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 seven trucks per hour. U Single Server Queue Excel template in MindTap to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the truck dock will be idle? b. What is the average number of trucks in the queue? truck(s) c. What is the average number of trucks in the system? truck(s) d. What is the average time a truck spends in the queue waiting for service? hour(s) e. What is the average time a truck spends in the system? hour(s) 1. What is the probability that an arriving truck will have to wait? g. 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 seven trucks per hour. U Single Server Queue Excel template in MindTap to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the truck dock will be idle? b. What is the average number of trucks in the queue? truck(s) c. What is the average number of trucks in the system? truck(s) d. What is the average time a truck spends in the queue waiting for service? hour(s) e. What is the average time a truck spends in the system? hour(s) 1. What is the probability that an arriving truck will have to wait? g. What is the probability that more than two trucks are waiting 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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Transcribed Image Text:1 Single Server Queueing Model
2 Enter the data only in the yellow cells.
3
&L LO
5
6
N00
Probability system is empty
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)
Probability arrival has to wait
9
GETRE 8
10
14
Lambda
Mu
15
Probability of n units in the system (queue and in service
10
12
0.167
4.167
5.000
0.417
0.500
0.833
3
0.096
Transcribed Image Text: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 seven trucks per hour. Use the
Single Server Queue Excel template in MindTap 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?
b. What is the average number of trucks in the queue?
truck(s)
c. What is the average number of trucks in the system?
truck()
d. What is the average time a truck spends in the queue waiting for service?
hour(s)
e. What is the average time a truck spends in the system?
hour(s)
1. What is the probability that an arriving truck will have to wait?
g. What is the probability that more than two trucks are waiting for service?
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