Question 1

Little's Law concepts are applicable to all queueing models presented by the authors except the finite calling population situation.

Accepted Answer

A) True 
 B)False

Question 2

Thanks to a generous and eccentric donor, 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 
A) .0142 fax machine 
B) .1563 fax machine 
C) .0249 fax machine 
D) .2749 fax machine

Question 3

Thanks to a generous and eccentric donor, 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 that none of the fax machines need toner?

Accepted Answer

A) 1.1500 
B) 1.1658 
C) .8578 
D) .7696 
A) 1.1500 
B) 1.1658 
C) .8578 
D) .7696

Question 4

Table 12-5
  
-According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, the probability that the server is idle is

Accepted Answer

A) 0.217. 
B) 0.643. 
C) 0.286. 
D) 0.714. 
A) 0.217. 
B) 0.643. 
C) 0.286. 
D) 0.714.

Question 5

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 that 2 fax machines need toner at the same time?

Accepted Answer

A) .8576 
B) .1286 
C) .0129 
D) .1415 
A) .8576 
B) .1286 
C) .0129 
D) .1415

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

Customers arrive at their friendly DMV at a rate of 45 people per hour.There are four servers that can process customers at an average of 3 minutes.
(a)What is the average wait time?
(b)What is the average number of customers waiting?
(c)What is the average number of customers in the DMV?

Accepted Answer

(a)Wq = 0.01 hours =

Question 8

What is meant by a single-phase system?

Accepted Answer

Arrivals leave the s

Question 9

Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school.Sam can vaccinate a dog every 3 minutes.It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution.Also assume that Sam's vaccinating times are exponentially distributed.
(a)Find the probability that Sam is idle.
(b)Find the proportion of time that Sam is busy.
(c)Find the average number of dogs receiving or waiting to be vaccinated.
(d)Find the average number of dogs waiting to be vaccinated.
(e)Find the average time a dog waits before getting vaccinated.
(f)Find the average amount (mean)of time a dog spends between waiting in line and getting vaccinated.

Accepted Answer

(a)Po = 0.5 (b)ρ = 0

Question 10

At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes an average of 2 minutes to serve each arrival.The utilization factor for this system is

Accepted Answer

A) 0.467. 
B) 0.547. 
C) 0.800. 
D) 0.133. 
A) 0.467. 
B) 0.547. 
C) 0.800. 
D) 0.133.

Question 11

Cars arrive at a parking lot entrance at the rate of 20 per hour.The average time to get a ticket and proceed to a parking space is two minutes.There are two lot attendants at the current time.The Poisson and exponential distribution appear to be relevant in this situation.
(a)What is the probability that an approaching auto must wait?
(b)What is the average waiting time?
(c)What is the average number of autos waiting to enter the garage?

Accepted Answer

(a)Po = 0.50 (b)Wq =

Question 12

A professor holds office hours during final exam week and discovers much to his dismay that his sudden popularity affords him little time to engage in his favorite activity, watching cat videos.Fifteen students per hour arrive at his office and he patiently answers questions, averaging three minutes per student.On average, how long must a student wait in line to get their last-minute questions answered?

Accepted Answer

A) 3 minutes 
B) 6 minutes 
C) 9 minutes 
D) 12 minutes 
A) 3 minutes 
B) 6 minutes 
C) 9 minutes 
D) 12 minutes

Question 13

Most systems use a queue discipline known as

Accepted Answer

A) shortest processing time. 
B) longest processing time. 
C) FIFO. 
D) earliest due date. 
A) shortest processing time. 
B) longest processing time. 
C) FIFO. 
D) earliest due date.

Question 14

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. 
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.

Question 15

A transient state is the normal operating condition of the queuing system.

Accepted Answer

A) True 
 B)False

Question 16

The three major characteristics of the input source that generates arrivals or customers for the service system are

Accepted Answer

A) size, demographics, and behavior. 
B) size, pattern, and behavior. 
C) demographics, pattern, and behavior. 
D) size, demographics, and pattern. 
A) size, demographics, and behavior. 
B) size, pattern, and behavior. 
C) demographics, pattern, and behavior. 
D) size, demographics, and pattern.

Question 17

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. 
A) the queue size. 
B) the servers. 
C) the arrivals. 
D) the service rate.

Question 18

What is meant by a multiphase system?

Accepted Answer

Service is provided

Question 19

Little's Flow Equations are advantageous because if one characteristic of the operating system is known, the other characteristics can be easily found.

Accepted Answer

A) True 
 B)False

Question 20

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

Little's Law concepts are applicable to all queueing models presented by the authors except the finite calling population situation.

Table 12-5 -According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, the probability that the server is idle is

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

Customers arrive at their friendly DMV at a rate of 45 people per hour.There are four servers that can process customers at an average of 3 minutes. (a)What is the average wait time? (b)What is the average number of customers waiting? (c)What is the average number of customers in the DMV?

What is meant by a single-phase system?

At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes an average of 2 minutes to serve each arrival.The utilization factor for this system is

Most systems use a queue discipline known as

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

A transient state is the normal operating condition of the queuing system.

The three major characteristics of the input source that generates arrivals or customers for the service system are

In queuing theory, the calling population is another name for

What is meant by a multiphase system?

Little's Flow Equations are advantageous because if one characteristic of the operating system is known, the other characteristics can be easily found.

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.

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, Assignment, and Network Models

Integer Programming, Goal Programming, and Nonlinear Programming

Project Management

Simulation Modeling

Markov Analysis

Statistical Quality Control

Analytic Hierarchy Process

Dynamic Programming

Decision Theory and the Normal Distribution

Game Theory

Mathematical Tools: Determinants and Matrices

Calculus-Based Optimization

Linear Programming: The Simplex Method

Transportation, Assignment, and Network Algorithms

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Exam 12: Waiting Lines and Queuing Theory Models

Little's Law concepts are applicable to all queueing models presented by the authors except the finite calling population situation.

Table 12-5 -According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, the probability that the server is idle is

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

Customers arrive at their friendly DMV at a rate of 45 people per hour.There are four servers that can process customers at an average of 3 minutes. (a)What is the average wait time? (b)What is the average number of customers waiting? (c)What is the average number of customers in the DMV?

What is meant by a single-phase system?

At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes an average of 2 minutes to serve each arrival.The utilization factor for this system is

Most systems use a queue discipline known as

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

A transient state is the normal operating condition of the queuing system.

The three major characteristics of the input source that generates arrivals or customers for the service system are

In queuing theory, the calling population is another name for

What is meant by a multiphase system?

Little's Flow Equations are advantageous because if one characteristic of the operating system is known, the other characteristics can be easily found.

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.

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, Assignment, and Network Models

Integer Programming, Goal Programming, and Nonlinear Programming

Project Management

Simulation Modeling

Markov Analysis

Statistical Quality Control

Analytic Hierarchy Process

Dynamic Programming

Decision Theory and the Normal Distribution

Game Theory

Mathematical Tools: Determinants and Matrices

Calculus-Based Optimization

Linear Programming: The Simplex Method

Transportation, Assignment, and Network Algorithms

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