Compare commits

..

No commits in common. "9bc4e67c6844b53981213432c74f867ce2837c36" and "709b29662b2e4b7182f663af01694c0fa0036c03" have entirely different histories.

4 changed files with 27 additions and 59 deletions

View file

@ -34,5 +34,4 @@ trouver un argument solide sur pk on a choisi ce projet
Install the necessary tools with `sudo apt-get install texlive-full`.
Navigate to `latex` directory and then run `pdflatex main.tex`. The output pdf
should be at `main.pdf`. You may want to run `biber main` first, to compile the
bibliography.
should be at `main.pdf`.

View file

@ -1,18 +0,0 @@
@book{hofri:1987,
author = {Hofri, M.},
title = {Probabilistic Analysis of Algorithms: On Computing Methodologies for
Computer Algorithms Performance Evaluation},
year = {1987},
isbn = {0387965785},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@misc{bin-packing-approximation:2022,
author = {{Computational Thinking}},
title = {Bin Packing Approximation},
year = {2022},
howpublished = {YouTube video},
url = {https://www.youtube.com/watch?v=R76aAh_li50},
}

View file

@ -1,41 +1,33 @@
\sectionnn{Introduction}
Bin packing is the process of packing a set of items of different sizes into
containers of a fixed capacity in a way that minimizes the number of containers
used. This has applications in many fields, such as logistics, where we want to
optimize the storage and transport of items in boxes, containers, trucks, etc. In
this paper, we will focus on one-dimensional bin packing, where we try to store
items of different heights in a linear container.
Building mathematical models for bin packing is useful in understanding the
problem and in designing better algorithms, depending on the use case. An
algorithm optimized for packing cubes into boxes will not perform as well as
another algorithm for packing long items into trucks. Studying the mathematics
behind algorithms provides us with a better understanding of what works best.
When operating at scale, every small detail can have a huge impact on overall
efficiency and cost. Therefore, carefully developing algorithms based on solid
mathematical models is crucial. As we have seen in our Automatics class, a
small logic breach can be an issue in the long run in systems that are supposed
to run autonomously. This situation can be avoided by using mathematical models
during the design process wich will lead to better choices welding economic and
relibility concerns.
We will conduct a probabilistic analysis of multiple algorithms and compare
results to theoritical values. We will also consider the algoriths complexity
and performance, both in resource consumption and in box usage.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod
tempor incididunt ut labore et dolore magna aliqua. Tortor pretium
viverra suspendisse potenti nullam ac tortor vitae. Porttitor massa id
neque aliquam vestibulum morbi blandit. Quis imperdiet massa tincidunt
nunc pulvinar sapien et ligula. Tincidunt lobortis feugiat \& vivamus
at. Amet justo donec enim diam. Ut tortor pretium viverra suspendisse
potenti nullam ac tortor vitae. Consectetur a erat nam at lectus urna
duis convallis convallis. Viverra nam libero justo laoreet sit amet
cursus. Non enim praesent elementum facilisis leo\footnotemark. Sit amet mauris
commodo quis. Lectus mauris ultrices eros in cursus turpis. Cursus euismod
quis viverra nibh cras pulvinar mattis. Duis at consectetur lorem donec
massa sapien faucibus. In hac habitasse platea dictumst quisque sagittis
purus. Ut aliquam purus sit amet. Eget egestas purus viverra accumsan
in nisl. Egestas dui id ornare arcu odio ut sem. Nunc mi ipsum faucibus
vitae. Vel pretium lectus quam id leo in vitae.
\footnotetext{Egestas dui id ornare arcu odio ut sem.}
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod
tempor incididunt ut labore et dolore magna aliqua. Tortor pretium
viverra suspendisse potenti nullam ac tortor vitae. Porttitor massa id
neque aliquam vestibulum morbi blandit. Quis imperdiet massa tincidunt
nunc pulvinar sapien et ligula. Tincidunt lobortis feugiat vivamus
at. Amet justo donec enim diam. Ut tortor pretium viverra suspendisse
\clearpage
\section{Bin packing use cases}
\cite{hofri:1987}
\section{Box fitting use cases}
\subsection{Logistics}
@ -53,7 +45,5 @@ and performance, both in resource consumption and in box usage.
\subsection{Optimal algorithm}
\cite{bin-packing-approximation:2022}
\sectionnn{Conclusion}

View file

@ -19,10 +19,9 @@
\usepackage{minitoc}
\usepackage{pdfpages}
\usepackage[style=iso-alphabetic]{biblatex}
\usepackage{biblatex}
\addbibresource{bibliography.bib}
\input{advanced.params/tikz.conf}
\input{advanced.params/misc.commands}
\input{cover/covermain.tex}
@ -52,10 +51,8 @@
\include{content}
% BIBLIOGRAPHIE
\addcontentsline{toc}{section}{Bibliography}
\printbibliography[title={Bibliography}]
%\addcontentsline{toc}{section}{Bibliography}
%\printbibliography
% TABLE DES ANNEXES