A private bank has installed an ATM in the city bazaar area. It was found that the time between an arrival and completion of transaction varies from one minute to seven minutes. The arrival and service distribution times are given below. a) Compute the average time for arrival and service times and construct the appropriate random number mappings using the average times for the random variables starting from random number mappings for the random variables starting from 00.

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Question 3 A


A private bank has installed an ATM in the city bazaar area. It was found that the time between an arrival and completion of transaction varies from one minute to seven minutes. The arrival and service distribution times are given below.

 

a) Compute the average time for arrival and service times and construct the appropriate random number mappings using the average times for the random variables starting from random number mappings for the random variables starting from 00. 


b) Simulate 15 customers arriving at the using the random numbers given below. 


Hint – average for time is using the mid point of time interval i.e 6-7 is 6.5

Random Numbers To Be Used in the Simulation
123 4 5 6 78 9 10 11
13 | 14
Customer
12
15
Interarrival time
0.08
0.87
0.15
0.04
0.52 0.46
0.96
0.1
0.02
0.76
0.32
0.1
0.62
0.25
0.9
Service Time
0.72
0.46
0.96
.00
0.27
0.73
0.76
0.25
0.11
0.47
0.28
0.83
0.52
0.39
0.68
Use the following headings to complete the simulation
Time
Wait
Time
Customer RN
Between
Arrival Begin
for
RN Service
End
in
Arrivals
Time
Service service
Time
Service System
Transcribed Image Text:Random Numbers To Be Used in the Simulation 123 4 5 6 78 9 10 11 13 | 14 Customer 12 15 Interarrival time 0.08 0.87 0.15 0.04 0.52 0.46 0.96 0.1 0.02 0.76 0.32 0.1 0.62 0.25 0.9 Service Time 0.72 0.46 0.96 .00 0.27 0.73 0.76 0.25 0.11 0.47 0.28 0.83 0.52 0.39 0.68 Use the following headings to complete the simulation Time Wait Time Customer RN Between Arrival Begin for RN Service End in Arrivals Time Service service Time Service System
Probability
Tune (aninutes)
Arrival
Service
1-2
0.10
0.05
2-3
0.15
0.15
3-4
0.30
0.30
4-5
0.25
0.20
5-6
0.10
0.15
6-7
0.10
0.15
Transcribed Image Text:Probability Tune (aninutes) Arrival Service 1-2 0.10 0.05 2-3 0.15 0.15 3-4 0.30 0.30 4-5 0.25 0.20 5-6 0.10 0.15 6-7 0.10 0.15
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