Questions 1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 00 2. Simulate 15 customers arriving at the using the random numbers given below. 3. What is the average time a customer waits for service?
Questions 1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 00 2. Simulate 15 customers arriving at the using the random numbers given below. 3. What is the average time a customer waits for service?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Questions
1. Compute the midpoints for arrival and service times and apply it to construct the
appropriate random number mappings for the random variables starting from 00
2. Simulate 15 customers arriving at the using the random numbers given below.
3. What is the average time a customer waits for service?
THIS IS NOT GRADED ASSIGNMENT, THIS IS PRACTICE FOR EXAMS
Transcribed Image Text:Hint (midpoint for 60 to under 90= (60+90)/2=75 sec)
Customer
Interarrival time
Service Time
12
13 14 15
Random Numbers To Be Used in the Simulation
1 2 3 4 5 6 7 8 9 10 11
0.96 0.1
0.76 0.32 0.1
0.25
0.47 0.28 0.83 0.52 0.39
0.52 0.46
0.02
0.62 0.25
0.9
0.08 0.87 0.15 0.04
0.72
0.46 0.96 .00 0.27 0.73 0.76
0.11
0.68
Use the following headings to complete the simulation
Time
Between
Arrivals
Customer RN
Wait
for
Arrival Begin
Time Service service
Time
in
Time Service System
RN Service End
Transcribed Image Text:Persons arriving at a Caribbean rail ticket office during the morning peak commuter period frequently
have to wait for service. There is one clerk who issues tickets and provides an information service for
passengers. The Boss has received complaints regarding the time passengers spend in the queue waiting
to be served, and she wishes to investigate possible methods of reducing the queueing time. Possible
ideas include employing a second ticket clerk who could either share the work of the existing clerk or
perhaps handle enquiries only. Another idea may be to collect fares on the train. The manager decided
to collect data on arrivals and service times over a number of days, and her figures are summarized
Inter - arrival time (Secs)
O to under 30
30 to under 60
60 to under 90
90 to under 120
Service time (secs)
20 to under 30
30 to under 40
40 to under 50
50 to under 60
60 to under 90
Frequency (%)
55
30
10
5
Frequency (%)
17
28
25
20
10
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