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Consider a single server system. Let the arrival distribution be uniformly distributed between 1 and 10 minutes and the service time distribution is as follows-
Service Time(min) 1 2 3 4 5 6
Probability 0.04 0.20 0.10 0.26 0.35 0.05

Develop the simulation table and analyze the system by simulating the arrival and service of 10 customers. Random digits for interarrival time and service time are as follows.

Customer 1 2 3 4 5 6 7 8 9 10
R.D for Interarrival Time - 853 340 205 99 669 742 301 888 444
R.D for Service Time 71 59 12 88 97 66 81 35 29 91

Also calculate server utilization and maximum queue length.

1 Answer
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Probability of occurrence of each interarrival time = 110=0.1

Random Digit Assignment for Interarrival time

Interarrival time Probability Cummulative Prob R.D.
1 0.100 0.100 001 - 100
2 0.100 0.200 102 - 200
3 0.100 0.300 201 - 300
4 0.100 0.400 301 - 400
5 0.100 0.500 …

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