Simulation and Modelling

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a)      The data below shows the arrival time , service time , and delays  for 6 customers arriving at a Barbershop, which has one Barber, and service is offered on a first-come first-served basis.

     i

1

2

3

4

5

6

Ai

15

47

71

111

123

152

Di

0

11

23

17

35

44

Si

43

36

34

30

38

40

                    i. Calculate the average inter-arrival time and the arrival rate (3 Marks)

 

                  ii.            Calculate the average service time and the service rate (3 Marks)

                iii.            Calculate the average delay in the queue (2 Marks)

 

                iv.            Calculate the average wait in the service node (2 Marks)

b) Outline thre attributes of Discrete-event simulation models (3 Marks)

 

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