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\title{Planning to Schedule}

\date{\today}
\author{Garrett A. Pelton}


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\samepage \begin{figure*}[b]
\psfig{figure=figures/format-prodigy-ditops.ps}
 
\label{sys-arch}
\end{figure*}
}

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\samepage \begin{table}\center{
\begin{tabular}{|l|l|}            \hline
\multicolumn{1}{|c}{Type} &  \multicolumn{1}{|c|}{Definition} \\  \hline
Due Date           &  Latest completion time  \\ 
                   &  (absolute-time-constraint) \\  \hline
Ready Date         &  Earliest starting time  \\ 
                   &  (absolute-time-constraint) \\  \hline
Temporal Relation  &  Synchronization of two activities  \\  
                   &  (before, same-start, same-end) \\  \hline
Demand Partitioning &  Limits on how a demand could be \\ 
                   & divided into parts. \\  \hline
Resource Usage     & Specification of a particular \\ 
                   & type of resource.             \\ 
\hline
\end{tabular}

\label{demand-constraints}
}
\end{table}
}

{\newpage
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\samepage \begin{table}\center{
\begin{tabular}{|l|l|l|l|}            \hline
\multicolumn{1}{|c}{Type}& \multicolumn{1}{|c}{Name} & \multicolumn{1}{|c}{Definition} & \multicolumn{1}{|c|}{Example} \\  \hline
Capacity        & Capacity            & Constraint on number of  & Only a limited number        \\ 
                &                     & simultaneous activities supported. & of planes can be   \\ 
                &                     & (Uniform, Heterogeneous, & simultaneously on the ground \\ 
                &                     &  or MultiDimensional)    & loading and unloading.       \\  \hline
Availability    & Unavailable-interval & Time when resource can't & Airport fogged in.          \\ 
                &                      & be utilized.            &                              \\  \cline{2-4}
                & Setup time          & minimum time between 2   & Time to load goods on        \\ 
                &                     & consecutive allocations  & airplane.                    \\ 
                &                     & (constant, state-dependent,&                            \\ 
                &                     & sequence-dependent)       &                             \\  \cline{2-4}
                & Continuous-usage-limit & Max time continuously allocated & Maintenance cycle  \\ 
                &                        & before unavailable-interval     & on an airplane.    \\  \cline{2-4}
                & Cumulative-usage-limit & Max time continuously allocated & Plane crew can't fly \\ 
                &                        & in a set time                   & more than n hours/month. \\  \hline
Mobility        & Travel speed        & Ordered Pair of                  & How fast an airplane \\ 
                &                     &(Distance traveled, time interval)& can reach a location \\  \cline{2-4}
                & Travel distance     & Maximum non-stop trip            & Max. non-stop flight distance \\  \hline
Compatibility   & Resource-location   & Only certain locations are       & Large airplanes need airports\\ 
                &                     & appropriate for some resources   & with long runways.       \\  \cline{2-4}
                & Resource-material   & Only certain resources are       & Tanker ships should  \\  
                &                     & appropriate for some demands     & carry bulk oil.      \\  \cline{2-4}
                & Joint-Resource      & Utilization of a resource may    & Plane crews must be  \\ 
                &                     & constrain other resource choices. & trained on that plane. \\  \cline{2-4}
                & Batching            & Batching multiple demands in     & All cargo on a ship   \\ 
                &                     & a resource may not be possible.  & must have same POE \& POD \\ 
\hline
\end{tabular}

\label{resource-constraints}
}
\end{table}
}

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