NOTE: PLEASE ANSWER IN EXACT WAY REQUIRED

Using the following interarrival and service time, perform hand simulation of a single channel queuing system using event scheduling time advance algorithm. The simulation must be terminated at a clock time of $22$ minutes.

Entity

Time Since last arrival $($minues$)$

Service time $($minutes$)1--42333424155356227348529331042$

Complete the table below:

Clock System States Event Calendar Stat Accum. Q$($t$)$ B$($t$)$ SQdt $|$jBdt

After completing the event scheduling time advance algorithm step by step $($in the table above$),$ calculate the values of the following performance measures:

Performance measure of the system Values The maximum queue length The average queue length The proportion of time the server is busy

The minimum time in the system $($in queue plus in service$)$

The maximum time in the system $($in queue plus in service$)$

The average time in the system $($in queue plus in service$)$