From f22d9c87ca801d113a9515f97f4ee6edb17c57be Mon Sep 17 00:00:00 2001 From: noah Date: Sat, 22 Apr 2023 17:13:30 -0500 Subject: [PATCH] Titles for previous plots. Conclusions and Future Work --- Bibliography.bib | 41 ++++++++++++++++++++++++ Schrick-Noah_MPI-Tasking.aux | 28 +++++++++------- Schrick-Noah_MPI-Tasking.bbl | 15 +++++++++ Schrick-Noah_MPI-Tasking.blg | 56 ++++++++++++++++---------------- Schrick-Noah_MPI-Tasking.log | 60 +++++++++++++++++++---------------- Schrick-Noah_MPI-Tasking.pdf | Bin 897394 -> 943257 bytes Schrick-Noah_MPI-Tasking.tex | 7 ++++ images/appl-eff.png | Bin 26088 -> 38138 bytes images/appl-speedup.png | Bin 40093 -> 51802 bytes images/exploit-eff.png | Bin 21019 -> 31668 bytes images/exploit-speedup.png | Bin 22740 -> 33159 bytes images/load-eff.png | Bin 17347 -> 29248 bytes images/load-speedup.png | Bin 25920 -> 35951 bytes 13 files changed, 141 insertions(+), 66 deletions(-) diff --git a/Bibliography.bib b/Bibliography.bib index effc2da..9237d5b 100644 --- a/Bibliography.bib +++ b/Bibliography.bib @@ -1360,3 +1360,44 @@ month = {oct}, keywords = {cyber-physical system, high performance computing, attack graph, breadth-first search} } +@article{Gust, + author = {Gustafson, John L.}, + title = {Reevaluating Amdahl's Law}, + year = {1988}, + issue_date = {May 1988}, + publisher = {Association for Computing Machinery}, + address = {New York, NY, USA}, + volume = {31}, + number = {5}, + issn = {0001-0782}, + url = {https://doi.org/10.1145/42411.42415}, + doi = {10.1145/42411.42415}, + journal = {Commun. ACM}, + month = {may}, + pages = {532–533}, + numpages = {2} +} + +@inproceedings{sun, + title={Another view on parallel speedup}, + author={Sun, Xian-He and Ni, Lionel M}, + booktitle={Proceedings of the 1990 ACM/IEEE conference on Supercomputing}, + pages={324--333}, + year={1990} +} + +@inproceedings{Amdahl, + author = {Amdahl, Gene M.}, + title = {Validity of the Single Processor Approach to Achieving Large Scale Computing Capabilities}, + year = {1967}, + isbn = {9781450378956}, + publisher = {Association for Computing Machinery}, + address = {New York, NY, USA}, + url = {https://doi.org/10.1145/1465482.1465560}, + doi = {10.1145/1465482.1465560}, + booktitle = {Proceedings of the April 18-20, 1967, Spring Joint Computer Conference}, + pages = {483–485}, + numpages = {3}, + location = {Atlantic City, New Jersey}, + series = {AFIPS '67 (Spring)} + } \ No newline at end of file diff --git a/Schrick-Noah_MPI-Tasking.aux b/Schrick-Noah_MPI-Tasking.aux index 32ed720..f50de5f 100644 --- a/Schrick-Noah_MPI-Tasking.aux +++ b/Schrick-Noah_MPI-Tasking.aux @@ -112,6 +112,15 @@ \newlabel{fig:overall-speedup}{{12}{9}{Minimum, Maximum, and Mean Speedups of MPI Tasking Across All Problem Sizes}{figure.12}{}} \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces Minimum, Maximum, and Mean Efficiencies of MPI Tasking Across All Problem Sizes}}{9}{figure.13}\protected@file@percent } \newlabel{fig:overall-efficiency}{{13}{9}{Minimum, Maximum, and Mean Efficiencies of MPI Tasking Across All Problem Sizes}{figure.13}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Mean Speedup and Efficiency for the Exploit Parameter Across the Number of Compute Nodes}}{10}{figure.14}\protected@file@percent } +\newlabel{fig:param-exploit}{{14}{10}{Mean Speedup and Efficiency for the Exploit Parameter Across the Number of Compute Nodes}{figure.14}{}} +\@writefile{toc}{\contentsline {section}{\numberline {VIII}Conclusion and Future Work}{10}{section.8}\protected@file@percent } +\newlabel{sec:FW}{{VIII}{10}{Conclusion and Future Work}{section.8}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces Mean Speedup and Efficiency for the Applicability of Exploit Parameter Across the Number of Compute Nodes}}{10}{figure.15}\protected@file@percent } +\newlabel{fig:param-appl}{{15}{10}{Mean Speedup and Efficiency for the Applicability of Exploit Parameter Across the Number of Compute Nodes}{figure.15}{}} +\citation{Amdahl} +\citation{Gust} +\citation{sun} \bibdata{Bibliography} \bibcite{9678822}{1} \bibcite{7993827}{2} @@ -126,13 +135,6 @@ \bibcite{pacheco_introduction_2011}{11} \bibcite{ainsworth_graph_2016}{12} \bibcite{yao_efficient_2018}{13} -\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Mean Speedup and Efficiency for the Exploit Parameter Across the Number of Compute Nodes}}{10}{figure.14}\protected@file@percent } -\newlabel{fig:param-exploit}{{14}{10}{Mean Speedup and Efficiency for the Exploit Parameter Across the Number of Compute Nodes}{figure.14}{}} -\@writefile{toc}{\contentsline {section}{\numberline {VIII}Conclusion and Future Work}{10}{section.8}\protected@file@percent } -\newlabel{sec:FW}{{VIII}{10}{Conclusion and Future Work}{section.8}{}} -\@writefile{toc}{\contentsline {section}{References}{10}{section*.1}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces Mean Speedup and Efficiency for the Applicability of Exploit Parameter Across the Number of Compute Nodes}}{10}{figure.15}\protected@file@percent } -\newlabel{fig:param-appl}{{15}{10}{Mean Speedup and Efficiency for the Applicability of Exploit Parameter Across the Number of Compute Nodes}{figure.15}{}} \bibcite{zhang_boosting_2017}{14} \bibcite{dai_fpgp_2016}{15} \bibcite{arifuzzaman_fast_2015}{16} @@ -145,9 +147,13 @@ \bibcite{li_concurrency_2019}{23} \bibcite{9150145}{24} \bibcite{7087377}{25} -\bibcite{li_combining_2019}{26} -\bibcite{Slurm}{27} -\bibstyle{ieeetr} \@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Mean Speedup and Efficiency for the Database Load Parameter Across the Number of Compute Nodes}}{11}{figure.16}\protected@file@percent } \newlabel{fig:param-load}{{16}{11}{Mean Speedup and Efficiency for the Database Load Parameter Across the Number of Compute Nodes}{figure.16}{}} -\gdef \@abspage@last{11} +\@writefile{toc}{\contentsline {section}{References}{11}{section*.1}\protected@file@percent } +\bibcite{li_combining_2019}{26} +\bibcite{Slurm}{27} +\bibcite{Amdahl}{28} +\bibcite{Gust}{29} +\bibcite{sun}{30} +\bibstyle{ieeetr} +\gdef \@abspage@last{12} diff --git a/Schrick-Noah_MPI-Tasking.bbl b/Schrick-Noah_MPI-Tasking.bbl index 4942d70..1b64f71 100644 --- a/Schrick-Noah_MPI-Tasking.bbl +++ b/Schrick-Noah_MPI-Tasking.bbl @@ -140,4 +140,19 @@ M.~Li, P.~Hawrylak, and J.~Hale, ``Combining {OpenCL} and {MPI} to support \bibitem{Slurm} SchedMD, ``Slurm {Workload} {Manager}.'' +\bibitem{Amdahl} +G.~M. Amdahl, ``Validity of the single processor approach to achieving large + scale computing capabilities,'' in {\em Proceedings of the April 18-20, 1967, + Spring Joint Computer Conference}, AFIPS '67 (Spring), (New York, NY, USA), + p.~483–485, Association for Computing Machinery, 1967. + +\bibitem{Gust} +J.~L. Gustafson, ``Reevaluating amdahl's law,'' {\em Commun. ACM}, vol.~31, + p.~532–533, may 1988. + +\bibitem{sun} +X.-H. Sun and L.~M. Ni, ``Another view on parallel speedup,'' in {\em + Proceedings of the 1990 ACM/IEEE conference on Supercomputing}, pp.~324--333, + 1990. + \end{thebibliography} diff --git a/Schrick-Noah_MPI-Tasking.blg b/Schrick-Noah_MPI-Tasking.blg index cb50ce4..b9b1654 100644 --- a/Schrick-Noah_MPI-Tasking.blg +++ b/Schrick-Noah_MPI-Tasking.blg @@ -5,45 +5,45 @@ The style file: ieeetr.bst Database file #1: Bibliography.bib Warning--entry type for "Slurm" isn't style-file defined --line 1112 of file Bibliography.bib -You've used 27 entries, +You've used 30 entries, 1876 wiz_defined-function locations, - 614 strings with 8964 characters, -and the built_in function-call counts, 6725 in all, are: -= -- 621 -> -- 283 + 636 strings with 9395 characters, +and the built_in function-call counts, 7761 in all, are: += -- 739 +> -- 299 < -- 0 -+ -- 105 -- -- 78 -* -- 456 -:= -- 942 -add.period$ -- 27 -call.type$ -- 27 -change.case$ -- 27 ++ -- 112 +- -- 82 +* -- 504 +:= -- 1055 +add.period$ -- 30 +call.type$ -- 30 +change.case$ -- 30 chr.to.int$ -- 0 -cite$ -- 27 -duplicate$ -- 359 -empty$ -- 693 -format.name$ -- 78 -if$ -- 1648 +cite$ -- 30 +duplicate$ -- 437 +empty$ -- 789 +format.name$ -- 82 +if$ -- 1925 int.to.chr$ -- 0 -int.to.str$ -- 27 -missing$ -- 23 -newline$ -- 87 -num.names$ -- 26 -pop$ -- 135 +int.to.str$ -- 30 +missing$ -- 26 +newline$ -- 96 +num.names$ -- 29 +pop$ -- 148 preamble$ -- 1 purify$ -- 0 quote$ -- 0 -skip$ -- 221 +skip$ -- 296 stack$ -- 0 -substring$ -- 383 -swap$ -- 122 +substring$ -- 451 +swap$ -- 169 text.length$ -- 0 text.prefix$ -- 0 top$ -- 0 type$ -- 0 warning$ -- 0 -while$ -- 60 -width$ -- 29 -write$ -- 240 +while$ -- 68 +width$ -- 32 +write$ -- 271 (There was 1 warning) diff --git a/Schrick-Noah_MPI-Tasking.log b/Schrick-Noah_MPI-Tasking.log index fbbee17..5a79da5 100644 --- a/Schrick-Noah_MPI-Tasking.log +++ b/Schrick-Noah_MPI-Tasking.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Arch Linux) (preloaded format=pdflatex 2023.4.3) 22 APR 2023 16:00 +This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Arch Linux) (preloaded format=pdflatex 2023.4.3) 22 APR 2023 17:12 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -651,37 +651,43 @@ Underfull \vbox (badness 3815) has occurred while \output is active [] [9 <./images/applicability-runtime.png> <./images/dbload-runtime.png> <./image s/overall-speedup.png> <./images/overall-efficiency.png>] -<./images/exploit-speedup.png, id=292, 414.8298pt x 312.2064pt> +<./images/exploit-speedup.png, id=292, 414.8298pt x 344.0052pt> File: ./images/exploit-speedup.png Graphic file (type png) Package pdftex.def Info: ./images/exploit-speedup.png used on input line 357. -(pdftex.def) Requested size: 252.0pt x 189.65482pt. -<./images/exploit-eff.png, id=293, 414.8298pt x 312.2064pt> +(pdftex.def) Requested size: 252.0pt x 208.97151pt. +<./images/exploit-eff.png, id=293, 414.8298pt x 344.0052pt> File: ./images/exploit-eff.png Graphic file (type png) Package pdftex.def Info: ./images/exploit-eff.png used on input line 358. -(pdftex.def) Requested size: 252.0pt x 189.65482pt. -<./images/appl-speedup.png, id=294, 409.7709pt x 312.2064pt> +(pdftex.def) Requested size: 252.0pt x 208.97151pt. +<./images/appl-speedup.png, id=294, 409.7709pt x 344.0052pt> File: ./images/appl-speedup.png Graphic file (type png) Package pdftex.def Info: ./images/appl-speedup.png used on input line 365. -(pdftex.def) Requested size: 252.0pt x 191.99866pt. -<./images/appl-eff.png, id=295, 409.7709pt x 312.2064pt> +(pdftex.def) Requested size: 252.0pt x 211.55406pt. +<./images/appl-eff.png, id=295, 409.7709pt x 344.0052pt> File: ./images/appl-eff.png Graphic file (type png) Package pdftex.def Info: ./images/appl-eff.png used on input line 366. -(pdftex.def) Requested size: 252.0pt x 191.99866pt. -<./images/load-speedup.png, id=296, 409.7709pt x 312.2064pt> +(pdftex.def) Requested size: 252.0pt x 211.55406pt. +<./images/load-speedup.png, id=296, 409.7709pt x 344.0052pt> File: ./images/load-speedup.png Graphic file (type png) Package pdftex.def Info: ./images/load-speedup.png used on input line 373. -(pdftex.def) Requested size: 252.0pt x 191.99866pt. -<./images/load-eff.png, id=297, 409.7709pt x 312.2064pt> +(pdftex.def) Requested size: 252.0pt x 211.55406pt. +<./images/load-eff.png, id=297, 409.7709pt x 344.0052pt> File: ./images/load-eff.png Graphic file (type png) Package pdftex.def Info: ./images/load-eff.png used on input line 374. -(pdftex.def) Requested size: 252.0pt x 191.99866pt. - 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PY+O7jG&GXRQYilcb$k@k diff --git a/Schrick-Noah_MPI-Tasking.tex b/Schrick-Noah_MPI-Tasking.tex index 794d355..97f17a9 100644 --- a/Schrick-Noah_MPI-Tasking.tex +++ b/Schrick-Noah_MPI-Tasking.tex @@ -378,6 +378,13 @@ Speedups and efficiencies were also computed across each parameter. Using pivot \section{Conclusion and Future Work} \label{sec:FW} +This work presents a task parallelism approach for large-scale attack and compliance graphs. This approach is a distributed approach rather than a shared-memory approach, allowing for the generation of these large-scale graphs to be deployed on HPC systems. Tasks were identified in the generation process, with parallelization of the tasks clearly identified and incorporated into the tasking algorithm. The results of this approach highlighted its success, showing speedups as generation parameters and the number of nodes increased. Efficiencies were also computed, with various figures illustrating the efficiency across the generation process as a whole, as well as efficiencies across individual parameters. + +Future work can be performed to investigate and improve the method of this work. This work focused on a distributed approach to large-scale graph generation, but leaves room for additional parallelism at the node-level. For example, after work for Tasks 1 or 2 has been distributed to a node, the node can then leverage OpenMP for additional parallelism. Results can be obtained to show how the additional parallelism affects the speedup and efficiency of the approach. + +Additional work can be performed to investigate long-term speedup and efficiency of the approach. This work made use of a local HPC cluster with a limited number of compute nodes. The generation algorithm can be deployed to larger clusters to measure speedup and efficiency as more nodes are added to the tasking pipeline. Scalability can likewise be reexamined as the number of nodes increases. + +The analysis portion of this work also has room for additional investigations. This work measured speedup according to Amdahl \cite{Amdahl}. Since tasks are clearly defined and timing data is collected for each task, other speedup metrics can be used. Both Gustafson's Law \cite{Gust} and Sun and Ni's Law \cite{sun} can be leveraged to obtain other results regarding the speedup of the tasking approach. %\bibliographyp \bibliography{Bibliography} diff --git a/images/appl-eff.png b/images/appl-eff.png index 1c26bfcc861331a1ac778ea48927afe0f9061f06..84de3fc84389b3138f835b762aff91b1b1ec07f7 100644 GIT binary patch literal 38138 zcmbrm2|SkV`Y!xv5Xn@M5Gkb$Q9@;kG-xm+L#Co+$e4MSDWNneC3BI?$xK92NhmT; zdCNS7Okp3Fde^u2fA8=6?Y+PEx7K=FdEC!^U)On^=W!m#ao*Qel#bG`W?xOAQ0Ntp zDV(NImPt@3RIN1B_#6I1L09mv{dR}7?9{9-**O|qF`}F@u(LL|vNJa|-0Wa<#n#ly zQgoO2E>XeFCU$n#wg-fTE&lU?T~=3&g{voDP2wW7*2m7;QYefD6%eo^ z);rqC`?O%Aio!wFH{QpXS4utKd)4<*qS+c$H~cUS1x>>u?ZjjPv*p5%wDaAt9?M6TP*|rClbTO&suL3fpUX z`du^Uu5fV+`JPV^%$aK_-EI2$3H$i>rkF#kXm~^% zhg+>Bo@!|4Sn8E{X3EnPE-uV2`gm?S`7wH5cZmI=V-S7yX;e8PqEI6R^6| z)t(F8YLStVsq|LOFKJh zJ!8Hvc-DIrm(yl*i^P88QTg326DGRO-$P}-M;x$Uedsd(k9iMHNryFe`IL{u9l241 zy^DS@{!z4gv#990r%#_wk5zE*b{y7C*3DZh=`eWk;>C*rI(nkNe~(v(NjdL163iAe 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