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lesson_01.md
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Operations Research - lesson 2
Federico Malucelli
26 Sept 2017
Problems modeling
algorithm:
sort the indices by $\frac{c_i}{a_i}$
$remaining_budget \leftarrow b$
i<-1
repeat
$y_1 \leftarrow min {1, \frac{remaining budget}{a_i}}$
$remaining_budget \leftarrow remaining_budget - a_i*y_i$
$i \leftarrow i+1$
until $i=n+1$ or remaining_budget = 0