\subsubsection{Vertical and Real-time Forecasts with Retraining} \label{rt} The lower-left in Figure \ref{f:inputs} shows how models trained on vertical time series are extended with real-time order data as it becomes available during a test day: Instead of obtaining an $H$-step-ahead forecast, we retrain a model after every time step and only predict one step. The remainder is as in the previous sub-section, and the models are: \begin{enumerate} \item \textit{\gls{rtholt}}, \textit{\gls{rtses}}, and \textit{\gls{rttheta}}: Exponential smoothing without calibration and seasonal fit \item \textit{\gls{rtets}}: ETS calibrated as described by \cite{hyndman2008b} \item \textit{\gls{rtarima}}: ARIMA calibrated as described by \cite{hyndman2008a} \end{enumerate} Retraining \textit{fnaive} and \textit{pnaive} did not increase accuracy, and thus we left them out. A downside of this family is the significant increase in computing costs.