Table gives observations regarding customers at a single-server FCFS queue. (a) Compute the average time in the queue and the average time in the system. (b) Calculate the average system waiting time of those customers who had to wait for service (i.e., exclude those who were immediately taken into service). Calculate the average length of the queue, the average number in the system, and the fraction of idle time of the server. (c) Using the Excel spreadsheet, for example, plot the the graph of {N(t), 0
Table gives observations regarding customers at a single-server FCFS queue. (a) Compute the average time in the queue and the average time in the system. (b) Calculate the average system waiting time of those customers who had to wait for service (i.e., exclude those who were immediately taken into service). Calculate the average length of the queue, the average number in the system, and the fraction of idle time of the server. (c) Using the Excel spreadsheet, for example, plot the the graph of {N(t), 0
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![Problem 2
Table gives observations regarding customers at a single-server FCFS
queue.
(a) Compute the average time in the queue and the average time in the
system.
(b) Calculate the average system waiting time of those customers who had
to wait for service (i.e., exclude those who were immediately taken into
service). Calculate the average length of the queue, the average number
in the system, and the fraction of idle time of the server.
(c) Using the Excel spreadsheet,
for example, plot the the graph of
{N(t), 0<t<T), where N(t) is the
number of people in the system at time t.
Similarly, for the Q(t) - the number of people
waiting at time t. For the end of the interval T
take the time when the last customer leaves the
system.
You may also need these graphs to answer the
question in (a) and (b)
Customer Interarrival Time Service Time
1
2
234
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
6
7
9
8
4
10
6
12
8
9
7
8
7
3
7
9
10
4
8
∞ ∞ ∞ 66 Aswa win no
5
5
3
6
3
5
9
8
8
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a9802b-ded9-4a7b-93c8-71218002814a%2F7c16eb2a-f88d-4126-bde5-ecff829ba8d1%2Folnd52_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2
Table gives observations regarding customers at a single-server FCFS
queue.
(a) Compute the average time in the queue and the average time in the
system.
(b) Calculate the average system waiting time of those customers who had
to wait for service (i.e., exclude those who were immediately taken into
service). Calculate the average length of the queue, the average number
in the system, and the fraction of idle time of the server.
(c) Using the Excel spreadsheet,
for example, plot the the graph of
{N(t), 0<t<T), where N(t) is the
number of people in the system at time t.
Similarly, for the Q(t) - the number of people
waiting at time t. For the end of the interval T
take the time when the last customer leaves the
system.
You may also need these graphs to answer the
question in (a) and (b)
Customer Interarrival Time Service Time
1
2
234
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
6
7
9
8
4
10
6
12
8
9
7
8
7
3
7
9
10
4
8
∞ ∞ ∞ 66 Aswa win no
5
5
3
6
3
5
9
8
8
3
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