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Exam 25: Waiting-Line Models

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Question 41

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Which of the following represents an unlimited queue?

A) drive-through lane at a fast-food restaurant
B) small barbershop with only 5 chairs for waiting customers
C) toll booth serving automobiles on an interstate
D) faculty office with limited seating during office hours
E) restaurant with no outside seating and limited capacity due to fire department restrictions

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Question 42

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A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 5 vehicles per day (approximately Poisson in nature).The mechanic crew can service an average of μ = 10 vehicles per day with a repair time distribution that approximates an exponential distribution. a.What is the probability that the system is empty? b.What is the probability that there is precisely one vehicle in the system? c.What is the probability that there is more than one vehicle in the system? d.What is the probability of 5 or more vehicles in the system?

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(a)P0 = 1 - 5/10 = 0.50; (b)Pn > 1 = (5/...

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Question 43

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A(n)________ queuing system has one waiting line,but several servers;a(n)________ queuing system is one in which the customer receives services from several stations before exiting the system

Which of the following is a measure of queue performance?

Waiting-line models are useful to operations in such diverse settings as service systems,maintenance activities,and shop-floor control.

A hospital emergency room always follows a FIFO queue discipline in the interest of fairness.

Provide an example of a limited or finite population for a queue.

An M/M/1 model and an M/D/1 model each have an arrival rate of 1 per minute and a service rate of 3 per minute;the average queue length of the M/M/1 will be twice that of the M/D/1.

In queuing problems,arrival rates are generally described by the normal probability distribution.

Which of the following is a requirement for application of Little's Law to be valid?

In queuing problems,the term "renege" refers to the fact that some customers leave the queue before service is completed.

The ________ of a waiting line and the probability that the queue is empty add to one.

Study of waiting-line models helps operations managers better understand:

In the finite population waiting line model,the average length of the queue is calculated from the probability the system is empty.

A waiting-line system has three parts: the size of the arrival population,the behavior of arrivals,and the statistical distribution of arrivals.

If the service time within a queuing system is constant,the service rate can be easily described by a negative exponential distribution.

A single-phase waiting-line system meets the assumptions of constant service time or M/D/1.Units arrive at this system every 12 minutes on average.Service takes a constant 8 minutes.What is the average number in the system Ls in units?

A queuing model that follows the M/M/1 assumptions has λ = 10 and μ = 12.What is the average number of units in the system?

The study of waiting lines calculates the cost of providing good service but does not value the cost of customers' waiting time.

A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,what is the probability of fewer than two units in the system?