From: Raphael Couturier Date: Wed, 24 Apr 2013 21:02:47 +0000 (+0200) Subject: Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/book_gpu X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/commitdiff_plain/c56162cd0df6cb604942d765ca5430092d4199dd?hp=078df8cd2b7dba79784d8e374afb7c5ee3dc4d58 Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/book_gpu Conflicts: BookGPU/Chapters/chapter12/ch12.aux BookGPU/Chapters/chapter16/ch16.aux BookGPU/Chapters/chapter17/ch17.aux BookGPU/Chapters/chapter18/ch18.aux BookGPU/Chapters/chapter6/ch6.aux --- diff --git a/BookGPU/BookGPU.tex b/BookGPU/BookGPU.tex index 5895e6e..eaa9c44 100755 --- a/BookGPU/BookGPU.tex +++ b/BookGPU/BookGPU.tex @@ -147,7 +147,7 @@ \makeindex -% \includeonly{Chapters/chapter10/ch10} +%\includeonly{Chapters/chapter5/ch5} \begin{document} @@ -166,7 +166,7 @@ \frontmatter %\include{frontmatter/Foreword} -%\include{frontmatter/preface} +\include{frontmatter/preface} \listoffigures \listoftables @@ -183,23 +183,23 @@ \part{Image processing} \include{Chapters/chapter3/ch3} \part{Software development} -\include{Chapters/chapter5/ch5} +\include{Chapters/chapter5/ch5}% lib HeatSolution0.049307.pdf HeatSolution0.pdf ... \include{Chapters/chapter6/ch6} \part{Optimization} \include{Chapters/chapter8/ch8} \include{Chapters/chapter9/ch9} -\include{Chapters/chapter10/ch10} +\include{Chapters/chapter10/ch10} %pb fonts tree2.pdf \part{Numerical applications} -\include{Chapters/chapter7/ch7} %pb fonts +\include{Chapters/chapter7/ch7} \include{Chapters/chapter11/ch11} \include{Chapters/chapter12/ch12} \include{Chapters/chapter13/ch13} -\include{Chapters/chapter14/ch14} +\include{Chapters/chapter14/ch14} %index \include{Chapters/chapter15/ch15} \include{Chapters/chapter16/ch16} \part{Other} -\include{Chapters/chapter17/ch17} +\include{Chapters/chapter17/ch17} %index \include{Chapters/chapter18/ch18} \include{Chapters/chapter19/ch19} diff --git a/BookGPU/Chapters/chapter1/figures/scalability.pdf b/BookGPU/Chapters/chapter1/figures/scalability.pdf index e484f59..43ee856 100644 Binary files a/BookGPU/Chapters/chapter1/figures/scalability.pdf and b/BookGPU/Chapters/chapter1/figures/scalability.pdf differ diff --git a/BookGPU/Chapters/chapter10/biblio.bib b/BookGPU/Chapters/chapter10/biblio.bib index 380d5f6..f5bc1eb 100644 --- a/BookGPU/Chapters/chapter10/biblio.bib +++ b/BookGPU/Chapters/chapter10/biblio.bib @@ -89,20 +89,20 @@ year = {2010}, } @Book{WRIGHT, -author = {S.J. Wright}, +author = {S. J. Wright}, title = {Primal-dual interior-point methods}, publisher = {SIAM}, year = {1998} } @Misc{THOMAD, -author = {M.E. Thomadakis and J.-C. Liu}, +author = {M. E. Thomadakis and J.-C. Liu}, title = {An efficient steepest-edge simplex algorithm for {SIMD} computers}, year = {1996} } @Misc{HALL, -author = {J.A.J. Hall}, +author = {J. A. J. Hall}, title = {Towards a practical parallelisation of the simplex method}, year = {2007} } @@ -134,7 +134,7 @@ year = {2011} } @TechReport{DANTZIG80, -author = {G.B. Dantzig}, +author = {G. B. Dantzig}, title = {Expected number of steps of the simplex method for a linear program with a convexity constraint}, institution = {Stanford {U}niversity}, year = {1980} @@ -148,7 +148,7 @@ year = {2011}, } @Article{LALAMI11, -author = {M.E. Lalami{,} D. El-Baz and V. Boyer}, +author = {M. E. Lalami{,} D. El-Baz and V. Boyer}, title = {Multi GPU Implementation of the Simplex Algorithm}, journal = {IEEE International Conference on High Performance Computing and Communications}, year = {2011}, @@ -175,7 +175,7 @@ volume = {19} @book{dantzig1953product, title={The Product Form for the Inverse in the Simplex Method}, - author={DANTZIG, G.B. and Orchard-Hays, W. and RAND CORP SANTA MONICA CALIF.}, + author={Dantzig, G. B. and Orchard-Hays, W. and RAND Corp. Santa Monica Calif.}, url={http://books.google.ch/books?id=XLuttgAACAAJ}, year={1953}, publisher={Defense Technical Information Center} @@ -204,14 +204,14 @@ volume = {19} } @PhdThesis{WOLTER06, -author = {Kati Wolter}, +author = {K. Wolter}, title = {Implementation of cutting plane separators for mixed integer programs}, school = {TU Berlin}, year = {2006} } @PhdThesis{ACHTERBERG07, -author = {Tobias Achterberg}, +author = {T. Achterberg}, title = {Constraint integer programming}, school = {TU Berlin}, year = {2007} @@ -227,7 +227,7 @@ doi={10.1007/BF02025534}, title={A fast LU update for linear programming}, url={http://dx.doi.org/10.1007/BF02025534}, publisher={Baltzer Science Publishers, Baarn/Kluwer Academic Publishers}, -author={Suhl, LeenaM. and Suhl, UweH.}, +author={Suhl, L. M. and Suhl, U. H.}, pages={33-47}, language={English} } @@ -254,13 +254,13 @@ doi={10.1007/BF01584074}, title={Experiments in mixed-integer linear programming}, url={http://dx.doi.org/10.1007/BF01584074}, publisher={Springer-Verlag}, -author={Benichou, M. and Gauthier, J.M. and Girodet, P. and Hentges, G. and Ribiere, G. and Vincent, O.}, +author={Benichou, M. and Gauthier, J. M. and Girodet, P. and Hentges, G. and Ribiere, G. and Vincent, O.}, pages={76-94}, language={English} } @article{Achterberg05, - author = {Achterberg, Tobias and Koch, Thorsten and Martin, Alexander}, + author = {Achterberg, T. and Koch, T. and Martin, A.}, title = {Branching rules revisited}, journal = {Oper. Res. Lett.}, issue_date = {January, 2005}, diff --git a/BookGPU/Chapters/chapter5/ch5.tex b/BookGPU/Chapters/chapter5/ch5.tex index cbf81f3..1c5da65 100644 --- a/BookGPU/Chapters/chapter5/ch5.tex +++ b/BookGPU/Chapters/chapter5/ch5.tex @@ -178,9 +178,12 @@ An illustrative example of the numerical solution to the heat problem, using \eq \begin{center} \setlength\figurewidth{0.3\textwidth} % \setlength\figureheight{0.32\textwidth} % - \subfigure[$t=0.00s$]{\input{Chapters/chapter5/figures/HeatSolution0.tikz}} - \subfigure[$t=0.05s$]{\input{Chapters/chapter5/figures/HeatSolution0.049307.tikz}} + \subfigure[$t=0.00s$]%{\input{Chapters/chapter5/figures/HeatSolution0.tikz}} +{\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/HeatSolution0_conv.pdf}} + \subfigure[$t=0.05s$]%{\input{Chapters/chapter5/figures/HeatSolution0.049307.tikz}} +{\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/HeatSolution0_049307_conv.pdf}} %\subfigure[$t=0.10s$]{\input{Chapters/chapter5/figures/HeatSolution0.099723.tikz}} +{\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/HeatSolution0_099723_conv.pdf}} \end{center} \caption{Discrete solution at times $t=0s$ and $t=0.05s$, using \eqref{ch5:eq:heatinit} as initial condition and a small $20\times20$ numerical grid.}\label{ch5:fig:heatsolution} \end{figure} @@ -263,7 +266,8 @@ Solution times for the heat conduction problem is in itself not very interesting \setlength\figurewidth{0.4\textwidth} \begin{center} {\small -\input{Chapters/chapter5/figures/AlphaPerformanceGTX590_N16777216.tikz} +%\input{Chapters/chapter5/figures/AlphaPerformanceGTX590_N16777216.tikz} +{\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/AlphaPerformanceGTX590_N16777216_conv.pdf}} } \end{center} \caption{Single and double precision floating point operations per second for a two dimensional stencil operator on a numerical grid of size $4096^2$. Various stencil sizes are used $\alpha=1,2,3,4$, equivalent to $5$pt, $9$pt, $13$pt, and $17$pt stencils. Test environment 1.}\label{ch5:fig:stencilperformance} @@ -386,10 +390,14 @@ Defect correction in combination with multigrid preconditioning, enables efficie \setlength\figurewidth{0.33\textwidth} \begin{center} \subfigure[Convergence history for the conjugate gradient and multigrid methods, for two different problem sizes.]{\label{ch5:fig:poissonconvergence:a} - {\scriptsize \input{Chapters/chapter5/figures/ConvergenceMGvsCG.tikz}} -} \hspace{0.2cm}% + %{\scriptsize \input{Chapters/chapter5/figures/ConvergenceMGvsCG.tikz}} + {\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/ConvergenceMGvsCG_conv.pdf}} +} + + \hspace{0.2cm}% \subfigure[Defect correction convergence history for three different stencil sizes.]{\label{ch5:fig:poissonconvergence:b} - {\scriptsize \input{Chapters/chapter5/figures/ConvergenceDC.tikz}} + %{\scriptsize \input{Chapters/chapter5/figures/ConvergenceDC.tikz}} + {\includegraphics[width=0.5\textwidth]{Chapters/chapter5/figures/ConvergenceDC_conv.pdf}} } \end{center} \caption{Algorithmic performance for the conjugate gradient, multigrid, and defect correction methods, measured in terms of the relative residual per iteration.}\label{ch5:fig:poissonconvergence} @@ -449,11 +457,13 @@ Distributed performance for the finite difference stencil operation is illustrat \setlength\figurewidth{0.55\textwidth} \begin{center} \subfigure[Absolute timings, $\alpha=3$.]{ - {\small\input{Chapters/chapter5/figures/MultiGPUAlpha3TimingsTeslaM2050.tikz}} + %{\small\input{Chapters/chapter5/figures/MultiGPUAlpha3TimingsTeslaM2050.tikz}} + {\includegraphics[width=0.6\textwidth]{Chapters/chapter5/figures/MultiGPUAlpha3TimingsTeslaM2050_conv.pdf}} \label{ch5:fig:multigpu:a} } \subfigure[Performance at $N=4069^2$, single precision.]{ - {\small\input{Chapters/chapter5/figures/MultiGPUAlphaPerformanceTeslaM2050_N16777216.tikz}} + % {\small\input{Chapters/chapter5/figures/MultiGPUAlphaPerformanceTeslaM2050_N16777216.tikz}} +{\includegraphics[width=0.6\textwidth]{Chapters/chapter5/figures/MultiGPUAlphaPerformanceTeslaM2050_N16777216_conv.pdf}} \label{ch5:fig:multigpu:b} } \end{center} @@ -623,4 +633,4 @@ from the Danish Research Council for Technology and Production Sciences. 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14 Tf +(x) 8.4 Tj +-174.666 4.5 Td +(y) 8.4 Tj +Q +Q +Q +Q +showpage +%%PageTrailer +pdfEndPage +%%Trailer +end +%%DocumentSuppliedResources: +%%EOF diff --git a/BookGPU/Chapters/chapter7/ch7.tex b/BookGPU/Chapters/chapter7/ch7.tex index e4ffb0a..c18d417 100644 --- a/BookGPU/Chapters/chapter7/ch7.tex +++ b/BookGPU/Chapters/chapter7/ch7.tex @@ -819,10 +819,12 @@ Ideally, the ratio $\mathcal{C}_\mathcal{G}/\mathcal{C}_\mathcal{F}$ is small an \setlength\figureheight{0.35\textwidth} \setlength\figurewidth{0.37\textwidth} \subfigure[Performance scaling]{ - {\small\input{Chapters/chapter7/figures/PararealScaletestGTX590.tikz}} +% {\small\input{Chapters/chapter7/figures/PararealScaletestGTX590.tikz}} + \includegraphics[width=0.5\textwidth]{Chapters/chapter7/figures/PararealScaletestGTX590_conv.pdf} } \subfigure[Speedup]{ - {\small\input{Chapters/chapter7/figures/PararealSpeedupGTX590.tikz}} + % {\small\input{Chapters/chapter7/figures/PararealSpeedupGTX590.tikz}} + \includegraphics[width=0.5\textwidth]{Chapters/chapter7/figures/PararealSpeedupGTX590_conv.pdf} } \end{center} \caption{(a) Parareal absolute timings for an increasingly number of water waves traveling one wave length, each wave resolution is ($33\times 9$). (b) Parareal speedup for two to sixteen compute nodes compared to the purely sequential single GPU solver. Notice how insensitive the parareal scheme is to the size of the problem solved. Test environment 2.}\label{ch7:fig:DDPA_SPEEDUP} diff --git a/BookGPU/Chapters/chapter7/figures/PararealScaletestGTX590_conv.pdf b/BookGPU/Chapters/chapter7/figures/PararealScaletestGTX590_conv.pdf new file mode 100644 index 0000000..1da9279 Binary files /dev/null and b/BookGPU/Chapters/chapter7/figures/PararealScaletestGTX590_conv.pdf differ diff --git a/BookGPU/Chapters/chapter7/figures/PararealSpeedupGTX590_conv.pdf b/BookGPU/Chapters/chapter7/figures/PararealSpeedupGTX590_conv.pdf new file mode 100644 index 0000000..603b629 Binary files /dev/null and b/BookGPU/Chapters/chapter7/figures/PararealSpeedupGTX590_conv.pdf differ diff --git a/BookGPU/Chapters/chapter8/ch8.tex b/BookGPU/Chapters/chapter8/ch8.tex index 9352b56..101a552 100644 --- a/BookGPU/Chapters/chapter8/ch8.tex +++ b/BookGPU/Chapters/chapter8/ch8.tex @@ -3,7 +3,7 @@ \chapterauthor{Nouredine Melab}{Universit\'e Lille 1 CNRS/LIFL, INRIA Lille Nord Europe, Cit\'e scientifique - 59655, Villeneuve d'Ascq cedex, France\\} \chapter{GPU-accelerated Tree-based Exact Optimization Methods} - +\label{ch8:GPU-accelerated-tree-based-exact-optimization-methods} \section{Introduction} \label{ch8:introduction} @@ -858,4 +858,4 @@ Experiments show also that the proposed refactoring approach improves the parall In the near future, we plan to extend this work to a cluster of GPU-accelerated multi-core processors. From the application point of view, the objective is to optimally solve challenging and unsolved Flow-Shop instances as we did it for one 50$\times$20 problem instance with grid computing \cite{ch8:Mezmaz_2007}. Finally, we plan to investigate other lower bound functions to deal with other combinatorial optimization problems. -\putbib[Chapters/chapter8/biblio8] \ No newline at end of file +\putbib[Chapters/chapter8/biblio8]