Question: Generate a manual simulation for customers arriving at a single-queue, single-server system given the data shown in the table. Calculate average system time, average queue

  1. Generate a manual simulation for customers arriving at a single-queue, single-server system given the data shown in the table. Calculate average system time, average queue time and resource utilization based on the system for 18 min.
# Customer Interarrival time(min)

Service times

(min)

1 2 6
2 5 4
3 3 1
4 3 3
5 3 2
6 2 1

# Customer Interarrival time(min) arrival Begin end queue System

Service times

(min)

1 2 2 2 8 0 6 6
2 5 7 8 12 1 5 4
3 3 10 12 13 2 3 1
4 3 13 13 16 0 3 3
5 3 16 16 18 0 2 2
6 2 18 18 20 1

Ave System time =( 6+5+3+3+2)/5=3.8 min

Ave Queue time = 3/5=0.6 min

Average resource utilization = 16/18 = 0.888889 = 89%

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