tex: list variables

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Paul ALNET 2023-06-04 10:42:04 +02:00
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@ -114,15 +114,31 @@ we store each item in the next bin if it fits, otherwise we open a new bin.
will be of random sizes between $ 0 $ and $ 1 $. We will run X simulations % TODO
with 10 packets.
\subsubsection{Variables used in models}
\subsection{Variables used in models}
We use the following variables in our algorithms and models :
\begin{itemize}
\item $ U_n $ : the size of the $ n $-th item. $ (U_n)_{n \in \mathbb{N}} $
denotes the mathematical sequence of random variables of uniform
distribution on $ [0, 1] $ representing the items' sizes.
\item $ T_i $ : the number of items in the $ i $-th bin.
\item $ V_i $ : the size of the first item in the $ i $-th bin.
\item $ H_n $ : the number of bins required to store $ n $ items.
\end{itemize}
\cite{hofri:1987}
% TODO mettre de l'Histoire
\section{Next Fit Dual Bin Packing algorithm}
The variables used are the same as for NFBP.
\subsection{La giga demo}
Let $ k \in \mathbb{N} $. Let $ (U_n)_{n \in \mathbb{N}} $ be a sequence of