237 lines
9.1 KiB
TeX
237 lines
9.1 KiB
TeX
\documentclass[11pt]{article}
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% Set TT font
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% Define custom settings for listings
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language=Python,
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listname=List of Listings,
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name=Listing
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]{listing}
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% To prevent floats from moving past a section boundary but still allow some floating:
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% used with \FloatBarrier
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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% Title, Author, and Date (or Report Number)
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\title{MRVA component interconnections}
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\author{Michael Hohn}
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\date{Technical Report 20250524}
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\hypersetup{
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pdfauthor={Michael Hohn},
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pdftitle={MRVA component interconnections},
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pdfkeywords={},
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pdfsubject={},
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pdfcreator={Emacs 29.1},
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pdflang={English}}
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\begin{document}
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\maketitle
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\tableofcontents
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\section{Overview}
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\label{sec:overview}
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The MRVA system is organized as a collection of services. On the server side, the
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system is containerized using Docker and comprises several key components:
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\begin{itemize}
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\item {\textbf{Server}}: Acts as the central coordinator.
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\item \textbf{Agents}: One or more agents that execute tasks.
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\item \textbf{RabbitMQ}: Handles messaging between components.
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\item \textbf{MinIO}: Provides storage for both queries and results.
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\item \textbf{HEPC}: An HTTP endpoint that hosts and serves CodeQL databases.
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\end{itemize}
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The execution process follows a structured workflow:
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\begin{enumerate}
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\item A client submits a set of queries $\mathcal{Q}$ targeting a repository
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set $\mathcal{R}$.
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\item The server enqueues jobs and distributes them to available agents.
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\item Each agent retrieves a job, executes queries against its assigned repository, and accumulates results.
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\item The agent sends results back to the server, which then forwards them to the client.
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\end{enumerate}
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This full round-trip can be expressed as:
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\begin{equation}
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\text{Client} \xrightarrow{\mathcal{Q}} \text{Server}
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\xrightarrow{\text{enqueue}}
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\text{Queue} \xrightarrow{\text{dispatch}} \text{Agent}
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\xrightarrow{\mathcal{Q}(\mathcal{R}_i)}
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\text{Server} \xrightarrow{\mathcal{Q}(\mathcal{R}_i} \text{Client}
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\end{equation}
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\section{Symbols and Notation}
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\label{sec:orgb695d5a}
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We define the following symbols for entities in the system:
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\begin{center}
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\begin{tabular}{lll}
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Concept & Symbol & Description \\[0pt]
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\hline
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Client & \(C\) & The source of the query submission \\[0pt]
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Server & \(S\) & Manages job queue and communicates results back to the client \\[0pt]
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Job Queue & \(Q\) & Queue for managing submitted jobs \\[0pt]
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Agent & \(\alpha\) & Independently polls, executes jobs, and accumulates results \\[0pt]
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Agent Set & \(A\) & The set of all available agents \\[0pt]
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Query Suite & \(\mathcal{Q}\) & Collection of queries submitted by the client \\[0pt]
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Repository List & \(\mathcal{R}\) & Collection of repositories \\[0pt]
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\(i\)-th Repository & \(\mathcal{R}_i\) & Specific repository indexed by \(i\) \\[0pt]
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\(j\)-th Query & \(\mathcal{Q}_j\) & Specific query from the suite indexed by \(j\) \\[0pt]
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Query Result & \(r_{i,j,k_{i,j}}\) & \(k_{i,j}\)-th result from query \(j\) executed on repository \(i\) \\[0pt]
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Query Result Set & \(\mathcal{R}_i^{\mathcal{Q}_j}\) & Set of all results for query \(j\) on repository \(i\) \\[0pt]
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Accumulated Results & \(\mathcal{R}_i^{\mathcal{Q}}\) & All results from executing all queries on \(\mathcal{R}_i\) \\[0pt]
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\end{tabular}
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\end{center}
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\section{Full Round-Trip Representation}
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\label{sec:full-round-trip}
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The full round-trip execution, from query submission to result delivery, can be summarized as:
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\[
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C \xrightarrow{\mathcal{Q}} S \xrightarrow{\text{enqueue}} Q
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\xrightarrow{\text{poll}}
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\alpha \xrightarrow{\mathcal{Q}(\mathcal{R}_i)} S \xrightarrow{\mathcal{R}_i^{\mathcal{Q}}} C
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\]
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\begin{itemize}
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\item \(C \to S\): Client submits a query suite \(\mathcal{Q}\) to the server.
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\item \(S \to Q\): Server enqueues the query suite \((\mathcal{Q}, \mathcal{R}_i)\) for each repository.
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\item \(Q \to \alpha\): Agent \(\alpha\) polls the queue and retrieves a job.
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\item \(\alpha \to S\): Agent executes the queries and returns the accumulated results \(\mathcal{R}_i^{\mathcal{Q}}\) to the server.
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\item \(S \to C\): Server sends the complete result set \(\mathcal{R}_i^{\mathcal{Q}}\) for each repository back to the client.
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\end{itemize}
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\section{Result Representation}
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For the complete collection of results across all repositories and queries:
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\[
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\mathcal{R}^{\mathcal{Q}} = \bigcup_{i=1}^{N} \bigcup_{j=1}^{M}
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\left\{ r_{i,j,1}, r_{i,j,2}, \dots, r_{i,j,k_{i,j}} \right\}
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\]
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where:
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\begin{itemize}
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\item \(N\) is the total number of repositories.
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\item \(M\) is the total number of queries in \(\mathcal{Q}\).
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\item \(k_{i,j}\) is the number of results from executing query
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\(\mathcal{Q}_j\)
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on repository \(\mathcal{R}_i\).
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\end{itemize}
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An individual result from the \(i\)-th repository, \(j\)-th query, and \(k\)-th result is:
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\[
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r_{i,j,k}
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\]
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\[
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C \xrightarrow{\mathcal{Q}} S \xrightarrow{\text{enqueue}} Q \xrightarrow{\text{dispatch}} \alpha \xrightarrow{\mathcal{Q}(\mathcal{R}_i)} S \xrightarrow{r_{i,j}} C
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\]
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Each result can be further indexed to track multiple repositories and result sets.
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\end{document}
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%%% Local Variables:
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%%% mode: LaTeX
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%%% TeX-master: nil
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%%% TeX-engine: luatex
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%%% TeX-command-extra-options: "-synctex=1 -shell-escape -interaction=nonstopmode"
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%%% End:
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