tex: add intro paragraph

latex/content.tex

@@ -7,6 +7,19 @@ optimize the storage and transport of items in boxes, containers, trucks, etc. I
 this paper, we will focus on one-dimensional bin packing, where we try to store
 items of different heigts 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.