Question 3 A In a single pump petrol station, it was observed that the inter-arrival times and service times are as given in the table. Inter-arrival time Minutes 1 3 5 7 9 Probability 0.10 0.17 0.35 0.23 0.15 Service time Minutes 2 4 6 8 10 a) compute the midpoints for arrival and service times and construct the appropriate random number mappings for the random variables starting from 00. b) Simulate 15 customers arriving at the using the random numbers given below. Customer RN Probability 0.10 0.23 0.35 0.22 0.10 c) What is the average time a customer waits for service?/* d) What is the average time a customer is in the system (wait plus service time) ( e) What is the percent of time the clerk is busy with customers? Random Numbers To Be Used in the Simulation 1 15 Customer 2 3 4 5 6 7 8 9 10 11 12 13 14 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 Between Arrivals Wait for RN Service End Arrival Begin Time Service service Time in Time Service System
Question 3 A In a single pump petrol station, it was observed that the inter-arrival times and service times are as given in the table. Inter-arrival time Minutes 1 3 5 7 9 Probability 0.10 0.17 0.35 0.23 0.15 Service time Minutes 2 4 6 8 10 a) compute the midpoints for arrival and service times and construct the appropriate random number mappings for the random variables starting from 00. b) Simulate 15 customers arriving at the using the random numbers given below. Customer RN Probability 0.10 0.23 0.35 0.22 0.10 c) What is the average time a customer waits for service?/* d) What is the average time a customer is in the system (wait plus service time) ( e) What is the percent of time the clerk is busy with customers? Random Numbers To Be Used in the Simulation 1 15 Customer 2 3 4 5 6 7 8 9 10 11 12 13 14 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 Between Arrivals Wait for RN Service End Arrival Begin Time Service service Time in Time Service System
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 3 A
In a single pump petrol station, it was observed that the inter-arrival times and service times
are as given in the table.
Inter-arrival time
Minutes
1
3
5
7
9
Probability
0.10
0.17
0.35
0.23
0.15
Service time
Minutes
2
4
6
8
10
a) compute the midpoints for arrival and service times and construct the appropriate
random number mappings for the random variables starting from 00.
b) Simulate 15 customers arriving at the using the random numbers given below.
Customer RN
Probability
0.10
0.23
0.35
0.22
0.10
c) What is the average time a customer waits for service?/*
d) What is the average time a customer is in the system (wait plus service time) (
e) What is the percent of time the clerk is busy with customers?
Random Numbers To Be Used in the Simulation
1
15
Customer
2 3 4 5 6 7 8 9 10 11 12 13 14
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
Between
Arrivals
Wait
for RN Service End
Arrival Begin
Time Service service
Time
in
Time Service System
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how did you compute the arrival time, the wait for service, the end service time and the time in system
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