deploy.tex

\begin{frame}
    \frametitle{\deploy Objectives}
    \textbf{\deploy's Main Objective}
    \vspace{0.3em}
    \\
    Minimize the number of time steps of undersupply or under capacity 
    of power.
    \vspace{1em}
    \\
    \textbf{\deploy's Sub-Objectives}
    \begin{itemize}
        \item Minimize the number of time steps of undersupply or under capacity 
        of any commodity.
        \item Minimize excessive oversupply of all commodities  
    \end{itemize} 
\end{frame}

\begin{frame}
    \frametitle{\deploy Input Parameters}
    \begin{table}[]
        \centering
        \caption{\deploy's required and optional input parameters with examples.}
		\label{tab:inputs}
            \footnotesize
			\begin{tabularx}{\textwidth}{l|LL}
			\hline
				& \textbf{Input Parameter}                                                           & \textbf{Examples}                                                                                                          \\ \hline
				\multirow{5}{*}{\textbf{Required}} & Demand driving commodity                                                           & Power, Fuel, Plutonium, etc.                                                                                                                      \\ 
														  & Demand equation                                                                    & P(t) = 10000, sin(t), 10000*t                                                                                                                 \\ \cline{2-3} 
														  & Facilities it controls                                                             & Fuel Fab, LWR reactor, SFR reactor, Waste repository, etc.                                                                                                      \\ \cline{2-3} 
														  & Capacities of the facilities                                                       & 3000 kg, 1000 MW, 50000 kg                                                                                                     \\ \cline{2-3} 
														  & Prediction method                                                                  & \begin{tabular}[c]{@{}l@{}}Power: fast fourier transform\\ Fuel: moving average\\ Spent fuel: moving average\end{tabular} \\ \cline{2-3} 
														  & Deployment driven by & Installed Capacity/Supply                                                                                                                    \\ \hline
				\multirow{4}{*}{\textbf{Optional}} & Supply/Capacity Buffer type                                                                        & Absolute                                                                                                                  \\ \cline{2-3} 
														  & Supply/Capacity Buffer size                                                                        & \begin{tabular}[c]{@{}l@{}}Power: 3000 MW\\ Fuel: 0 kg \\ Spent fuel: 0 kg\end{tabular}                                   \\ \cline{2-3} 
														  & Facility preferences                                                               & \begin{tabular}[c]{@{}l@{}}LWR reactor = 100-t\\ SFR reactor = t-100 \end{tabular}          \\ \cline{2-3} 
														  & Facility constraint                                                              & SFR reactor constraint = 5000kg of Pu            \\ \hline	
						\end{tabularx}
    \end{table}
\end{frame}

\begin{frame}
    \frametitle{\deploy logic flow}
    \begin{columns}
        \column[t]{8cm}
    \begin{figure}[]
        \centering
        \resizebox{0.8\textwidth} {0.5\height}{
        \begin{tikzpicture}[node distance=2cm]
        \tikzstyle{every node}=[font=\large]
        \node (Start) [bblock] {\textbf{Start of timestep ($t$).}};
        \node (Predict) [bblock, below of=Start] {\textbf{Calculate \\ $D_p(t+1)$ and $S_p(t+1)$ for a commodity}};
        \node (IsThere) [oblock, below of=Predict]{\textbf{$U(t+1) = S_p(t+1)-D_p(t+1)$}};
        \node (Deploy) [bblock, below of=IsThere, xshift = -3.5cm]{\textbf{Deployment of facility}};
        \node (NoDeploy) [bblock, right of=Deploy, xshift = 3.5cm]{\textbf{No Deployment} };
        \node (All) [oblock, below of=Deploy, xshift = 3.5cm] {\textbf{Is this done for all commodities?}};
        \node (End) [bblock, below of=All] {\textbf{Proceed to next timestep.}};
        
        \draw [arrow] (Start) -- (Predict); 
        \draw [arrow] (Predict) -- (IsThere);
        \draw [arrow] (IsThere) -- node[anchor=east] {$U(t+1) <$ buffer} (Deploy);
        \draw [arrow] (IsThere) -- node[anchor=west] {$U(t+1) \geq$ buffer} (NoDeploy);
        \draw [arrow] (Deploy) -- (All);
        \draw [arrow] (NoDeploy) -- (All);
        \draw [arrow] (All) -- node[anchor=west] {yes} (End);
        \draw [arrow] (All) -- ([shift={(-3.9cm,0.7cm)}]All.south west)-- node[anchor=east] {no} ([shift={(-3.9cm,-0.7cm)}]Predict.north west)--(Predict);
        \draw [arrow] (End) |-([shift={(3cm,-0.5cm)}]End.south east)-- ([shift={(3cm,0.5cm)}]Start.north east)-|(Start);
        \end{tikzpicture}
        }
        \caption{\deploy logic flow at every timestep in \Cyclus \cite{chee_demonstration_2019}.}
        \label{fig:flow}
    \end{figure}
    \column[t]{5cm}
    \vspace{2cm}
    \\
    $D_p : Predicted Demand$ \\
    $S_p : Predicted Supply$ \\
    $U = S_p-D_p$
\end{columns}
\end{frame}

\begin{frame}
    \frametitle{\deploy Prediction Methods}
    Non-Optimizing Methods 
    \begin{itemize}
        \item Moving Average (\texttt{ma})
        \item Autoregressive Moving Average (\texttt{arma})
        \item Autoregressive Heteroskedasticity (\texttt{arch})
    \end{itemize}
    Deterministic-Optimizing Methods 
    \begin{itemize}
        \item Fast Fourier Transform (\texttt{fft})
        \item Polynomial Fit (\texttt{poly})
        \item Exponential Smoothing
        \item Triple Exponential Smoothing (\texttt{holt-winters})
    \end{itemize}
    Stochastic-Optimizing Methods 
    \begin{itemize}
        \item Auto-Regressive Integrated Moving Averages (\texttt{ARIMA})
    \end{itemize}
\end{frame}