Aldo Nassigh edited subsection_Question_b_Out_of__.tex  almost 9 years ago

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\subsection{Question b}  Out of the peak hour the traffic intensity decreases to $a = 3$ \textit{Erlangs}\footnote{$2$ groups per minute times $1.5$ minutes service time}. Already with $c=5$ elevators the average server utilization is low: $\rho = 3/5 = 0.6$. The average waiting time \eqref{Tim} is $11''$, that is, it is \textbf{negligible} compared to the average service time ($W_s=1'$ $30''$). Thanks to one additional elevator, the average server utilization could be made as small as $\rho=0.5$, lowering the average waiting time \eqref{Tim} to $3''$. Also in this case the decrease in waiting time is much more than proportional