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Schrick-Noah_MS-Thesis.tex
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\usepackage{subcaption}
\usepackage{algorithm}
\usepackage[noend]{algpseudocode}
\setlength\intextsep{20mm}
\setlength\textfloatsep{20mm}
\usepackage[hidelinks]{hyperref}
\hypersetup{
colorlinks,
citecolor=black,
filecolor=black,
linkcolor=black,
urlcolor=black
}
% Added by Richard D Redner 2017-08-16
% If, in the List of Tables or List of Figures, the figure/table numbers
@ -103,6 +113,7 @@
\cftsetindents{figure}{0em}{3.5em}
\cftsetindents{table}{0em}{3.5em}
% Modified by Richard D. Redner on February 1, 2016.
% Uncomment \pdffalse if your are using plain LaTeX.
\usepackage{ifpdf} %\pdffalse
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\fifthmember{} % as needed
\sixthmember{} % as needed
\numofpages{75} % number of pages in the document
\numofpages{76} % number of pages in the document
\numofchapters=6 % number of chapters in the document
\lastchapter{Conclusions and Future Works} % the title of the last numbered chapter
\numofabstractwords{196} % number of words in the abstract
\numofabstractwords{203} % number of words in the abstract
%
% If this is a thesis use \thesistrue
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%
% Place the text of the abstract here
%
Attack graphs have historically been used to represent the state of a system or set of systems, and illustrate ways that attackers can carry out exploits to put the systems in a critical position. By refining the information and format of attack graphs, a similar process can be applied for compliance and regulation representations to illustrate ways that systems may violate or fall out of compliance in a format called compliance graphs. Like attack graphs, compliance graphs also suffer from the state space explosion problem, and generated graphs quickly become very large even for small networks. This work introduces extensions to an attack graph generator, RAGE attack graph engine (RAGE), to support compliance graph generation, and these extensions have led to successfully generating compliance graphs that can then be analyzed through an independent process. Additional extensions have been introduced to support the utility of RAGE, and this includes the implementation of a synchronous firing feature to prevent generation of states where assets deviate from a shared, inseparable feature such as time. The compliance graph generation algorithm has also been modified by two different approaches to expand the generation process to function for distributed computing environments using Message Passing Interface (MPI).
Attack graphs have historically been used to represent the state of a system or set of systems, and illustrate ways that attackers can carry out exploits to put the systems in a critical position. By refining the information and format of attack graphs, a similar process can be applied for compliance and regulation representations to illustrate ways that systems may violate or fall out of compliance. These representations are in formats known as compliance graphs. Like attack graphs, compliance graphs also suffer from the state space explosion problem, and generated graphs quickly become very large even for small networks. This work introduces extensions to an attack graph generator, RAGE attack graph engine (RAGE), to support compliance graph generation, and these extensions have led to successfully generating compliance graphs that can then be analyzed through an independent process. Additional extensions have been introduced to support the utility of RAGE, and this includes the implementation of a synchronous firing feature to prevent generation of states where assets deviate from a shared, inseparable feature such as time. The compliance graph generation algorithm has also been modified by two different approaches to expand the generation process to function for distributed computing environments using Message Passing Interface (MPI).
\acknowledgementsp
%
% Place the text of your acknowledgements page here
%
I would like to acknowledge and give my sincerest gratitude to my wife for all of her continued support and patience through this process. I would also like to extend this appreciation to all my family and friends, who have provided constant encouragement and motivation during my work.
I would also like to greatly thank my advisor, Dr. Hawrylak, for his guidance, support, and motivation during my time through this program. He has served as a remarkably vital role not only through this thesis, but also for the advice and encouragement offered throughout my graduate career. Further thanks to the members of my committee, Dr. Papa and Dr. Hale, who have also provided their expertise and support throughout this journey.
I would like to greatly thank my advisor, Dr. Hawrylak, for his guidance, support, and motivation during my time through this program. He has served as a remarkably vital role not only through this thesis, but also for the advice and encouragement offered throughout my graduate career. Further thanks to the members of my committee, Dr. Papa and Dr. Hale, who have also provided their expertise and support throughout this journey.
I would like to acknowledge and give my sincerest gratitude to my wife for all of her continued support and patience through this process. I would also like to extend this appreciation to all my family and friends, who have provided constant encouragement and motivation during my work.
\afteracknowledgementsp

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\contentsline {section}{\hspace {-\parindent }ABSTRACT}{iv}{}%
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{\hfill \ }
\contentsline {section}{\hspace {-\parindent }ACKNOWLEDGEMENTS}{v}{}%
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{\hfill \ }
\contentsline {section}{\hspace {-\parindent }TABLE OF CONTENTS}{viii}{}%
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{\hfill \ }
\contentsline {section}{\hspace {-\parindent }LIST OF TABLES}{ix}{}%
\contentsline {section}{\hspace {-\parindent }LIST OF TABLES}{ix}{Doc-Start}%
{\hfill \ }
\contentsline {section}{\hspace {-\parindent }LIST OF FIGURES}{xi}{}%
\contentsline {chapter}{\numberline {CHAPTER 1: }{\bf \uppercase {INTRODUCTION}}}{1}{}%
\contentsline {section}{\numberline {1.1}\bf Introduction to Attack Graphs}{1}{}%
\contentsline {section}{\numberline {1.2}\bf Application to Compliance}{2}{}%
\contentsline {subsection}{\numberline {1.2.1}\it Introduction to Compliance Graphs}{2}{}%
\contentsline {subsection}{\numberline {1.2.2}\it Defining Compliance Graphs}{3}{}%
\contentsline {subsection}{\numberline {1.2.3}\it Difficulties of Compliance Graphs}{3}{}%
\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{4}{}%
\contentsline {chapter}{\numberline {CHAPTER 2: }{\bf \uppercase {RELATED WORKS}}}{5}{}%
\contentsline {section}{\numberline {2.1}\bf Introduction to Graph Generation}{5}{}%
\contentsline {section}{\numberline {2.2}\bf Graph Generation Improvements}{5}{}%
\contentsline {section}{\numberline {2.3}\bf Improvements Specific to Attack Graph Generation}{6}{}%
\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{8}{}%
\contentsline {section}{\numberline {3.1}\bf Path Walking}{8}{}%
\contentsline {section}{\numberline {3.2}\bf Color Coding}{9}{}%
\contentsline {section}{\numberline {3.3}\bf Compound Operators}{10}{}%
\contentsline {section}{\numberline {3.4}\bf Relational Operators}{12}{}%
\contentsline {section}{\numberline {3.5}\bf Intermediate Database Storage}{13}{}%
\contentsline {subsection}{\numberline {3.5.1}\it Introduction to Intermediate Database Storage}{13}{}%
\contentsline {subsection}{\numberline {3.5.2}\it Memory Constraint Difficulties}{13}{}%
\contentsline {subsection}{\numberline {3.5.3}\it Maximizing Performance with Intermediate Database Storage}{15}{}%
\contentsline {subsection}{\numberline {3.5.4}\it Portability}{16}{}%
\contentsline {chapter}{\numberline {CHAPTER 4: }{\bf \uppercase {SYNCHRONOUS FIRING}}}{18}{}%
\contentsline {section}{\numberline {4.1}\bf Introduction}{18}{}%
\contentsline {subsection}{\numberline {4.1.1}\it Related Synchronous Firing Work}{19}{}%
\contentsline {section}{\numberline {4.2}\bf Necessary Alterations and Additions}{20}{}%
\contentsline {subsection}{\numberline {4.2.1}\it GNU Bison and Flex}{20}{}%
\contentsline {subsection}{\numberline {4.2.2}\it PostgreSQL}{21}{}%
\contentsline {subsection}{\numberline {4.2.3}\it Compound Operators}{22}{}%
\contentsline {subsection}{\numberline {4.2.4}\it Graph Generation}{22}{}%
\contentsline {section}{\numberline {4.3}\bf Experimental Networks and Results}{23}{}%
\contentsline {subsection}{\numberline {4.3.1}\it Experimental Networks}{23}{}%
\contentsline {subsection}{\numberline {4.3.2}\it Results}{25}{}%
\contentsline {chapter}{\numberline {CHAPTER 5: }{\bf \uppercase {Parallelization Using MESSAGE PASSING INTERFACE}}}{29}{}%
\contentsline {section}{\numberline {5.1}\bf Introduction to MPI Utilization for Attack and Compliance Graph Generation}{29}{}%
\contentsline {section}{\numberline {5.2}\bf Necessary Components}{29}{}%
\contentsline {subsection}{\numberline {5.2.1}\it Serialization}{29}{}%
\contentsline {section}{\numberline {5.3}\bf Tasking Approach}{30}{}%
\contentsline {subsection}{\numberline {5.3.1}\it Introduction to the Tasking Approach}{30}{}%
\contentsline {subsection}{\numberline {5.3.2}\it Algorithm Design}{32}{}%
\contentsline {subsubsection}{\numberline {5.3.2.1}Communication Structure}{34}{}%
\contentsline {subsubsection}{\numberline {5.3.2.2}Task 0}{34}{}%
\contentsline {subsubsection}{\numberline {5.3.2.3}Task 1}{34}{}%
\contentsline {subsubsection}{\numberline {5.3.2.4}Task 2}{35}{}%
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\contentsline {subsubsection}{\numberline {5.3.2.6}Task 4 and Task 5}{37}{}%
\contentsline {subsubsection}{\numberline {5.3.2.7}MPI Tags}{38}{}%
\contentsline {subsection}{\numberline {5.3.3}\it Performance Expectations and Use Cases}{38}{}%
\contentsline {subsection}{\numberline {5.3.4}\it Results}{39}{}%
\contentsline {section}{\numberline {5.4}\bf Subgraphing Approach}{43}{}%
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\contentsline {subsection}{\numberline {5.4.2}\it Algorithm Design}{43}{}%
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\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations and Use Cases}{46}{}%
\contentsline {subsection}{\numberline {5.4.4}\it Results}{47}{}%
\contentsline {subsection}{\numberline {5.4.5}\it Subgraphing Result Analysis}{53}{}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{57}{}%
\contentsline {section}{\numberline {6.1}\bf Conclusions}{57}{}%
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\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{4}{section.1.3}%
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\contentsline {section}{\numberline {4.3}\bf Experimental Networks and Results}{23}{section.4.3}%
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\contentsline {subsection}{\numberline {5.4.5}\it Subgraphing Result Analysis}{54}{subsection.5.4.5}%
\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{58}{chapter.6}%
\contentsline {section}{\numberline {6.1}\bf Conclusions}{58}{section.6.1}%
\contentsline {section}{\numberline {6.2}\bf Future Work}{59}{section.6.2}%
{\hfill \ }
\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{61}{}%
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{\hfill \ }

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