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Decreasing the variability of service times,without any change in the mean,improves the performance of a single-server queueing system substantially

A) True
B) False

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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?


A) 2
B) 3
C) 4
D) 5
E) 6

F) C) and D)
G) A) and D)

Correct Answer

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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:


A) 0 24
B) 0 4
C) 0 67
D) 2 5
E) None of the above

F) C) and E)
G) A) and B)

Correct Answer

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Which of these would increase system utilization?


A) An increase in the service rate
B) An increase in the arrival rate
C) An increase in the number of servers
D) A decrease in service time
E) All of the above

F) C) and D)
G) A) and B)

Correct Answer

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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

A) True
B) False

Correct Answer

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What is the minimum number of clerks needed to keep the average time in the system under 5 minutes?


A) 2
B) 3
C) 4
D) 5
E) 6

F) A) and D)
G) A) and E)

Correct Answer

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All single-server queueing models require the utilization factor to be less than 1

A) True
B) False

Correct Answer

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of all items waiting in line for service?


A) 0
B) 0 24
C) 1 74
D) 1 98
E) 2 22

F) B) and D)
G) D) and E)

Correct Answer

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Applying nonpreemptive priorities improves the measures of performance in the top priority class even more than applying preemptive priorities

A) True
B) False

Correct Answer

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What is the average number of customers waiting for service if 6 clerks are used?


A) 0
B) 0 01
C) 0 1
D) 1
E) 10

F) D) and E)
G) B) and D)

Correct Answer

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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. -What is the system utilization?


A) 0 6
B) 0 7
C) 0 8
D) 0 9
E) 1

F) C) and D)
G) B) and E)

Correct Answer

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The cost of customer waiting is easy to estimate

A) True
B) False

Correct Answer

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average time in line (in minutes) for a high priority item?


A) 2
B) 5
C) 24
D) 35
E) 54

F) A) and C)
G) A) and D)

Correct Answer

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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) . -What is the minimum number of servers needed to keep the average time in the system under 6 minutes?


A) 2
B) 3
C) 4
D) 5
E) 6

F) B) and C)
G) A) and C)

Correct Answer

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


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

F) A) and C)
G) A) and B)

Correct Answer

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The expected waiting time in line is equal to the expected number of customers in line divided by the arrival rate

A) True
B) False

Correct Answer

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The number of customers in a system is the number in the queue plus one

A) True
B) False

Correct Answer

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average time in the system (in minutes) for a high priority item?


A) 2
B) 5
C) 24
D) 35
E) 54

F) A) and B)
G) B) and E)

Correct Answer

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


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) B) and E)
G) B) and C)

Correct Answer

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Multiple-server queueing systems can perform satisfactorily with somewhat higher utilization factors than can single-server queueing systems

A) True
B) False

Correct Answer

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