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+\label{sec:orgb767ab2} +{\textbf{Algorithm:} Distribute a set of queries \(\mathcal{Q}\) across repositories \(\mathcal{R}\) using agents \(A\)} + +\begin{enumerate} +\item \textbf{\textbf{Initialization}} +\begin{itemize} +\item For each repository \(\mathcal{R}_i \in \mathcal{R}\): +\begin{itemize} +\item Initialize result sets: \(\mathcal{R}_i^{\mathcal{Q}} \gets \{\}\). +\end{itemize} +\item Initialize an empty job queue: \(Q \gets \{\}\). +\end{itemize} + +\item \textbf{\textbf{Enqueue Queries}} +\begin{itemize} +\item For each repository \(\mathcal{R}_i \in \mathcal{R}\): +\begin{itemize} +\item Enqueue the entire query suite: \(S \xrightarrow{\text{enqueue}(\mathcal{Q}, \mathcal{R}_i)} Q\). +\end{itemize} +\end{itemize} + +\item \textbf{\textbf{Execution Loop}} +\begin{itemize} +\item While \(Q \neq \emptyset\): (agents poll the queue for available jobs) +\begin{itemize} +\item For each available agent \(\alpha \in A\): +\begin{itemize} +\item Agent autonomously retrieves a job: \(\alpha \xleftarrow{\text{poll}(Q)}\). + +\item \textbf{\textbf{Agent Execution Block}} +\begin{itemize} +\item Initialize result set for this repository: \(\mathcal{R}_i^{\mathcal{Q}} \gets \{\}\). +\item For each query \(\mathcal{Q}_j \in \mathcal{Q}\): +\begin{itemize} +\item Collect results: +\(\mathcal{R}_i^{\mathcal{Q}_j} \gets \{ r_{i,j,1}, r_{i,j,2}, \dots, r_{i,j,k_{i,j}} \}\). +\item Accumulate results: +\(\mathcal{R}_i^{\mathcal{Q}} \gets \mathcal{R}_i^{\mathcal{Q}} \cup \mathcal{R}_i^{\mathcal{Q}_j}\). +\end{itemize} +\item Agent sends all accumulated results back to the server: +\(\alpha \xrightarrow{(\mathcal{Q}, \mathcal{R}_i, \mathcal{R}_i^{\mathcal{Q}})} S\). +\end{itemize} +\end{itemize} +\end{itemize} +\end{itemize} + +\item \textbf{\textbf{Agent Sends Results}} +\begin{itemize} +\item Server sends results for repository \(i\) back to the client: +\(S \xrightarrow{(\mathcal{Q}, \mathcal{R}_i, \mathcal{R}_i^{\mathcal{Q}})} C\). +\end{itemize} +\end{enumerate} \end{document}