Some persons are 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 T Inter - arrival time (Secs) 0 to under 30 30 to under 60 60 to under 90 90 to under 120 Frequency (%) 55 30 10 5

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Chapter1: Combinatorial Analysis
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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 is in the system (wait plus service time)

THIS IS NOT A GRADED ASSIGNMENT THIS IS PRACTICE FOR EXAMS

Hint (midpoint for 60 to under 90 (60+90)/2=75 sec)
Customer
Interarrival time
Service Time
11 12 13 14
15
1 2 3
0.08 0.87 0.15
Random Numbers To Be Used in the Simulation
4 5 6 7 8 9 10
0.04 0.52 0.46 0.96 0.1
0.02
0.76
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
0.32 0.1 0.62 0.25 0.9
Use the following headings to complete the simulation
Time
Between
Customer RN
Arrivals
Arrival
Wait
for
Begin
Time Service service
Time
in
Service System
RN Service End
Time
Transcribed Image Text:Hint (midpoint for 60 to under 90 (60+90)/2=75 sec) Customer Interarrival time Service Time 11 12 13 14 15 1 2 3 0.08 0.87 0.15 Random Numbers To Be Used in the Simulation 4 5 6 7 8 9 10 0.04 0.52 0.46 0.96 0.1 0.02 0.76 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 0.32 0.1 0.62 0.25 0.9 Use the following headings to complete the simulation Time Between Customer RN Arrivals Arrival Wait for Begin Time Service service Time in Service System RN Service End Time
Some persons are 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)
0 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
Transcribed Image Text:Some persons are 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) 0 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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