Add Conclusion section
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tex/5_con/4_further_research.tex
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\subsection{Further Research}
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\label{further_research}
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Sub-sections \ref{overall_results} and \ref{fams} present the models' average
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performance.
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We did not research what is the best model in a given pixel on a given day.
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To answer this, a study finding an optimal number of outer validation days is
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neccessary.
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With the varying effect of the training horizon, this model selection is a
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two-dimensional grid search that is prone to overfitting due to the high
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noise in low count data.
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Except heuristics relating the ADD to the training horizon, we cannot say
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anything about that based on our study.
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\cite{lemke2010} and \cite{wang2009} show how, for example, a time series'
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characteristics may be used to select models.
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Thus, we suggest conducting more detailed analyses on how to incorporate model
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selection into our proposed forecasting system.
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Future research should also integrate our forecasting system into a predictive
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routing application and evaluate its business impact.
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This embeds our research into the vast literature on the VRP.
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Initially introduced by \cite{dantzig1959}, \gls{vrp}s are concerned with
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finding optimal routes serving customers.
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We refer to \cite{toth2014} for a comprehensive overview.
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The two variants relevant for the UDP case are the dynamic VRP and
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the pickup and delivery problem (\gls{pdp}).
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A VRP is dynamic if the data to solve a problem only becomes available
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as the operations are underway.
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\cite{thomas2010}, \cite{pillac2013}, and \cite{psaraftis2016} describe how
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technological advances, in particular, mobile technologies, have led to a
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renewed interest in research on dynamic VRPs, and
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\cite{berbeglia2010} provide a general overview.
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\cite{ichoua2006} and \cite{ferrucci2013} provide solution methods for
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simulation studies where they assume stochastic customer demand based on
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historical distributions.
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In both studies, dummy demand nodes are inserted into the VRP instance.
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Forecasts by our system extend this idea naturally as dummy nodes could be
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derived from point forecasts as well.
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The concrete case of a meal delivering UDP is contained in a recent
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literature stream started by \cite{ulmer2017} and extended by
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\cite{reyes2018} and \cite{yildiz2018}: They coin the term meal delivery
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routing problem (\gls{mdrp}).
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The MDRP is a special case of the dynamic PDP where the defining
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characteristic is that once a vehicle is scheduled, a modification of the
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route is inadmissible.
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