This is a manual simulation.

A simple queuing system is given as follows. Also given are random variate

streams for both the arrival and service times $($in minutes$).$ Assume the first

arrival occurs at time $0$ and has a processing time of $1$ minute. After this,

customers arrive and are processed according to the following inter$-$arrival

and service times. Simulate the process by hand until TimeNow $=30$

minutes.

a$.$ Draw a plot of work$-$in$-$process over the $30$ minutes.

b$.$ Calculate the average flow time and waiting time in queue $($only for

completed parts in the $30$ mins$)$

c$.$ Calculate the average server utilization and queue length over the $30$

minutes.