Objective language changes; New subsection: 5.4.5 Subgraphing Result Analysis
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59
Chapter5.tex
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@ -103,7 +103,7 @@ To ensure that the intended message is received by each node, the MPI message en
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\begin{table}[]
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\centering
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\begin{tabular}{|l|l|}
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\begin{tabular}{|c|c|}
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\hline
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\textbf{Tag} & \textbf{Description} \\ \hline
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2 & Task 2 Finalize Signal \\ \hline
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@ -215,7 +215,7 @@ Similar to Section \ref{sec:tasking-tag} that discussed the usage of MPI Tags fo
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\begin{table}[]
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\centering
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\begin{tabular}{|l|l|}
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\begin{tabular}{|c|c|}
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\hline
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\textbf{Tag} & \textbf{Description} \\ \hline
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1 & New State from Root to Workers \\ \hline
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@ -298,4 +298,57 @@ To minimize the duplicate work performed, a second approach using a distributed
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\label{fig:subg_DHT_base}
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\end{figure}
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Implementing the DHT did prevent duplicate work, but the communication cost from repeated DHT queries by each worker node was far greater than the serial approach, and was also greater than the first approach for MPI Subgraphing without the DHT. As a result, the MPI Subgraphing approach is not viable as it stands. Future improvements or entire reworking will need to be performed, and this is discussed further in Section \ref{sec:FW}.
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\TUsubsection{Subgraphing Result Analysis} \label{sec:Subg_Discuss}
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Implementing the DHT did prevent duplicate work, but the communication cost from repeated DHT queries by each worker node was far greater than the serial approach, and was also greater than the first approach for MPI Subgraphing without the DHT. Table \ref{table:1_serv_comm} displays the communication cost incurred when using the DHT in the MPI Subgraphing approach with the 1 Service test. Likewise, Table \ref{table:4_serv_comm} displays the communication cost with the 4 Service test. The minimum, maximum, and average MPI communication time in relation to the entire program is high in all cases, and causes a large increase in the overall runtime.
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\begin{table}[]
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\centering
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\begin{tabular}{|c|c|c|c|c|}
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\hline
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\multicolumn{5}{|c|}{\textbf{1 Service Test, Synchronous Firing Enabled}} \\ \hline
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\multicolumn{1}{|c|}{\# Compute Nodes} & \multicolumn{1}{|c|}{Min \%MPI Time} & \multicolumn{1}{|c|}{Max \%MPI Time} & \multicolumn{1}{|c|}{Avg \%MPI Time} & \multicolumn{1}{|c|}{Std Dev} \\ \hline
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\multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{78.23} & \multicolumn{1}{|c|}{84.68} & \multicolumn{1}{|c|}{81.46} & \multicolumn{1}{|c|}{4.56} \\ \hline
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\multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{78.54} & \multicolumn{1}{|c|}{99.64} & \multicolumn{1}{|c|}{87.92} & \multicolumn{1}{|c|}{10.74} \\ \hline
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\multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{80.13} & \multicolumn{1}{|c|}{99.12} & \multicolumn{1}{|c|}{90.04} & \multicolumn{1}{|c|}{9.27} \\ \hline
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\multicolumn{1}{|c|}{5} & \multicolumn{1}{|c|}{86.07} & \multicolumn{1}{|c|}{99.66} & \multicolumn{1}{|c|}{92.72} & \multicolumn{1}{|c|}{6.68} \\ \hline
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\multicolumn{1}{|c|}{6} & \multicolumn{1}{|c|}{82.94} & \multicolumn{1}{|c|}{98.9} & \multicolumn{1}{|c|}{92.72} & \multicolumn{1}{|c|}{6.92} \\ \hline
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\multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{82.81} & \multicolumn{1}{|c|}{99.17} & \multicolumn{1}{|c|}{92.85} & \multicolumn{1}{|c|}{5.83} \\ \hline
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\multicolumn{1}{|c|}{8} & \multicolumn{1}{|c|}{83.58} & \multicolumn{1}{|c|}{99.35} & \multicolumn{1}{|c|}{94.19} & \multicolumn{1}{|c|}{5.91} \\ \hline
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\multicolumn{1}{|c|}{9} & \multicolumn{1}{|c|}{82.92} & \multicolumn{1}{|c|}{99.58} & \multicolumn{1}{|c|}{94.85} & \multicolumn{1}{|c|}{6.76} \\ \hline
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\multicolumn{1}{|c|}{10} & \multicolumn{1}{|c|}{84.02} & \multicolumn{1}{|c|}{98.98} & \multicolumn{1}{|c|}{95.10} & \multicolumn{1}{|c|}{5.19} \\ \hline
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\multicolumn{1}{|c|}{11} & \multicolumn{1}{|c|}{84.41} & \multicolumn{1}{|c|}{99.25} & \multicolumn{1}{|c|}{95.55} & \multicolumn{1}{|c|}{5.06} \\ \hline
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\multicolumn{1}{|c|}{12} & \multicolumn{1}{|c|}{84.82} & \multicolumn{1}{|c|}{99.68} & \multicolumn{1}{|c|}{96.49} & \multicolumn{1}{|c|}{4.83} \\ \hline
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\end{tabular}
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\caption{MPI Communication Time Percentage in Relation to the Overall Program Runtime for the 1 Service Test}
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\label{table:1_serv_comm}
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\end{table}
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\begin{table}[]
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\centering
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\begin{tabular}{|c|c|c|c|c|}
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\hline
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\multicolumn{5}{|c|}{\textbf{4 Service Test, Synchronous Firing Enabled}} \\ \hline
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\multicolumn{1}{|c|}{\# Compute Nodes} & \multicolumn{1}{|c|}{Min \%MPI Time} & \multicolumn{1}{|c|}{Max \%MPI Time} & \multicolumn{1}{|c|}{Avg \%MPI Time} & Std Dev \\ \hline
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\multicolumn{1}{|c|}{2} & \multicolumn{1}{|c|}{89.13} & \multicolumn{1}{|c|}{91.53} & \multicolumn{1}{|c|}{90.33} & 1.70 \\ \hline
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\multicolumn{1}{|c|}{3} & \multicolumn{1}{|c|}{89.18} & \multicolumn{1}{|c|}{99.99} & \multicolumn{1}{|c|}{93.60} & 5.67 \\ \hline
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\multicolumn{1}{|c|}{4} & \multicolumn{1}{|c|}{90.41} & \multicolumn{1}{|c|}{99.99} & \multicolumn{1}{|c|}{94.44} & 4.53 \\ \hline
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\multicolumn{1}{|c|}{5} & \multicolumn{1}{|c|}{91.4} & \multicolumn{1}{|c|}{99.98} & \multicolumn{1}{|c|}{95.44} & 3.36 \\ \hline
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\multicolumn{1}{|c|}{6} & \multicolumn{1}{|c|}{89.01} & \multicolumn{1}{|c|}{99.97} & \multicolumn{1}{|c|}{94.11} & 3.59 \\ \hline
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\multicolumn{1}{|c|}{7} & \multicolumn{1}{|c|}{91.41} & \multicolumn{1}{|c|}{99.99} & \multicolumn{1}{|c|}{96.58} & 2.63 \\ \hline
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\multicolumn{1}{|c|}{8} & \multicolumn{1}{|c|}{89.57} & \multicolumn{1}{|c|}{99.98} & \multicolumn{1}{|c|}{96.06} & 3.08 \\ \hline
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\multicolumn{1}{|c|}{9} & \multicolumn{1}{|c|}{90.94} & \multicolumn{1}{|c|}{99.98} & \multicolumn{1}{|c|}{96.77} & 2.83 \\ \hline
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\multicolumn{1}{|c|}{10} & \multicolumn{1}{|c|}{89.2} & \multicolumn{1}{|c|}{99.97} & \multicolumn{1}{|c|}{96.02} & 3.29 \\ \hline
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\multicolumn{1}{|c|}{11} & \multicolumn{1}{|c|}{89.1} & \multicolumn{1}{|c|}{99.97} & \multicolumn{1}{|c|}{96.46} & 3.25 \\ \hline
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\multicolumn{1}{|c|}{12} & \multicolumn{1}{|c|}{89.3} & \multicolumn{1}{|c|}{99.97} & \multicolumn{1}{|c|}{96.89} & 2.83 \\ \hline
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\end{tabular}
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\caption{MPI Communication Time Percentage in Relation to the Overall Program Runtime for the 4 Service Test}
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\label{table:4_serv_comm}
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\end{table}
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When a DHT is not used, Figure \ref{fig:subg_dup} displays the amount of duplicate work that is performed. Section \ref{sec:Subgraphing-Results} discusses these results, and also describes that 35{\%} of the total program runtime is comprised entirely from worker nodes waiting for the root node to finish cleaning the duplicate work.
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However, despite the results from both of these subgraphing approaches, the subgraphing approach can be improved through several means. This work took a first step, na\"ive approach when not using a DHT. Other than using markers to denote node local frontiers in the root frontier, no sophisticated metric is used for distributing starting states to compute nodes. The approach used is to simply pop a state from the queue and send it to a compute node. This work also discussed that if no marker was available for a compute node, a random state would be distributed instead. A better, more sophisticated metric would likely result in increased performance. The usage of the DHT can also likely be improved. When discovering new states, a compute node would check the DHT to see if the state had already been discovered. Since this query is performed on all new state discoveries, there is a large increase in overall runtime due to the communication cost. Better usage of the DHT can likely be implemented.
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Other solutions can be implemented to minimize the duplicate work performed by MPI compute nodes. As discussed in Section \ref{sec:related_works}, the authors of \cite{7087377} presented a different approach for a distributed algorithm, but they made use of a virtual shared memory abstraction. A similar approach can be attempted for this subgraphing implementation.
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Though the subgraphing approach presented by this work did not lead to a speedup in attack and compliance graph generation, it is believed that further tuning, better work distribution metrics, and/or better communication tactics can lead to increased performance. This work has laid the initial foundation for a data parallelism approach for an MPI implementation for attack and compliance graph generation, and future works and improvements can lead to promising results.
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Output written on Schrick-Noah_MS-Thesis.pdf (75 pages, 2642634 bytes).
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PDF statistics:
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344 PDF objects out of 1000 (max. 8388607)
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192 compressed objects within 2 object streams
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347 PDF objects out of 1000 (max. 8388607)
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194 compressed objects within 2 object streams
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@ -3,3 +3,5 @@
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\contentsline {table}{\numberline {4.2}{\ignorespaces Tabled Results for the Synchronous Firing Testing\relax }}{28}{}%
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\contentsline {table}{\numberline {5.1}{\ignorespaces MPI Tags for the MPI Tasking Approach\relax }}{39}{}%
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\contentsline {table}{\numberline {5.2}{\ignorespaces MPI Tags for the MPI Subgraphing Approach\relax }}{47}{}%
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\contentsline {table}{\numberline {5.3}{\ignorespaces MPI Communication Time Percentage in Relation to the Overall Program Runtime for the 1 Service Test\relax }}{53}{}%
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\contentsline {table}{\numberline {5.4}{\ignorespaces MPI Communication Time Percentage in Relation to the Overall Program Runtime for the 4 Service Test\relax }}{55}{}%
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@ -155,7 +155,7 @@
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\fifthmember{} % as needed
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\sixthmember{} % as needed
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\numofpages{74} % number of pages in the document
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\numofpages{75} % number of pages in the document
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\numofchapters=6 % number of chapters in the document
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\lastchapter{Conclusions and Future Works} % the title of the last numbered chapter
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\numofabstractwords{196} % number of words in the abstract
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@ -67,11 +67,12 @@
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\contentsline {subsubsection}{\numberline {5.4.2.4}MPI Tags}{46}{}%
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\contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations and Use Cases}{46}{}%
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\contentsline {subsection}{\numberline {5.4.4}\it Results}{47}{}%
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\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{56}{}%
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\contentsline {section}{\numberline {6.1}\bf Conclusions}{56}{}%
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\contentsline {section}{\numberline {6.2}\bf Future Work}{57}{}%
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\contentsline {subsection}{\numberline {5.4.5}\it Subgraphing Result Analysis}{53}{}%
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\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{57}{}%
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\contentsline {section}{\numberline {6.1}\bf Conclusions}{57}{}%
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\contentsline {section}{\numberline {6.2}\bf Future Work}{58}{}%
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{\hfill \ }
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\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{60}{}%
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\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{61}{}%
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\addvspace {10pt}
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\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{60}{}%
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\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{61}{}%
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{\hfill \ }
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BIN
mpiP_timing.ods
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BIN
mpiP_timing.ods
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