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Cleaned up RAID handout

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Mark 2023-01-12 18:56:54 -08:00
parent 7e2ebc4fc7
commit 513bac6f54
1 changed files with 5 additions and 4 deletions
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9
Misc/Warm-Ups/raid.tex
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@ -66,7 +66,7 @@
\problem{} \problem{}
Suppose we have two hard drives. How can we arrange our data so that... Suppose we have two hard drives. How can we arrange our data so that...
\begin{enumerate} \begin{enumerate}
\item We can store 1 TiB of data \item We get 1 TiB of usable storage
\item We lose no data if any one drive fails \item We lose no data if any one drive fails
\end{enumerate} \end{enumerate}
@ -75,7 +75,7 @@
\problem{} \problem{}
Suppose we have three hard drives. How can we arrange our data so that... Suppose we have three hard drives. How can we arrange our data so that...
\begin{enumerate} \begin{enumerate}
\item We can store 2 TiB of data \item We get 2 TiB of usable storage
\item We lose no data if any one drive fails \item We lose no data if any one drive fails
\end{enumerate} \end{enumerate}
@ -84,14 +84,15 @@
\problem{} \problem{}
Suppose we have five hard drives. How can we arrange our data so that... Suppose we have five hard drives. How can we arrange our data so that...
\begin{enumerate} \begin{enumerate}
\item We can store 3 TiB of data \item We get 3 TiB of usable storage
\item We lose no data if any two drives fail \item We lose no data if any two drives fail
\end{enumerate} \end{enumerate}
\vfill \vfill
\problem{} \problem{}
Can you write a general solution to this problem? Write a general solution to this problem, using $n$ drives and providing $s$ TiB of storage. \\
How many failures will such an array be able to tolerate?
\vfill \vfill
\end{document} \end{document}