fig/file3.pdf | Bin 6512 -> 0 bytes fig/ft.pdf | Bin 7460 -> 0 bytes paper.tex | 55 +++++------ 12 files changed, 186 insertions(+), 253 deletions(-) mode change 100644 => 100755 fig/bt.eps delete mode 100644 fig/bt.pdf mode change 100644 => 100755 fig/cg.eps delete mode 100644 fig/cg.pdf mode change 100644 => 100755 fig/ep.eps delete mode 100644 fig/ep.pdf mode change 100644 => 100755 fig/file.eps delete mode 100644 fig/file.pdf mode change 100644 => 100755 fig/file3.eps delete mode 100644 fig/file3.pdf delete mode 100644 fig/ft.pdf diff --git a/fig/bt.eps b/fig/bt.eps old mode 100644 new mode 100755 index 2f44b28..0487747 --- a/fig/bt.eps +++ b/fig/bt.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-2.0 %%Title: bt.eps %%Creator: gnuplot 4.6 patchlevel 0 -%%CreationDate: Thu May 15 12:08:40 2014 +%%CreationDate: Tue May 27 14:43:24 2014 %%DocumentFonts: (atend) %%BoundingBox: 50 50 320 239 %%EndComments @@ -432,7 +432,7 @@ SDict begin [ /Author (afanfakh) % /Producer (gnuplot) % /Keywords () - /CreationDate (Thu May 15 12:08:40 2014) + /CreationDate (Tue May 27 14:43:24 2014) /DOCINFO pdfmark end } ifelse @@ -454,7 +454,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 602 448 M ( 0.3) Rshow /Helvetica findfont 140 scalefont setfont @@ -464,7 +464,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 602 799 M ( 0.4) Rshow /Helvetica findfont 140 scalefont setfont @@ -474,7 +474,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 0.5) Rshow /Helvetica findfont 140 scalefont setfont @@ -484,7 +484,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 0.6) Rshow /Helvetica findfont 140 scalefont setfont @@ -494,7 +494,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 0.7) Rshow /Helvetica findfont 140 scalefont setfont @@ -504,7 +504,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 0.8) Rshow /Helvetica findfont 140 scalefont setfont @@ -514,7 +514,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 0.9) Rshow /Helvetica findfont 140 scalefont setfont @@ -524,7 +524,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 1) Rshow /Helvetica findfont 140 scalefont setfont @@ -534,7 +534,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 1.1) Rshow /Helvetica findfont 140 scalefont setfont @@ -544,7 +544,7 @@ LTb 63 0 V 4398 0 R -63 0 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont -4482 0 R ( 1.2) Rshow /Helvetica findfont 140 scalefont setfont @@ -554,7 +554,7 @@ LTb 0 63 V 0 3100 R 0 -63 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 686 308 M ( 1) Cshow /Helvetica findfont 140 scalefont setfont @@ -564,7 +564,7 @@ LTb 0 63 V 0 3100 R 0 -63 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 0 -3240 R ( 1.5) Cshow /Helvetica findfont 140 scalefont setfont @@ -574,7 +574,7 @@ LTb 0 63 V 0 3100 R 0 -63 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 0 -3240 R ( 2) Cshow /Helvetica findfont 140 scalefont setfont @@ -584,7 +584,7 @@ LTb 0 63 V 0 3100 R 0 -63 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 0 -3240 R ( 2.5) Cshow /Helvetica findfont 140 scalefont setfont @@ -594,7 +594,7 @@ LTb 0 63 V 0 3100 R 0 -63 V -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 0 -3240 R ( 3) Cshow /Helvetica findfont 140 scalefont setfont @@ -609,26 +609,28 @@ LTb -4461 0 V Z stroke LCb setrgbcolor -/Helvetica findfont 140 scalefont setfont +/Helvetica findfont 200 scalefont setfont 112 2029 M currentpoint gsave translate -270 rotate 0 0 M -(Normalized energy and performance inv.) 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zrla#~UBfIe9_0`D@V~Q&0tk~$1$+i9IGrEb-|=7}7xIPCOcYbmV4$y$(+7Nk zDH;Zghw*072VhUr3 \Dist)$} + \State $\Pnorm \gets \Told / \Tnew$ + \If{$(\Pnorm - \Enorm > \Dist)$} \State $\Sopt \gets S$ - \State $\Dist \gets \PnormInv - \Enorm$ + \State $\Dist \gets \Pnorm - \Enorm$ \EndIf \EndFor \State Return $\Sopt$ @@ -524,9 +525,9 @@ Each node in the cluster has 18 frequency values from \np[GHz]{2.5} to \np[MHz]{800} with \np[MHz]{100} difference between each two successive frequencies. The nodes are connected via an ethernet network with 1Gbit/s bandwidth. -\subsection{Performance prediction verification} +\subsection{Execution time prediction verification} -In this section we evaluate the precision of our performance prediction method +In this section we evaluate the precision of our execution time prediction method based on EQ~\eqref{eq:tnew} by applying it to the NAS benchmarks. The NAS programs are executed with the class B option to compare the real execution time with the predicted execution time. Each program runs offline with all available @@ -566,14 +567,14 @@ and Rünger in~\cite{3}. The results showed that the algorithm selected different scaling factors for each program depending on the communication features of the program as in the plots from Figure~\ref{fig:nas}. These plots illustrate that there are different distances between the normalized energy and -the normalized inverted performance curves, because there are different +the normalized inverted execution time curves, because there are different communication features for each benchmark. When there are little or no -communications, the inverted performance curve is very close to the energy +communications, the inverted execution time curve is very close to the energy curve. Then the distance between the two curves is very small. This leads to small energy savings. The opposite happens when there are a lot of communication, the distance between the two curves is big. This leads to more energy savings (e.g. CG and FT), see Table~\ref{table:compareC}. All discovered -frequency scaling factors optimize both the energy and the performance +frequency scaling factors optimize both the energy and the execution time simultaneously for all NAS benchmarks. In Table~\ref{table:compareC}, we record all optimal scaling factors results for each benchmark running class C. These scaling factors give the maximum energy saving percentage and the minimum @@ -604,7 +605,7 @@ savings). In this section, we compare our scaling factor selection method with Rauber and Rünger methods~\cite{3}. They had two scenarios, the first is to reduce energy -to the optimal level without considering the performance as in +to the optimal level without considering the execution time as in EQ~\eqref{eq:sopt}. We refer to this scenario as $R_{E}$. The second scenario is similar to the first except setting the slower task to the maximum frequency (when the scale $S=1$) to keep the performance from degradation as mush as @@ -684,10 +685,10 @@ In this paper, we have presented a new online scaling factor selection method that optimizes simultaneously the energy and performance of a distributed application running on a homogeneous cluster. It uses the computation and communication times measured at the first iteration to predict energy -consumption and the performance of the parallel application at every available +consumption and the execution time of the parallel application at every available frequency. Then, it selects the scaling factor that gives the best trade-off between energy reduction and performance which is the maximum distance between -the energy and the inverted performance curves. To evaluate this method, we +the energy and the inverted eexecution time curves. To evaluate this method, we have applied it to the NAS benchmarks and it was compared to Rauber and Rünger methods while being executed on the simulator SimGrid. The results showed that our method, outperforms Rauber and Rünger's methods in terms of energy-performance -- 2.39.5