Question 1

In a constant service time model, both the average queue length and average waiting time are halved.

Accepted Answer

A) True 
 B)False

Question 2

A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. What type of queuing model applies here?

Accepted Answer

A)  M/M/1 
B)  M/M/2 
C)  M/D/2 
D)  M/D/1 
E)  M/G/1 
A)  M/M/1 
B)  M/M/2 
C)  M/D/2 
D)  M/D/1 
E)  M/G/1

Question 3

Little's Flow Equations are applicable for single-channel systems only.

Accepted Answer

A) True 
 B)False

Question 4

If everything else remains constant, including the mean arrival rate and service rate, except that the service time becomes constant instead of exponential,

Accepted Answer

A)  the average queue length will be halved. 
B)  the average waiting time will be doubled. 
C)  the average queue length will be doubled. 
D)  There is not enough information to know what will happen to the queue length and waiting time. 
E)  None of the above 
A)  the average queue length will be halved. 
B)  the average waiting time will be doubled. 
C)  the average queue length will be doubled. 
D)  There is not enough information to know what will happen to the queue length and waiting time. 
E)  None of the above

Question 5

On a practical note - if we are using waiting line analysis to study customers calling a telephone number for service, balking is probably not an issue.

Accepted Answer

A) True 
 B)False

Question 6

Arrivals are random when they are dependent on one another and can be predicted.

Accepted Answer

A) True 
 B)False

Question 7

A vendor selling newspapers on a street corner is an example of a

Accepted Answer

A)  single-channel, multiphase system. 
B)  single-channel, single-phase system. 
C)  multichannel, multiphase system. 
D)  multichannel, single-phase system. 
E)  None of the above 
A)  single-channel, multiphase system. 
B)  single-channel, single-phase system. 
C)  multichannel, multiphase system. 
D)  multichannel, single-phase system. 
E)  None of the above

Question 8

In a single-channel, single-phase system, reducing the service time only reduces the total amount of time spent in the system, not the time spent in the queue.

Accepted Answer

A) True 
 B)False

Question 9

Table 13-5  
-According to the information provided in Table 13-5, which presents the solution for a queuing problem with a constant service rate, on average, how many customers are in the system?

Accepted Answer

A)  0.893 
B)  0.714 
C)  1.607 
D)  0.375 
E)  None of the above 
A)  0.893 
B)  0.714 
C)  1.607 
D)  0.375 
E)  None of the above

Question 10

Service times often follow a Poisson distribution.

Accepted Answer

A) True 
 B)False

Question 11

On a practical note - if we are using waiting line analysis to study cars passing through a single tollbooth, reneging is probably not an issue.

Accepted Answer

A) True 
 B)False

Question 12

A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. How long does the average person spend waiting for a clerk?

Accepted Answer

A)  3.429 minutes 
B)  1.929 minutes 
C)  1.143 minutes 
D)  0.643 minute 
E)  None of the above 
A)  3.429 minutes 
B)  1.929 minutes 
C)  1.143 minutes 
D)  0.643 minute 
E)  None of the above

Question 13

An arrival in a queue that reneges is one who

Accepted Answer

A)  after joining the queue, becomes impatient and leaves. 
B)  refuses to join the queue because it is too long. 
C)  goes through the queue, but never returns. 
D)  jumps from one queue to another, trying to get through as quickly as possible. 
E)  None of the above 
A)  after joining the queue, becomes impatient and leaves. 
B)  refuses to join the queue because it is too long. 
C)  goes through the queue, but never returns. 
D)  jumps from one queue to another, trying to get through as quickly as possible. 
E)  None of the above

Question 14

If we are studying the arrival of automobiles at a highway toll station, we can assume an infinite calling population.

Accepted Answer

A) True 
 B)False

Question 15

The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability the system is empty?

Accepted Answer

A)  1.1500 
B)  1.1658 
C)  .8578 
D)  .8696 
E)  None of the above 
A)  1.1500 
B)  1.1658 
C)  .8578 
D)  .8696 
E)  None of the above

Question 16

When looking at the arrivals at the ticket counter of a movie theater, we can assume an unlimited queue.

Accepted Answer

A) True 
 B)False

Question 17

Table 13-3  
-According to the information provided in Table 13-3, which presents a queuing problem solution, on average, how long does each customer spend waiting in line?

Accepted Answer

A)  0.333 minute 
B)  0.889 minute 
C)  0.222 minute 
D)  0.722 minute 
E)  0.111 minute 
A)  0.333 minute 
B)  0.889 minute 
C)  0.222 minute 
D)  0.722 minute 
E)  0.111 minute

Question 18

The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average number of fax machines in the system?

Accepted Answer

A)  .0142 fax machine 
B) .1563 fax machine 
C)  .0249 fax machine 
D) .2749 fax machine 
E)  None of the above 
A)  .0142 fax machine 
B) .1563 fax machine 
C)  .0249 fax machine 
D) .2749 fax machine 
E)  None of the above

Question 19

A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What is the average length of the line?

Accepted Answer

A)  3.429 
B)  1.929 
C)  1.143 
D)  0.643 
E)  None of the above 
A)  3.429 
B)  1.929 
C)  1.143 
D)  0.643 
E)  None of the above

Question 20

In queuing theory, the calling population is another name for ________.

Accepted Answer

A)  the queue size 
B)  the servers 
C)  the arrivals 
D)  the service rate 
E)  the market researchers 
A)  the queue size 
B)  the servers 
C)  the arrivals 
D)  the service rate 
E)  the market researchers

In a constant service time model, both the average queue length and average waiting time are halved.

Little's Flow Equations are applicable for single-channel systems only.

If everything else remains constant, including the mean arrival rate and service rate, except that the service time becomes constant instead of exponential,

On a practical note - if we are using waiting line analysis to study customers calling a telephone number for service, balking is probably not an issue.

Arrivals are random when they are dependent on one another and can be predicted.

A vendor selling newspapers on a street corner is an example of a

In a single-channel, single-phase system, reducing the service time only reduces the total amount of time spent in the system, not the time spent in the queue.

Table 13-5 -According to the information provided in Table 13-5, which presents the solution for a queuing problem with a constant service rate, on average, how many customers are in the system?

Service times often follow a Poisson distribution.

On a practical note - if we are using waiting line analysis to study cars passing through a single tollbooth, reneging is probably not an issue.

An arrival in a queue that reneges is one who

If we are studying the arrival of automobiles at a highway toll station, we can assume an infinite calling population.

The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability the system is empty?

When looking at the arrivals at the ticket counter of a movie theater, we can assume an unlimited queue.

Table 13-3 -According to the information provided in Table 13-3, which presents a queuing problem solution, on average, how long does each customer spend waiting in line?

In queuing theory, the calling population is another name for ________.

Introduction to Quantitative Analysis

Probability Concepts and Applications

Decision Analysis

Regression Models

Forecasting

Inventory Control Models

Linear Programming Models: Graphical and Computer Methods

Linear Programming Applications

Transportation and Assignment Models

Integer Programming, Goal Programming, and Nonlinear Programming

Network Models

Project Management

Simulation Modeling

Markov Analysis

Statistical Quality Control

Filters

Exam 13: Waiting Lines and Queuing Theory Models

In a constant service time model, both the average queue length and average waiting time are halved.

Little's Flow Equations are applicable for single-channel systems only.

If everything else remains constant, including the mean arrival rate and service rate, except that the service time becomes constant instead of exponential,

On a practical note - if we are using waiting line analysis to study customers calling a telephone number for service, balking is probably not an issue.

Arrivals are random when they are dependent on one another and can be predicted.

A vendor selling newspapers on a street corner is an example of a

In a single-channel, single-phase system, reducing the service time only reduces the total amount of time spent in the system, not the time spent in the queue.

Table 13-5 -According to the information provided in Table 13-5, which presents the solution for a queuing problem with a constant service rate, on average, how many customers are in the system?

Service times often follow a Poisson distribution.

On a practical note - if we are using waiting line analysis to study cars passing through a single tollbooth, reneging is probably not an issue.

An arrival in a queue that reneges is one who

If we are studying the arrival of automobiles at a highway toll station, we can assume an infinite calling population.

The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability the system is empty?

When looking at the arrivals at the ticket counter of a movie theater, we can assume an unlimited queue.

Table 13-3 -According to the information provided in Table 13-3, which presents a queuing problem solution, on average, how long does each customer spend waiting in line?

In queuing theory, the calling population is another name for ________.

Introduction to Quantitative Analysis

Probability Concepts and Applications

Decision Analysis

Regression Models

Forecasting

Inventory Control Models

Linear Programming Models: Graphical and Computer Methods

Linear Programming Applications

Transportation and Assignment Models

Integer Programming, Goal Programming, and Nonlinear Programming

Network Models

Project Management

Simulation Modeling

Markov Analysis

Statistical Quality Control

Filters