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Exam 18: A: Waiting-Line Analysis

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Question 21

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A single server 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 average 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 D)
G) C) and E)

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Question 22

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In an infinite source model,the average time in line is equal to the average number of customers in line divided by the average arrival rate.

A) True
B) False

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Question 23

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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:

Waiting lines occur even in underloaded systems because of variability in service rates and/or arrival rates.

A major difference between the finite and infinite source queuing models is that the customer arrival rate in a finite situation is dependent on the length of the waiting line.

Having separate lines for customers that are heterogeneous (different needs)can reduce the variability of service times.

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.

What is the average number of machines down with one operator?

Which of the following is not generally considered as a measure of system performance in queuing analysis?

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

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

A manager assembled the following information about an infinite source waiting line system: 5 servers,an arrival rate of 6 per hour,and a service time of 20 minutes.The manager has determined that the average number of customers waiting for service is .04.Determine each of the following: (i)the server utilization (ii)the average waiting time in line in minutes (iii)the average time in the system (iv)the average number in the system

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

Typically customers will perceive waiting times to be less if the line continues to move.

A multiple server system assumes that each server will have its own waiting line.

A department has 5 semiautomatic pieces of equipment which operate for an average of 79 minutes before they must be reloaded.The reloading operation takes an average of 21 minutes per machine.Assume exponential distributions. (i)What is the minimum number of servers needed to keep the average downtime per cycle to less than 25 minutes? (ii)If 1 server is used,what percentage of time will the machine be down?

The term "queue discipline" refers to:

A multiple server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 4 customers per hour and an average service time of 18 minutes per customer.The minimum number of servers required to avoid an overloaded system is:

Compared to a single server system with exponential service time,the same system with a constant service time will have an average of one-half the number of customers waiting in the system.

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