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?

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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 waits for service?

 

THIS IS NOT  GRADED ASSIGNMENT, THIS IS PRACTICE FOR EXAMS

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: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
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
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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