Use this information to answer the following questions. $\begin{array}{l|c} \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 7.00 \\ \text { Service Rate } & 10.00 \\ \mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\ \mathrm{Lq} \text {, average length of the queue } & 1.63 \\ \mathrm{~W} \text {, average time in the system } & 0.33 \\ \mathrm{~L} \text {, average number of customers in the system } & 2.33 \\ \mathrm{Wq}, \text { average time in the queue } & 0.23 \\ \text { Utilization factor of the system } & 70 \% \\ \hline \end{array}$ -Refer to the table.Assuming a Poisson distribution arrival rate and an exponential distribution service rate,what is the Kendall notation of this system?

A) M/M/1 B) M/D/1 C) M/G/1 D) D/M/1 E) G/M/1 A) M/M/1 B) M/D/1 C) M/G/1 D) D/M/1 E) G/M/1

Use this information to answer the following questions. $\begin{array}{l|c} \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 7.00 \\ \text { Service Rate } & 10.00 \\ \mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\ \mathrm{Lq} \text {, average length of the queue } & 1.63 \\ \mathrm{~W} \text {, average time in the system } & 0.33 \\ \mathrm{~L} \text {, average number of customers in the system } & 2.33 \\ \mathrm{Wq}, \text { average time in the queue } & 0.23 \\ \text { Utilization factor of the system } & 70 \% \\ \hline \end{array}$ -Refer to the table.What is the average number of customers in the queue plus the number being served?

A) 0.70 B) 2.33 C) 1.63 D) 0.23 E) 0.33 A) 0.70 B) 2.33 C) 1.63 D) 0.23 E) 0.33

Use this information to answer the following questions. \[\begin{array} { l | c } \hline \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 8.00 \\ \text { Service Rate } & 10.00 \\ \text { Standard deviation of servicetime } & 0.09 \\ \hline \end{array}\] -Refer to the table.What is the average server utilization?

A) 125% B) 100% C) 80% D) 10% E) 9% A) 125% B) 100% C) 80% D) 10% E) 9%

Use this information to answer the following questions. $\begin{array}{l|c} \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 7.00 \\ \text { Service Rate } & 10.00 \\ \mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\ \mathrm{Lq} \text {, average length of the queue } & 1.63 \\ \mathrm{~W} \text {, average time in the system } & 0.33 \\ \mathrm{~L} \text {, average number of customers in the system } & 2.33 \\ \mathrm{Wq}, \text { average time in the queue } & 0.23 \\ \text { Utilization factor of the system } & 70 \% \\ \hline \end{array}$ -Refer to the table.If a second server was added with the same service rate,what would be the revised utilization factor of the system?

A) 70% B) 50% C) 49% D) 35% E) 25% A) 70% B) 50% C) 49% D) 35% E) 25%

Use this information to answer the following questions. $\begin{array}{l|c} \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 7.00 \\ \text { Service Rate } & 10.00 \\ \mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\ \mathrm{Lq} \text {, average length of the queue } & 1.63 \\ \mathrm{~W} \text {, average time in the system } & 0.33 \\ \mathrm{~L} \text {, average number of customers in the system } & 2.33 \\ \mathrm{Wq}, \text { average time in the queue } & 0.23 \\ \text { Utilization factor of the system } & 70 \% \\ \hline \end{array}$ -Refer to the table.What is the average time a customer spends waiting in line and being served?

A) 0.23 B) 2.33 C) 0.33 D) 1.63 E) 0.70 A) 0.23 B) 2.33 C) 0.33 D) 1.63 E) 0.70

Use this information to answer the following questions. $\begin{array}{l|c} \text { Number of Servers } & 1.0 \\ \text { Arrival Rate } & 7.00 \\ \text { Service Rate } & 10.00 \\ \mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\ \mathrm{Lq} \text {, average length of the queue } & 1.63 \\ \mathrm{~W} \text {, average time in the system } & 0.33 \\ \mathrm{~L} \text {, average number of customers in the system } & 2.33 \\ \mathrm{Wq}, \text { average time in the queue } & 0.23 \\ \text { Utilization factor of the system } & 70 \% \\ \hline \end{array}$ -Refer to the table.What is the average number of customers waiting to be served?

A) 0.23 B) 2.33 C) 0.33 D) 1.63 E) 0.70 A) 0.23 B) 2.33 C) 0.33 D) 1.63 E) 0.70

Exam 9: Queuing Models

Use this information to answer the following questions. Cars arrive at Speedy Lube at an average rate of 4 per hour.Arrivals can be assumed to follow the Poisson distribution.The sole mechanic who works at Speedy Lube spends an average of 12 minutes changing each car's oil and filter.The standard deviation of service time is 2 minutes and service time distribution is arbitrary. -Refer to the information above.Assume that Speedy Lube has been acquired by a new owner who is planning an advertisement campaign that claims that each car would spend an average of 20 minutes in the shop inclusive of waiting time and service time.What should the mechanic's service rate be so as not to accuse the new owner of False advertising? Hint: Use Excel's Goal Seek function.

(Essay)

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Question 21

Use this information to answer the following questions. Cars arrive at Speedy Lube at an average rate of 4 per hour.Arrivals can be assumed to follow the Poisson distribution.The sole mechanic who works at Speedy Lube spends an average of 12 minutes changing each car's oil and filter.The standard deviation of service time is 2 minutes and service time distribution is arbitrary. -Refer to the information above.Calculate the operating characteristics of the queuing system at Speedy Lube.What is the probability that an arriving customer will have to wait for service?

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Question 22

An M/M/1 system denotes a single server queuing system with exponential arrival and Poisson service time distributions.

(True/False)

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Question 23

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.Assuming a Poisson distribution arrival rate and an exponential distribution service rate,what is the Kendall notation of this system?

(Multiple Choice)

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Question 24

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.What is the average number of customers in the queue plus the number being served?

(Multiple Choice)

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Question 25

A local bank has a single drive-in teller window.Customers arrive at the drive-in window following a Poisson distribution at an average rate of 20 per hour.Assume that service is provided at the drive-in window at a rate of 30 customers per hour and that service time follows an exponential distribution.Moreover,assume that the population size is infinite and the queue length is unrestricted.To determine the efficiency of operations,the bank wishes to examine several queue operating characteristics. a.What is the utilization rate of this service system? b.What is the average number of customers in line? c.What is the average time that each customer spends in the queue? d.What is the average time that each customer spends in the system? e.What is the probability that the drive-in window will be idle?

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Question 26

The two primary components of queuing system costs are the cost of providing service and the cost of wages.

(True/False)

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Question 27

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 8.00 Service Rate 10.00 Standard deviation of servicetime 0.09 -Refer to the table.What is the average server utilization?

(Multiple Choice)

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Question 28

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.If a second server was added with the same service rate,what would be the revised utilization factor of the system?

(Multiple Choice)

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Question 29

The cost of providing service is generally easier to quantify than the cost of waiting time.

(True/False)

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Question 30

Use this information to answer the following questions. Cars arrive at Sparkling Clean automatic car wash at the rate of 15 per hour and follow the Poisson distribution.It takes exactly 3 minutes for each car to go through the automated process of wetting,soaping,scrubbing,and drying. -Refer the information above.Assume that the owners of Sparkling Clean decide that in order to remain competitive in the automatic car wash business,each car should not spend more than 6 minutes in the system.The company that had installed the car wash system told the owners that they would be happy to tweak the timing of the automated washing process to achieve the desired goal of the owners.What should the service rate be? Hint: Use Excel's Goal Seek function.

(Essay)

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Question 31

The average time each customer spends in the queue is referred to as:

(Multiple Choice)

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Question 32

Customers arrive at a grocery store following a Poisson distribution at an average rate of 70 per hour.On average,how many customers arrive per minute?

(Multiple Choice)

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Question 33

What is the Kendall notation for the queuing system that develops when students from a single class wait to see a professor for office hours,assuming Poisson arrivals and exponential service time?

(Multiple Choice)

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Question 34

In a drive-in fast food restaurant,customers form a single lane,place their order and pay their bill at one window,and then pick up their food at a second window.This queuing configuration is referred to as:

(Multiple Choice)

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Question 35

Use this information to answer the following questions. A fast food restaurant currently has 2 cashiers.Upon arrival,customers form a single line and place their food order at the next available register.Assume that customers arrive at the rate of 35 per hour.It takes an average of 3 minutes to place and process each customer's order.Assume that arrival rate follows a Poisson distribution and service time follows an exponential distribution. -Refer to the information above.Assume that each employee earns an hourly wage of $6.50/hour.Also,assume that the cost of customer waiting time is $10/hour.What would be the impact of hiring an additional employee on customers' waiting time and total costs?

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Question 36

Service time in queuing systems often follows the Poisson distribution.

(True/False)

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Question 37

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.What is the average time a customer spends waiting in line and being served?

(Multiple Choice)

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Question 38

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.What is the average number of customers waiting to be served?

(Multiple Choice)

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Question 39

If the average arrival rate (λ)is greater than the average service rate (µ),the queue length will grow indefinitely.

(True/False)

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Question 40

Showing 21 - 40 of 47

An M/M/1 system denotes a single server queuing system with exponential arrival and Poisson service time distributions.

The two primary components of queuing system costs are the cost of providing service and the cost of wages.

Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 8.00 Service Rate 10.00 Standard deviation of servicetime 0.09 -Refer to the table.What is the average server utilization?

The cost of providing service is generally easier to quantify than the cost of waiting time.

The average time each customer spends in the queue is referred to as:

Customers arrive at a grocery store following a Poisson distribution at an average rate of 70 per hour.On average,how many customers arrive per minute?

What is the Kendall notation for the queuing system that develops when students from a single class wait to see a professor for office hours,assuming Poisson arrivals and exponential service time?

In a drive-in fast food restaurant,customers form a single lane,place their order and pay their bill at one window,and then pick up their food at a second window.This queuing configuration is referred to as:

Service time in queuing systems often follows the Poisson distribution.

If the average arrival rate (λ)is greater than the average service rate (µ),the queue length will grow indefinitely.

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