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Exam 24: Waiting-Line Models

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Question 41

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Describe the important operating characteristics of a queuing system.

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The operating characteristics usually co...

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Question 42

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The greater the margin by which the arrival rate exceeds the service rate,the better the performance of the waiting line.

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In the M/M/1 waiting line model with an arrival rate of 2 per hour and a service rate of 6 per hour,the utilization factor for the system is approximately 0.333.

A waiting line has a(n)________ population if,as arrivals take place,the likelihood of additional arrivals is decreased.

A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour.What is the probability that the waiting line is empty?

Four of the most widely used waiting line models-M/M/1 or A,M/M/S or B,M/D/1 or C,and Limited population or D-all share three characteristics: Poisson arrivals,FIFO discipline,and exponential service times.

A crew of mechanics at the Highway Department garage repair vehicles which 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?

A single-phase waiting-line system meets the assumptions of constant service time or M/D/1.Units arrive at this system every 10 minutes on average.Service takes a constant 4 minutes.The average length of the queue Lq is

A waiting line meeting the assumptions of M/M/1 has average time between arrivals of 20 minutes and services items in an average of 10 minutes each;the utilization factor is approximately

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

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

Which of the following is not a common queuing situation?

In the basic queuing model (M/M/1) ,arrival rates are distributed by

A small hair styling salon has several operators.While customers do not have appointments,each is waiting to be served by a specific operator.This scenario provides an example of a

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

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

Describe the difference between FIFO and LIFO queue disciplines.

A university has only one technician in the repair station to care for the computers in the student labs.This system is most likely

What are the assumptions underlying the M/M/1 waiting line model? Which of these also hold for the M/D/1 model?

Of the three types of queue discipline,only ________ is assumed by the four primary waiting line models.