Question 1

In the basic queuing model (M/M/1),what probability distribution describes arrival rates?

Accepted Answer

A) continuous 
B) normal 
C) negative exponential 
D) Poisson 
E) lognormal 
A) continuous 
B) normal 
C) negative exponential 
D) Poisson 
E) lognormal

Question 2

Which of the following is most likely to violate a FIFO queue?

Accepted Answer

A) supermarket with no express lanes 
B) car repair garage 
C) emergency room 
D) fast-food restaurant 
E) All of the above are equally likely to violate a FIFO queue. 
A) supermarket with no express lanes 
B) car repair garage 
C) emergency room 
D) fast-food restaurant 
E) All of the above are equally likely to violate a FIFO queue.

Question 3

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7.5 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 utilization rate for this service system?
b.What is the average time before the facility can return a breakdown to service?
c.How much of that time is spent waiting for service?
d.How many vehicles are likely to be in the system at any one time?

Accepted Answer

(a)Utilization is 7.5 / 10 = .

Question 4

A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3.What is the average number of units in the system?

Accepted Answer

A) 2/3 
B) 1 
C) 1.5 
D) 2 
E) 6 
A) 2/3 
B) 1 
C) 1.5 
D) 2 
E) 6

Question 5

What costs are present in waiting line analysis? How do these costs vary with the level of service?

Accepted Answer

The costs are the cost of providing serv

Question 6

A finite population waiting line model with a single server has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes.Calculate the service factor X.If the population consists of 5 elements,what are the average number waiting,the average number being serviced,and the average number running? Refer to Table D.8.

Accepted Answer

The service factor is X = T / (T + U)= 2

Question 7

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

Accepted Answer

The answer of A waiting line has a(n)________ population if,as...

Question 8

A concert hall,employing both ticket takers and ushers to seat patrons,behaves typically as which of the following?

Accepted Answer

A) multiple-server,single-phase system 
B) multiple-server,multiphase system 
C) single-server,single-phase system 
D) single-server,multiphase system 
E) multiple-server,cross-phase system 
A) multiple-server,single-phase system 
B) multiple-server,multiphase system 
C) single-server,single-phase system 
D) single-server,multiphase system 
E) multiple-server,cross-phase system

Question 9

Which one of the following is NOT a characteristic of a Model B or M/M/S system?

Accepted Answer

A) unlimited population size 
B) single server 
C) exponential service time pattern 
D) single phase 
E) Poisson arrival rate pattern 
A) unlimited population size 
B) single server 
C) exponential service time pattern 
D) single phase 
E) Poisson arrival rate pattern

Question 10

A finite population waiting line model with a single server has an average service time T of 50 minutes and an average time between service requirements U of 350 minutes.Calculate the service factor X.If the population consists of 5 elements,what are the average number waiting,the average number being serviced,and the average number running? Refer to Table D.8.

Accepted Answer

The service factor is X = T / (T + U)= 5

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

In a finite or limited population waiting line,the ________ is calculated from the average service time and average time between service requirements before the problem can be completed.

Accepted Answer

The answer of In a finite or limited population waiting...

Question 13

What are the components in a waiting-line system?

Accepted Answer

The components of a waiting-li

Question 14

In queuing problems,which of the following probability distributions is typically used to describe the time to perform the service?

Accepted Answer

A) binomial 
B) normal 
C) Poisson 
D) negative exponential 
E) lognormal 
A) binomial 
B) normal 
C) Poisson 
D) negative exponential 
E) lognormal

Question 15

In queuing problems,which of the following probability distributions is typically used to describe the number of arrivals per unit of time?

Accepted Answer

A) binomial 
B) normal 
C) Poisson 
D) exponential 
E) lognormal 
A) binomial 
B) normal 
C) Poisson 
D) exponential 
E) lognormal

Question 16

A(n)________ queuing system is one in which the customer receives service from only one station and then exits the system.

Accepted Answer

The answer of A(n)________ queuing system is one in which...

Question 17

Which of the following is an example of a finite arrival population?

Accepted Answer

A) copy machines in a copying shop that break down 
B) students at a large university registering for classes 
C) shoppers arriving at a supermarket 
D) cars arriving at a suburban car wash 
E) all of the above 
A) copy machines in a copying shop that break down 
B) students at a large university registering for classes 
C) shoppers arriving at a supermarket 
D) cars arriving at a suburban car wash 
E) all of the above

Question 18

What does it mean to have a patient customer in a waiting line?

Accepted Answer

A patient customer is one who

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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 length of the queue Lq in units?

Accepted Answer

A) 0.67 
B) 2.5 
C) 4.5 
D) 5.0 
E) 7.5 
A) 0.67 
B) 2.5 
C) 4.5 
D) 5.0 
E) 7.5

Exam 25: Queuing Models

In the basic queuing model (M/M/1),what probability distribution describes arrival rates?

Which of the following is most likely to violate a FIFO queue?

A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3.What is the average number of units in the system?

What costs are present in waiting line analysis? How do these costs vary with the level of service?

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

A concert hall,employing both ticket takers and ushers to seat patrons,behaves typically as which of the following?

Which one of the following is NOT a characteristic of a Model B or M/M/S system?

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

In a finite or limited population waiting line,the ________ is calculated from the average service time and average time between service requirements before the problem can be completed.

What are the components in a waiting-line system?

In queuing problems,which of the following probability distributions is typically used to describe the time to perform the service?

In queuing problems,which of the following probability distributions is typically used to describe the number of arrivals per unit of time?

A(n)________ queuing system is one in which the customer receives service from only one station and then exits the system.

Which of the following is an example of a finite arrival population?

What does it mean to have a patient customer in a waiting line?

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

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 length of the queue Lq in units?

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