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Each of the following is notation for a waiting-line model presented in the textbook except:


A) M/P/S.
B) M/M/1.
C) M/D/1.
D) M/M/S.
E) M/P/1.

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

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The goal of waiting-line management is to eliminate customer waiting lines.

A) True
B) False

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A restaurant at a popular Colorado casino provides priority service to player's card holders. The restaurant has 10 tables or booths where customers may be seated. The service time (time a booth or table is occupied) averages 42 minutes once a party is seated. The customer arrival rate is 8 parties per hour, with the parties being equally divided between card holders and people without player's cards. On average, how many parties without player's cards are waiting to be seated?


A) 0.000
B) 0.027
C) 0.061
D) 2.861
E) 5.688

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

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Little's law states that the average number of people in a waiting line is the average customer arrival rate multiplied by the:


A) average time in the system.
B) average waiting timE.
C) service time minus the waiting time.
D) average number in line.
E) waiting time.

F) None of the above
G) All of the above

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A bank of 10 machines requires regular periodic service. Machine running time and service time are both exponential. Machines run for an average of 44 minutes between service requirements, and service time averages six minutes per machine. What is the probability that a machine will have to wait for service with two operators?


A) .654
B) .090
C) .346
D) .910
E) .016

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

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The cost of customer waiting is easy to estimate, the number waiting multiplied by the wait cost per minute.

A) True
B) False

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An alternative strategy to increase the capacity of a service system is:


A) reducing the number of arrivals.
B) increasing variability.
C) increasing the processing ratE.
D) reducing the number of servers.
E) reducing the processing rate.

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

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The total cost curve:


A) starts at zero and increases as service capacity increases.
B) begins high and decreases as service capacity increases.
C) starts high, declines, then increases again.
D) remains relatively flat regardless of service capacity.
E) starts at zero, increases rapidly, then declines slowly back to zero.

F) All of the above
G) B) and C)

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A ________ is one way of reducing perceived waiting time.


A) bonus
B) gatekeeper
C) reservation
D) diversion
E) number calling system

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

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In an infinite-source model, the system utilization is the ratio of the arrival rate to the service capacity.

A) True
B) False

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To reduce waiting times by actively managing system constraints, managers could consider: (I) using temporary workers. (II) shifting demand from high-demand periods to low-demand periods. (III) offering more service variety. (IV) discovering bottlenecks.


A) I and III only
B) I, II, and IV only
C) III only
D) II and IV only
E) IV only

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

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A single-channel queuing system has an average service time of 16 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 16 minutes. The arrival rate will remain the same. The effect will be to:


A) increase utilization.
B) decrease utilization.
C) increase the average waiting time.
D) decrease the average waiting timE.
E) not have any effect since the service time is unchanged.

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

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A restaurant at a popular Colorado casino provides priority service to player's card holders. The restaurant has 10 tables or booths where customers may be seated. The service time (time a booth or table is occupied) averages 42 minutes once a party is seated. The customer arrival rate is 8 parties per hour, with the parties being equally divided between card holders and people without player's cards. On average, how many parties with player's cards are waiting to be seated?


A) 0.000
B) 0.027
C) 0.061
D) 2.827
E) 5.688

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

Correct Answer

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Which of the following would tend to increase the difference between the actual time customers spent waiting and the perceived time spent waiting by those customers? (I) Lots of experience with the service on the part of customers (II) Anxiety on the part of customers (III) A pleasant physical environment for the customers


A) I and II only
B) I only
C) II only
D) III only
E) I, II, and III

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

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In which of these settings would one be least likely to encounter first-come service?


A) a fast-food restaurant
B) a doctor's office
C) a hotel check-in operation
D) an emergency room
E) a check-out line

F) B) and E)
G) None of the above

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A bank of 10 machines requires regular periodic service. Machine running time and service time are both exponential. Machines run for an average of 44 minutes between service requirements, and service time averages six minutes per machine. What is the average number of machines down when there is one operator?


A) 1.49
B) 3.35
C) 4.40
D) 6.65
E) 8.51

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

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A single-channel queuing system has an average service time of eight minutes and an average time between arrivals of 10 minutes. The arrival rate is:


A) 6 per hour.
B) 7.5 per hour.
C) 8 per hour.
D) 10 per hour.
E) 12.5 per hour.

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

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A basic difference between infinite-source and finite-source queuing models is the:


A) number of servers.
B) average waiting time.
C) arrival distribution.
D) size of potential calling population.
E) processing rate.

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

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A multiple-channel system has customers arriving at an average rate of five per hour and an average service time of 40 minutes. The minimum number of servers for this system to be underloaded is:


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

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

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Although it is generally the case that service systems have enough capacity, waiting lines result when __________ exceeds capacity for periods of time.


A) homogeneity
B) variability
C) price
D) demand
E) heterogeneity

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

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