Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
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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Question
Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places.
-
What is the probability that the truck dock will be idle?
-
What is the average number of trucks in the queue?
truck(s)
-
What is the average number of trucks in the system?
truck(s)
-
What is the average time a truck spends in the queue waiting for service?
hour(s)
-
What is the average time a truck spends in the system?
hour(s)
-
What is the probability that an arriving truck will have to wait?
-
What is the probability that more than two trucks are waiting for service?
Transcribed Image Text:B4
fxx
A
1 Single Server Queueing Model
2 Enter the data only in the yellow cells.
3
LO
10
4
5
6
7
Probability system is empty
8
9
Average number waiting for service in the queue
Average number in system (queue and in service)
Average time waiting for service (time in queue)
11 Average waiting time in system (waiting time plus service time)
10
12
Probability arrival has to wait
13
n =
14
Probability of n units in the system (queue and in service)
15
16
17
18
19
20
21
22
23
24
Single Server Queue
Lambda
Mu
B
10
12
0.167
4.167
5.000
0.417
0.500
0.833
3
0.096
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