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Exam 25: Waiting-Line Analysis

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Question 41

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A bank of ten 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 6 minutes per machine. What is the average number of machines down with one operator?

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

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

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Question 42

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The cost of having customers wait has to be balanced with the cost of providing service capacity.

A) True
B) False

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Question 43

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The multiple server queuing table cannot be applied to single server systems.

The finite-source queuing model is appropriate when the potential calling population is relatively small.

Queuing models discussed in the text pertain only to stable conditions.Stable conditions exist only when customers arrive at a constant rate; that is,without any variability.

If wait times are too long managers can relegate some customers to lower priority classes.

The following questions refer to this data for a multiple server,priority service queuing model: What is the average number of all items waiting in line for service?

For a server that already has a high utilization ratio,decreasing service capacity will only have a negligible effect on customer waiting time.

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

Studies have shown a difference between the actual time customers spend waiting and their perceived time.

In a single server,exponential service durations,and finite number in system model there are 4 customers in the system three in line and one being served.What is the probability no new customer will join the line? The probability of zero customers in the system is .40,arrival rate is 16 per hour and the service rate is 18 per hour.

When the cost incurred by all customers is not the same,an appropriate queuing model is:

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

Why is there waiting in a queue even if the service capacity exceeds the average demand on the system?

All of the following are characteristics of the waiting line system that affect the choice of the queuing model EXCEPT:

A queuing system has four work stations with three workers to staff each station.To analyze this system,the number of "servers" is:

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 4 minutes per customer and average arrival rate is 36 customers per hour.It is expected that the new bank will have similar characteristics. For how many tellers should the system be designed if the managers want the average time a customer spends in the system to be no more than 5 minutes?

The following questions refer to this data for a multiple server,priority service queuing model: What is average time in the system for a low priority item?

Infinite source queuing models basically apply only to underloaded systems in which waiting lines can form.