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Aldo Nassigh edited subsection_The_distribution_of_Service__.tex
almost 9 years ago
Commit id: a375284ebefa17219c4c7f40bbedd22a78eee65e
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\subsection{The distribution of Service Time}
The service time is a continuous stochastic variable distributed according to an exponential distribution with parameter $\mu$. The probability density function (\textit{pdf}) of service time is:
\begin{equation}\label{Exponential} \begin{equation}
f(t) = \mu e^{- \mu t}
\end{equation}
The average service time is $W_s = 1 / \mu$. The chart below shows the pdf of the exponential distribution with average service time $W_s=2$ minutes, $W_s=1$ minute, $W_s=2/3$ minute.
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