From c5e955a887e3101d3d204b67e6cdaa6cfa2f26d6 Mon Sep 17 00:00:00 2001 From: noah Date: Thu, 31 Mar 2022 14:11:19 -0500 Subject: [PATCH] Edits to Abstract --- Chapter1.tex | 2 +- Chapter3.aux | 30 +++++----- Chapter3.tex | 48 +++++++-------- Chapter4.aux | 8 +-- Chapter4.tex | 10 ++-- Chapter5.aux | 38 ++++++------ Chapter5.tex | 2 +- Schrick-Noah_MS-Thesis.aux | 8 +-- Schrick-Noah_MS-Thesis.lof | 4 +- Schrick-Noah_MS-Thesis.log | 116 ++++++++++++++++++------------------- Schrick-Noah_MS-Thesis.pdf | Bin 2130300 -> 2129906 bytes Schrick-Noah_MS-Thesis.tex | 4 +- Schrick-Noah_MS-Thesis.toc | 54 ++++++++--------- TUthesis.sty | 6 +- 14 files changed, 165 insertions(+), 165 deletions(-) diff --git a/Chapter1.tex b/Chapter1.tex index f48087c..1028605 100644 --- a/Chapter1.tex +++ b/Chapter1.tex @@ -24,7 +24,7 @@ cyber-physical systems lies not only in the demand for cybersecurity of these sy additional compliance guidelines that must be followed, increasing the complexity required for examining compliance statuses. Compliance graphs are promising tools that can aid in minimizing the overhead caused by these systems and the regulations they must follow. A few alterations are required for attack graph generators to function as compliance graph generators, and these alterations -are discussed in Section \ref{CG-alter}. Compliance requirements are broad and varying, and can function as safety regulations, maintenance compliance, or any +are discussed in Section \ref{sec:CG-alter}. Compliance requirements are broad and varying, and can function as safety regulations, maintenance compliance, or any other regulatory compliance. In the same fashion as attack graphs, compliance graphs are exhaustive, and future system states can be analyzed to determine appropriate steps that need to be taken for preventative measures \cite{j_hale_compliance_nodate}. \TUsubsection{Defining Compliance Graphs} \label{sec:CG-alter} diff --git a/Chapter3.aux b/Chapter3.aux index 8b550ef..7906048 100644 --- a/Chapter3.aux +++ b/Chapter3.aux @@ -2,13 +2,18 @@ \@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{8}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {3.1}\bf Path Walking}{8}{}\protected@file@percent } \newlabel{sec:PW}{{3.1}{8}} -\@writefile{toc}{\contentsline {section}{\numberline {3.2}\bf Compound Operators}{8}{}\protected@file@percent } -\newlabel{sec:compops}{{3.2}{8}} -\citation{cook_rage_2018} \@writefile{lof}{\contentsline {figure}{\numberline {3.1}{\ignorespaces Path Walking to State 14\relax }}{9}{}\protected@file@percent } \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} \newlabel{fig:PW}{{3.1}{9}} -\@writefile{toc}{\contentsline {section}{\numberline {3.3}\bf Color Coding}{10}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {3.2}\bf Color Coding}{9}{}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations\relax }}{10}{}\protected@file@percent } +\newlabel{fig:CC}{{3.2}{10}} +\citation{cook_rage_2018} +\@writefile{toc}{\contentsline {section}{\numberline {3.3}\bf Compound Operators}{11}{}\protected@file@percent } +\newlabel{sec:compops}{{3.3}{11}} +\citation{CVE-2019-10747} +\@writefile{toc}{\contentsline {section}{\numberline {3.4}\bf Relational Operators}{12}{}\protected@file@percent } +\newlabel{sec:relops}{{3.4}{12}} \citation{cook_rage_2018} \citation{li_concurrency_2019} \citation{li_combining_2019} @@ -16,17 +21,12 @@ \citation{ainsworth_graph_2016} \citation{berry_graph_2007} \citation{cook_rage_2018} -\@writefile{toc}{\contentsline {section}{\numberline {3.4}\bf Intermediate Database Storage}{11}{}\protected@file@percent } -\newlabel{sec:db-stor}{{3.4}{11}} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.1}\it Memory Constraint Difficulties}{11}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations\relax }}{12}{}\protected@file@percent } -\newlabel{fig:CC}{{3.2}{12}} +\@writefile{toc}{\contentsline {section}{\numberline {3.5}\bf Intermediate Database Storage}{13}{}\protected@file@percent } +\newlabel{sec:db-stor}{{3.5}{13}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.1}\it Memory Constraint Difficulties}{13}{}\protected@file@percent } \citation{zhang_boosting_2017} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.2}\it Maximizing Performance with Intermediate Database Storage}{13}{}\protected@file@percent } -\citation{CVE-2019-10747} -\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.3}\it Portability}{15}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3.5}\bf Relational Operators}{15}{}\protected@file@percent } -\newlabel{sec:relops}{{3.5}{15}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.2}\it Maximizing Performance with Intermediate Database Storage}{14}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.3}\it Portability}{16}{}\protected@file@percent } \@setckpt{Chapter3}{ \setcounter{page}{17} \setcounter{equation}{0} @@ -39,7 +39,7 @@ \setcounter{part}{0} \setcounter{chapter}{3} \setcounter{section}{5} -\setcounter{subsection}{0} +\setcounter{subsection}{3} \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} diff --git a/Chapter3.tex b/Chapter3.tex index 677ee4e..949c6e5 100644 --- a/Chapter3.tex +++ b/Chapter3.tex @@ -20,6 +20,21 @@ of the original attack graph. \label{fig:PW} \end{figure} +\TUsection{Color Coding} +As a visual aid for analysis purposes, color coding was another feature implemented as a postprocessing tool for RAGE. When viewing the output graph of RAGE, all states are +visibly identical in appearance apart from number of edges, edge IDs, and state IDs. To allow for visual differentiation, color coding can be enabled in the run script. +Color coding currently functions by working through the graph output text file, but it can be extended to read directly from the PostgreSQL database instead. The feature scans through the +output file, and locates states that have $``compliance$\_$vios > 0"$ or $``compliance$\_$vio = true"$. For states that meet these +properties, the color coding feature will add a color to the Graphviz DOT file through the $[color=COL]$ attribute for the given node, where \textit{COL} is assigned based on severity. +For this version of color coding, severity is determined by the total number of compliance violations a node has, but future versions can alter the severity measure through alternative means. +Figure \ref{fig:CC} displays an example graph that leverages color coding to easily identify problem states. +\begin{figure}[htp] + \includegraphics[width=\linewidth]{"./Chapter3_img/CC.png"} + \vspace{.2truein} \centerline{} + \caption{Color Coding a Small Network Based on Violations} + \label{fig:CC} +\end{figure} + \TUsection{Compound Operators} \label{sec:compops} Many of the graphs previously generated by RAGE comprise of states with features that can be fully enumerated. In many of these generated graphs, there was an established set of qualities that was used, with an established set of values. These typically have included $``compliance$\_$vio=true/false"$, @@ -45,20 +60,16 @@ to make, since compound operators are conducted on numeric values, and matches t Other changes involved updating classes (namely the Quality, EncodedQuality, ParameterizedQuality, NetworkState, and Keyvalue classes) to include a new member for the operator in question. Auxiliary functions related to this new member, such as prints and getters, were also added. In addition, preconditions were altered to include operator overloads to check the asset identifier, quality name, and quality values for the update process. -\TUsection{Color Coding} -As a visual aid for analysis purposes, color coding was another feature implemented as a postprocessing tool for RAGE. When viewing the output graph of RAGE, all states are -visibly identical in appearance apart from number of edges, edge IDs, and state IDs. To allow for visual differentiation, color coding can be enabled in the run script. -Color coding currently functions by working through the graph output text file, but it can be extended to read directly from the PostgreSQL database instead. The feature scans through the -output file, and locates states that have $``compliance$\_$vios = X"$ (where \textit{X} is a number greater than 0), or $``compliance$\_$vio = true"$. For states that meet these -properties, the color coding feature will add a color to the Graphviz DOT file through the $[color=COL]$ attribute for the given node, where \textit{COL} is assigned based on severity. -For this version of color coding, severity is determined by the total number of compliance violations a node has, but future versions can alter the severity measure through alternative means. -Figure \ref{fig:CC} displays an example graph that leverages color coding to easily identify problem states. -\begin{figure}[htp] - \includegraphics[width=\linewidth]{"./Chapter3_img/CC.png"} - \vspace{.2truein} \centerline{} - \caption{Color Coding a Small Network Based on Violations} - \label{fig:CC} -\end{figure} +\TUsection{Relational Operators} \label{sec:relops} +As discussed in Section \ref{sec:compops}, many of the graphs previously generated by RAGE comprise of states with an established set of qualities and values. These typically have included $``compliance$\_$vio=true/false"$, +$``root=true/false"$, or other general $``true/false"$ values or $``version=X"$ qualities. To further expand the dynamism of graph generation, it is important to distinguish when a quality has a value that satisfies a +relational comparison to an exploit. An example application for attack graphs can be seen through CVE-2019-10747, where ``set-value is vulnerable to Prototype Pollution in versions lower than 3.0.1" \cite{CVE-2019-10747}. An example compliance graph application using the aforementioned car example can be seen in the Toyota Corolla Maintenance Schedule, which states an engine coolant replacement should be conducted after 24,000 miles. Prior to the implementation +of relational operators, to determine whether this exploit was applicable to a network state, multiple exploit qualities must be enumerated for all versions prior to 3.0.1. This would mean that the exploit needed to check if +\textit{version=3.0.0}, or \textit{version=2.0.0}, or \textit{version=1.0.0}, or \textit{version=0.4.3}, etc. For the compliance graph exploit check, this could lead to even worse scaling where checks needed to be conducted at a much more granular level like \textit{engine$\_$coolant$\_$miles=24001}, or \textit{engine$\_$coolant$\_$miles=24002}, or \textit{engine$\_$coolant$\_$miles=24003}, etc. This becomes increasingly tedious when there are many checks to perform, and this not only reduces readability, but is also more +prone to human error when creating the exploit files. Relational operators work to alleviate these difficulties. + +To implement the relational operators, operator overloads were placed into the Quality class. At the time of writing, the following are implemented: $==$, $<$, $>$, $\leq$, $\geq$. However, these operators do not take up room in the +encoding scheme, so additional operators can be freely implemented as needed. The overloads ensure that the Quality asset IDs and Quality names match, and then compares the Quality values based on the operator in question. \TUsection{Intermediate Database Storage}\label{sec:db-stor} \TUsubsection{Memory Constraint Difficulties} @@ -111,13 +122,4 @@ performance benefits of memory operations, since graph computation relies less o request option), and the intermediate database storage process would function in the same fashion. -\TUsection{Relational Operators} \label{sec:relops} -As discussed in Section \ref{sec:compops}, many of the graphs previously generated by RAGE comprise of states with an established set of qualities and values. These typically have included $``compliance$\_$vio=true/false"$, -$``root=true/false"$, or other general $``true/false"$ values or $``version=X"$ qualities. To further expand the dynamism of graph generation, it is important to distinguish when a quality has a value that satisfies a -relational comparison to an exploit. An example application for attack graphs can be seen through CVE-2019-10747, where ``set-value is vulnerable to Prototype Pollution in versions lower than 3.0.1" \cite{CVE-2019-10747}. An example compliance graph application using the aforementioned car example can be seen in the Toyota Corolla Maintenance Schedule, which states an engine coolant replacement should be conducted after 24,000 miles. Prior to the implementation -of relational operators, to determine whether this exploit was applicable to a network state, multiple exploit qualities must be enumerated for all versions prior to 3.0.1. This would mean that the exploit needed to check if -\textit{version=3.0.0}, or \textit{version=2.0.0}, or \textit{version=1.0.0}, or \textit{version=0.4.3}, etc. For the compliance graph exploit check, this could lead to even worse scaling where checks needed to be conducted at a much more granular level like \textit{engine$\_$coolant$\_$miles=24001}, or \textit{engine$\_$coolant$\_$miles=24002}, or \textit{engine$\_$coolant$\_$miles=24003}, etc. This becomes increasingly tedious when there are many checks to perform, and this not only reduces readability, but is also more -prone to human error when creating the exploit files. Relational operators work to alleviate these difficulties. -To implement the relational operators, operator overloads were placed into the Quality class. At the time of writing, the following are implemented: $==$, $<$, $>$, $\leq$, $\geq$. However, these operators do not take up room in the -encoding scheme, so additional operators can be freely implemented as needed. The overloads ensure that the Quality asset IDs and Quality names match, and then compares the Quality values based on the operator in question. diff --git a/Chapter4.aux b/Chapter4.aux index 81bbf76..516bc12 100644 --- a/Chapter4.aux +++ b/Chapter4.aux @@ -10,20 +10,20 @@ \citation{cook_rage_2018} \@writefile{lof}{\contentsline {figure}{\numberline {4.1}{\ignorespaces A network without Synchronous Firing generating infeasible states\relax }}{18}{}\protected@file@percent } \newlabel{fig:non-sync_ex}{{4.1}{18}} -\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.1}\it Synchronous Firing in Literature}{18}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.1}\it Related Synchronous Firing Work}{18}{}\protected@file@percent } \newlabel{sec:sync-lit}{{4.1.1}{18}} \citation{cook_rage_2018} \citation{louthan_hybrid_2011} -\@writefile{toc}{\contentsline {section}{\numberline {4.2}\bf Necessary Alterations}{19}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {4.2}\bf Necessary Alterations and Additions}{19}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {4.2.1}\it GNU Bison and Flex}{19}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {4.2.2}\it PostgreSQL}{20}{}\protected@file@percent } \@writefile{lof}{\contentsline {figure}{\numberline {4.2}{\ignorespaces Inclusion of Synchronous Firing into GNU Bison, GNU Flex, and the overall program\relax }}{21}{}\protected@file@percent } \newlabel{fig:bison-flex}{{4.2}{21}} \@writefile{toc}{\contentsline {subsection}{\numberline {4.2.3}\it Compound Operators}{21}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {4.2.4}\it Graph Generation}{21}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {4.3}\bf Example Networks and Results}{22}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {4.3}\bf Experimental Networks and Results}{22}{}\protected@file@percent } \newlabel{sec:test-platform}{{4.3}{22}} -\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.1}\it Example Networks}{22}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.1}\it Experimental Networks}{22}{}\protected@file@percent } \newlabel{sec:Sync-Test}{{4.3.1}{22}} \@writefile{lof}{\contentsline {figure}{\numberline {4.3}{\ignorespaces Synchronous Firing in the Graph Generation Process\relax }}{23}{}\protected@file@percent } \newlabel{fig:sync-fire}{{4.3}{23}} diff --git a/Chapter4.tex b/Chapter4.tex index 448fb08..924e085 100644 --- a/Chapter4.tex +++ b/Chapter4.tex @@ -25,7 +25,7 @@ from generating and exploring the unattainable states. Instead, a new feature ca The goal of the synchronous firing feature is to prevent the generation of unattainable states, while also not incurring a greater computational cost. This Chapter will discuss the development of this feature, discuss its references and inspiration in literature, and examine the results when using this feature in applicable networks. -\TUsubsection{Synchronous Firing in Literature} \label{sec:sync-lit} +\TUsubsection{Related Synchronous Firing Work} \label{sec:sync-lit} A form of synchronous firing is discussed by the author of \cite{louthan_hybrid_2011}, where it is described as grouped exploits. The functionality discussed by the author is similar: firing an exploit should be performed on all possible assets simultaneously. This was also described as synchronizing multiple exploits. The methodology is similar to the one implemented in this work, but there are notable differences. The first, is that the work performed by the author of \cite{louthan_hybrid_2011} utilizes global features with group features. Using the @@ -36,8 +36,8 @@ grouped exploit feature would attempt to fire all exploits on all applicable ass the applicable assets would. The last difference is that the work by the author of \cite{louthan_hybrid_2011} was developed in Python, since that was the language of the generator of the tool at the time. The work by the author of \cite{cook_rage_2018} led to new development of RAGE in C++ for performance enhancements, so the synchronous firing feature in this new work was likewise developed in C++. -\TUsection{Necessary Alterations} -For the implementation of the synchronous firing feature, there were four primary changes that were necessary. The first is a change in the lexical analyzer, the second involves multiple changes +\TUsection{Necessary Alterations and Additions} +For the implementation of the synchronous firing feature, there were four primary changes and additions that were necessary. The first is a change in the lexical analyzer, the second involves multiple changes to PostgreSQL, the third is the implementation of compound operators (as discussed in Section \ref{sec:compops}), and lastly is a change in the graph generation process. This Section will consist of subsections discussing the development of these four alterations. @@ -89,7 +89,7 @@ The implementation of synchronous firing in the graph generation process relies \end{figure} -\TUsection{Example Networks and Results} \label{sec:test-platform} +\TUsection{Experimental Networks and Results} \label{sec:test-platform} All data was collected on a 13 node cluster, with 12 nodes serving as dedicated compute nodes, and 1 node serving as the login node. Each compute node has a configuration as follows: \begin{itemize} \item{OS: CentOS release 6.9} @@ -100,7 +100,7 @@ All data was collected on a 13 node cluster, with 12 nodes serving as dedicated \end{itemize} All nodes are connected with a 10Gbps Infiniband interconnect. -\TUsubsection{Example Networks} \label{sec:Sync-Test} +\TUsubsection{Experimental Networks} \label{sec:Sync-Test} The example networks for testing the effectiveness of synchronous firing follow the compliance graph generation approach. These networks analyze two assets, both of which are identical 2006 Toyota Corolla cars with identical qualities. The generation examines both cars at their current states, and proceeds to advance in time by a pre-determined amount, up to a pre-determined limit. Each time increment updates each car by an identical amount of mileage. During the generation process, it is determined if a car is out of compliance either through mileage or time since its last maintenance in accordance with the Toyota Corolla Maintenance Schedule manual. In addition, the tests employ the use of ``services", where if a car is out of compliance, it will go through a correction process and reset the mileage and time since last service. Each test varies in the number of services used. The 1 Service test only employs one service, and it is dedicated to brake pads. The 2 Service test employs two services, where the first service is dedicated to the brake pads, and the second is for exhaust pipes. 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diff --git a/Chapter5.tex b/Chapter5.tex index fa25e55..d933040 100644 --- a/Chapter5.tex +++ b/Chapter5.tex @@ -1,4 +1,4 @@ -\TUchapter{Utilization OF MESSAGE PASSING INTERFACE} \label{ch:MPI} +\TUchapter{Parallelization Using MESSAGE PASSING INTERFACE} \label{ch:MPI} \TUsection{Introduction to MPI Utilization for Attack and Compliance Graph Generation} Previous works for graph generation, and specifically for attack graph generation, have seen promising results as discussed in Sections \ref{sec:gen_improv} and \ref{sec:related_works}. This work attempts to further those efforts and extend RAGE to function on distributed computing environments to take advantage of the increased computing power using message-passing. As mentioned by the author of \cite{pacheco_introduction_2011}, MPI is the most widely used message-passing API, and this work intended to utilize an API that was not only familiar and accessible, but versatile and powerful for parallelizing RAGE for distributed computing platforms. This Chapter discusses two approaches for parallelism: task parallelism in Section \ref{sec:Tasking-Approach}, and data parallelism in Section \ref{sec:Subgraphing_Approach}. All approaches in this work utilize OpenMPI for the MPI implementation. diff --git a/Schrick-Noah_MS-Thesis.aux b/Schrick-Noah_MS-Thesis.aux index ce8680a..3ab7e92 100644 --- a/Schrick-Noah_MS-Thesis.aux +++ b/Schrick-Noah_MS-Thesis.aux @@ -6,13 +6,13 @@ \@writefile{toc}{{\hfill \ }} \@writefile{toc}{\contentsline {section}{\hspace {-\parindent }ACKNOWLEDGEMENTS}{v}{}\protected@file@percent } \@writefile{toc}{{\hfill \ }} -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }TABLE OF CONTENTS}{vii}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }TABLE OF CONTENTS}{viii}{}\protected@file@percent } \@writefile{toc}{{\hfill \ }} \@writefile{lot}{{\vspace {\baselineskip }}} -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }LIST OF TABLES}{viii}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }LIST OF TABLES}{ix}{}\protected@file@percent } \@writefile{toc}{{\hfill \ }} \@writefile{lof}{{\vspace {\baselineskip }}} -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }LIST OF FIGURES}{x}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }LIST OF FIGURES}{xi}{}\protected@file@percent } \@input{Chapter1.aux} \@input{Chapter2.aux} \@input{Chapter3.aux} @@ -58,4 +58,4 @@ \bibcite{pacheco_introduction_2011}{31} \bibcite{lawrence_livermore_national_laboratory_mpip_nodate}{32} \bibstyle{ieeetr} -\gdef \@abspage@last{71} +\gdef \@abspage@last{72} diff --git a/Schrick-Noah_MS-Thesis.lof b/Schrick-Noah_MS-Thesis.lof index 1f1cfc1..4483eb8 100644 --- a/Schrick-Noah_MS-Thesis.lof +++ b/Schrick-Noah_MS-Thesis.lof @@ -1,6 +1,6 @@ {\vspace {\baselineskip }} \contentsline {figure}{\numberline {3.1}{\ignorespaces Path Walking to State 14\relax }}{9}{}% -\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations\relax }}{12}{}% +\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations\relax }}{10}{}% \contentsline {figure}{\numberline {4.1}{\ignorespaces A network without Synchronous Firing generating infeasible states\relax }}{18}{}% \contentsline {figure}{\numberline {4.2}{\ignorespaces Inclusion of Synchronous Firing into GNU Bison, GNU Flex, and the overall program\relax }}{21}{}% \contentsline {figure}{\numberline {4.3}{\ignorespaces Synchronous Firing in the Graph Generation Process\relax }}{23}{}% @@ -11,7 +11,7 @@ \contentsline {figure}{\numberline {5.3}{\ignorespaces Data Distribution of Task One\relax }}{34}{}% \contentsline {figure}{\numberline {5.4}{\ignorespaces Communication From Task 1 to Task 2 when the Number of Nodes Allocated is Equal\relax }}{35}{}% \contentsline {figure}{\numberline {5.5}{\ignorespaces Communication From Task 1 to Task 2 when Task 1 Has More Nodes Allocated\relax }}{36}{}% -\contentsline {figure}{\numberline {5.6}{\ignorespaces Example of a Not Applicable Exploit for the MPI Tasking Testing\relax }}{39}{}% +\contentsline {figure}{\numberline {5.6}{\ignorespaces Example of a Not Applicable Exploit for the MPI Tasking Testing\relax }}{40}{}% \contentsline {figure}{\numberline {5.7}{\ignorespaces Speedup and Efficiency of the MPI Tasking Approach for a Varying Number of Compute Nodes with an Increasing Problem Size\relax }}{40}{}% \contentsline {figure}{\numberline {5.8}{\ignorespaces Example Graph Using the MPI Subgraphing Approach\relax }}{42}{}% \contentsline {figure}{\numberline {5.9}{\ignorespaces Frontier Merging and Data Distribution Process\relax }}{44}{}% diff --git a/Schrick-Noah_MS-Thesis.log b/Schrick-Noah_MS-Thesis.log index a6b51fa..5fe4a7a 100644 --- a/Schrick-Noah_MS-Thesis.log +++ b/Schrick-Noah_MS-Thesis.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21) 28 MAR 2022 03:00 +This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21) 28 MAR 2022 16:22 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -241,24 +241,29 @@ Overfull \hbox (1.75291pt too wide) in paragraph at lines 24--24 [6 -]) +] +Overfull \hbox (1.5755pt too wide) in paragraph at lines 44--44 + [] []\OT1/cmr/bx/n/12 PARALLELIZATION US-ING MES-SAGE PASS-ING IN-TER- + [] + +) \tf@toc=\write3 \openout3 = `Schrick-Noah_MS-Thesis.toc'. - [7] (./Schrick-Noah_MS-Thesis.lot) + [7] [8] (./Schrick-Noah_MS-Thesis.lot) \tf@lot=\write4 \openout4 = `Schrick-Noah_MS-Thesis.lot'. - [8 + [9 ] (./Schrick-Noah_MS-Thesis.lof -[9 +[10 ]) \tf@lof=\write5 \openout5 = `Schrick-Noah_MS-Thesis.lof'. - [10] + [11] \openout2 = `Chapter1.aux'. (./Chapter1.tex @@ -267,11 +272,7 @@ CHAPTER 1. -] - -LaTeX Warning: Reference `CG-alter' on page 2 undefined on input line 27. - -[2] [3]) [4] +] [2] [3]) [4] \openout2 = `Chapter2.aux'. (./Chapter2.tex @@ -286,29 +287,28 @@ CHAPTER 2. (./Chapter3.tex CHAPTER 3. -<./Chapter3_img/PW.png, id=63, 958.58125pt x 525.965pt> +<./Chapter3_img/PW.png, id=66, 958.58125pt x 525.965pt> File: ./Chapter3_img/PW.png Graphic file (type png) Package pdftex.def Info: ./Chapter3_img/PW.png used on input line 17. (pdftex.def) Requested size: 469.75499pt x 257.74918pt. +<./Chapter3_img/CC.png, id=67, 658.46pt x 527.9725pt> +File: ./Chapter3_img/CC.png Graphic file (type png) + +Package pdftex.def Info: ./Chapter3_img/CC.png used on input line 32. +(pdftex.def) Requested size: 469.75499pt x 376.66768pt. 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[48] [49 <./Chapter5_img/dup.drawio.png>] [50 <./Chapter5_img/Dup_DHT.png>] -<./Chapter5_img/DHT_Spd.png, id=246, 421.575pt x 233.235pt> +<./Chapter5_img/DHT_Spd.png, id=250, 421.575pt x 233.235pt> File: ./Chapter5_img/DHT_Spd.png Graphic file (type png) Package pdftex.def Info: ./Chapter5_img/DHT_Spd.png used on input line 255. (pdftex.def) Requested size: 469.75499pt x 259.89395pt. -<./Chapter5_img/DHT_Eff.png, id=247, 422.889pt x 233.235pt> +<./Chapter5_img/DHT_Eff.png, id=251, 422.889pt x 233.235pt> File: ./Chapter5_img/DHT_Eff.png Graphic file (type png) Package pdftex.def Info: ./Chapter5_img/DHT_Eff.png used on input line 256. 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