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Exam 18: Management of Waiting Lines

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Question 41

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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 40 minutes once a party is seated. The customer arrival rate is 12 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) 0.52
B) 0.41
C) 0.88
D) 1.23
E) 1.75

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

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Question 42

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To reduce the average number waiting in line, it is important to increase utilization.

A) True
B) False

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Question 43

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An approach to reducing the variability in processing times might include greater standardization.

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

A department has five machines that each run for an average of 8.4 hours (exponential) before service is required. Service time average is 1.6 hours (exponential). (A) While running, each machine can produce 120 pieces per hour. With one server, what is the average hourly output actually achieved? (B) With two servers, what is the probability that a machine would be served immediately when it requires service? (C) If machine downtime cost is $100 per hour per machine, and server time costs $30 per hour, how many servers would be optimal?

In a _______ system, customers enter the waiting line, receive service, and leave.

A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service. The drive-up service will have three tellers and a single waiting line. At another branch of the bank in a similar setting, the average service time for drive-up tellers is four minutes per customer, and average arrival rate is 36 customers per hour. It is expected that the new bank will have similar characteristics. How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars?

A single-phase queuing system is one which has a single:

Consider these data regarding the multiple-server, priority service queuing model: $\begin{array} { l l } \text { Priority } & \text { Average Arrival Rate } \\ \hline \text { High } & 3 \text { per hour (Poisson) } \\\text { Low } & 5 \text { per hour (Poisson) }\end{array}$ Service Rate: 2 per hour (Poisson) Number of Servers: 5 What is the average time in the system for a high-priority item?

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

The queuing models discussed in the text apply only to steady-state conditions. Steady state exists only when customers arrive at a steady rate; that is, without any variability.

The most commonly used queuing models assume that the arrival rate can be described by a Poisson distribution.

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 multiple-channel system assumes that each server will have its own waiting line, and line changing is not permitted.

Consider these data regarding the multiple-server, priority service queuing model: $\begin{array} { l l } \text { Priority } & \text { Average Arrival Rate } \\\hline \text { High } & 3 \text { per hour (Poisson) } \\\text { Low } & 5 \text { per hour (Poisson) }\end{array}$ Service Rate: 2 per hour (Poisson) Number of Servers: 5 What is the average time in the system for a low-priority item?

Which of the following would reduce perceived waiting times most dramatically in a doctor's office?

When the waiting cost incurred by customers likely varies, an appropriate queuing model is:

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. If operators cost $15 per hour in wages and fringe benefits and machine downtime costs $75 per hour in lost production, what is the optimal number of operators for this bank of machines?

For a system that has a low utilization ratio, decreasing service capacity slightly will have only negligible effect on customer waiting time.

Consider these data regarding the multiple-server, priority service queuing model: $\begin{array} { l l } \text { Priority } & \text { Average Arrival Rate } \\\hline \text { High } & 3 \text { per hour (Poisson) } \\\text { Low } & 5 \text { per hour (Poisson) }\end{array}$ Service Rate: 2 per hour (Poisson) Number of Servers: 5 What is the overall average arrival rate?