Question 1

Figure
Refer to the following data for a multiple-server,nonpreemptive priority queueing model: 
-What is the average time in line (in minutes) for a high priority item?

Accepted Answer

A)  2.
B)  5.
C)  24.
D)  35.
E)  54.F) C) and D)
G) All of the above

Question 2

In a single-server system,the utilization factor is equal to the mean arrival rate divided by the mean service rate.

Accepted Answer

A) True 
 B)False

Question 3

The assumption of constant service times cannot be used with human servers because of the inevitable variability.

Accepted Answer

A) True 
 B)False

Question 4

The lack-of-memory property refers to a customer's willingness to wait in line even though there are other customers that will be served first.

Accepted Answer

A) True 
 B)False

Question 5

A single bay car wash with an exponential arrival rate and service time has cars arriving an average of 10 minutes apart,and an average service time of 4 minutes.The utilization factor is:

Accepted Answer

A)  0.24.
B)  0.4.
C)  0.67.
D)  2.5
E)  None of the above.F) All of the above
G) D) and E)

Question 6

Figure
Refer to the following data for a multiple-server,nonpreemptive priority queueing model: 
-What is the overall arrival rate per hour?

Accepted Answer

A)  3.
B)  4.
C)  5.
D)  8.
E)  15.F) None of the above
G) A) and B)

Question 7

A queueing system is said to be in a "steady state" when customers arrive at a constant rate,that is,without any variability.

Accepted Answer

A) True 
 B)False

Question 8

A multiple priority queueing model assumes that:

Accepted Answer

A)  arrival rates are exponentially distributed.
B)  service rate is exponentially distributed.
C)  items are serviced in the order of arrival.
D)  items are serviced in order of priority class.
E)  service activities are preemptive.F) C) and D)
G) A) and E)

Question 9

The most commonly used queueing models assume a service rate that is exponential.

Accepted Answer

A) True 
 B)False

Question 10

If there are 4 servers,what is the average time it takes in minutes to rent a videotape?

Accepted Answer

A)  2.
B)  3.
C)  4.
D)  5.
E)  6.F) C) and D)
G) A) and D)

Question 11

What is the average number of customers in the system with 8 servers?

Accepted Answer

A)  2.
B)  3.
C)  4.
D)  5.
E)  6.F) C) and D)
G) A) and B)

Question 12

On average,how many parties of truckers are waiting to be seated?

Accepted Answer

A)  0.27.
B)  0.52.
C)  0.88.
D)  1.36.
E)  1.75.F) B) and D)
G) A) and B)

Question 13

A system has one service facility that can service 10 customers per hour.The customers arrive at an average rate of 6 per hour.In this case,no waiting line will form.

Accepted Answer

A) True 
 B)False

Question 14

If clerk cost is $30 per hour and customer waiting time represents a cost of $20 per hour,how many clerks can be justified on a cost basis?

Accepted Answer

A)  2.
B)  3.
C)  4.
D)  5.
E)  6.Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times) .F) D) and E)
G) C) and E)

Question 15

In a preemptive priority system,the lowest-priority customer being served is ejected back into the queue whenever a higher-priority customer enters the queueing system.

Accepted Answer

A) True 
 B)False

Question 16

A multiple-server system has customers arriving at an average rate of five per hour and an average service time of forty minutes.The minimum number of servers for this system to have a utilization factor under 1 is:

Accepted Answer

A)  2.
B)  3.
C)  4.
D)  5.
E)  None of the above.Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings (exponential interarrival times) .Selling the tickets and providing general information takes an average of 3 minutes per customer,and varies exponentially.There is 1 ticket agent on duty on Mondays.F) None of the above
G) All of the above

Question 17

What is the minimum number of servers needed to achieve an average time in the system of less than three minutes?

Accepted Answer

A)  2.
B)  3.
C)  4.
D)  5.
E)  6.F) B) and E)
G) A) and E)

Question 18

Figure
Refer to the following data for a multiple-server,nonpreemptive priority queueing model: 
-What is the average number of all items waiting in line for service?

Accepted Answer

A)  0.
B)  0.24.
C)  1.74.
D)  1.98.
E)  2.22.F) A) and C)
G) D) and E)

Question 19

As the ratio of arrival rate to service rate is increased,which of the following is likely?

Accepted Answer

A)  Customers move through the system in less time because utilization is increased.
B)  Customers move through the system more slowly because utilization is increased.
C)  Utilization is decreased because of the added strain on the system.
D)  The average number in the system decreases.
E)  None of the above.F) D) and E)
G) A) and C)

Question 20

Which of the following is not an example of a commercial service system?

Accepted Answer

A)  ATM cash machine.
B)  Brokerage service.
C)  Travel agency.
D)  Tool crib.
E)  Call center.F) A) and C)
G) C) and E)

Exam 12: Queueing Models

The assumption of constant service times cannot be used with human servers because of the inevitable variability.

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In a single-server system,the utilization factor is equal to the mean arrival rate divided by the mean service rate.

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: -What is the overall arrival rate per hour?

Correct AnswerverifiedShow Answer

The lack-of-memory property refers to a customer's willingness to wait in line even though there are other customers that will be served first.

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A queueing system is said to be in a "steady state" when customers arrive at a constant rate,that is,without any variability.

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A multiple priority queueing model assumes that:

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What is the average number of customers in the system with 8 servers?

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As the ratio of arrival rate to service rate is increased,which of the following is likely?

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: -What is the average number of all items waiting in line for service?

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If clerk cost is $30 per hour and customer waiting time represents a cost of $20 per hour,how many clerks can be justified on a cost basis?

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A single bay car wash with an exponential arrival rate and service time has cars arriving an average of 10 minutes apart,and an average service time of 4 minutes.The utilization factor is:

Correct AnswerverifiedShow Answer

The most commonly used queueing models assume a service rate that is exponential.

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A multiple-server system has customers arriving at an average rate of five per hour and an average service time of forty minutes.The minimum number of servers for this system to have a utilization factor under 1 is:

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In a preemptive priority system,the lowest-priority customer being served is ejected back into the queue whenever a higher-priority customer enters the queueing system.

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A system has one service facility that can service 10 customers per hour.The customers arrive at an average rate of 6 per hour.In this case,no waiting line will form.

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On average,how many parties of truckers are waiting to be seated?

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Which of the following is not an example of a commercial service system?

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: -What is the average time in line (in minutes) for a high priority item?

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What is the minimum number of servers needed to achieve an average time in the system of less than three minutes?

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If there are 4 servers,what is the average time it takes in minutes to rent a videotape?

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