[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

In Exercise the service time [math]S[/math] has a geometric distribution with [math]E(S) = 1/r[/math]. Assume that the service time is, instead, a constant time of [math]t[/math] seconds. Modify your computer program of Exercise so that it simulates a constant time service distribution. Compare the average queue length for the two types of distributions when they have the same expected service time (i.e., take [math]t = 1/r[/math]). Which distribution leads to the longer queues on the average?