Question 1

The main reason that a large number of replications of a simulation would be made is:

Accepted Answer

A)  computers are usually used, and they can easily handle a large number of replications. 
B)  it is part of the scientific approach. 
C)  it is a form of sampling, and large samples give more accurate results than small samples. 
D)  it is more likely to provide optimal answers. 
E)  None of the answer choices is correct. 
A)  computers are usually used, and they can easily handle a large number of replications. 
B)  it is part of the scientific approach. 
C)  it is a form of sampling, and large samples give more accurate results than small samples. 
D)  it is more likely to provide optimal answers. 
E)  None of the answer choices is correct. C

Question 2

Note: This question requires the use of the Queueing Simulator spreadsheet in Excel. Use the queueing simulator to simulate a queueing system with 2 servers, exponential interarrival times with a mean of 20 seconds and constant service times of 35 seconds. Use a simulation run length of 10,000 arrivals. What is the point estimate for the average number of customers in the system?

Accepted Answer

A)  2 customers 
B)  4 customers 
C)  8 customers 
D)  9 customers 
E)  10 customers 
A)  2 customers 
B)  4 customers 
C)  8 customers 
D)  9 customers 
E)  10 customers B

Question 3

One purpose of running experiments on a simulation model is to answer "what-if" questions.

Accepted Answer

A) True 
 B)False  True

Question 4

The Queueing Simulator returned the results shown below for a system with 2 servers. Which of the following is most likely to occur?

Accepted Answer

A)  A queue waiting time of 40 seconds. 
B)  A total time in system of 80 seconds. 
C)  A queue length of 5 customers. 
D)  A total of 5 customers in the system. 
E)  All are equally likely. 
A)  A queue waiting time of 40 seconds. 
B)  A total time in system of 80 seconds. 
C)  A queue length of 5 customers. 
D)  A total of 5 customers in the system. 
E)  All are equally likely.

Question 5

After reviewing past history, you have assembled the following table showing the frequency of certain levels of sales over the past 40 months. If the smallest random number used to represent sales of 200 units is 0.45, what will be the largest number used to represent sales of 200 units?
$$\begin{array} { | c | r | l | } 
\hline \text { Sales (units) } & \text { Frequency } & \text { Corregonding Randam Numbers } \
\hline 100 & 12 & \
\hline 150 & 6 & \
\hline 200 & 8 & 0.45 \leq x < ? ? \
\hline 250 & 4 & \
\hline 300 & 10 & \
\hline
\end{array}$$

Accepted Answer

A)  0.1000 
B)  0.3000 
C)  0.5000 
D)  0.6500 
E)  0.9000 
A)  0.1000 
B)  0.3000 
C)  0.5000 
D)  0.6500 
E)  0.9000

Question 6

If a simulation begins with the first random number, the third simulated value would be:
Random numbers: 0.6246, 0.2594, 0.4055
$$\begin{array} { | c | c | } 
\hline \text { Demand } & \text { Frequency } \
\hline 0 & 0.15 \
\hline 1 & 0.30 \
\hline 2 & 0.25 \
\hline 3 & 0.15 \
\hline 4 & 0.15 \
\hline
\end{array}$$

Accepted Answer

A)  0. 
B)  1. 
C)  2. 
D)  3. 
E)  4. 
A)  0. 
B)  1. 
C)  2. 
D)  3. 
E)  4.

Question 7

Simulation will often give measures of performance as outputs.

Accepted Answer

A) True 
 B)False

Question 8

The Queueing Simulator returned the results shown below for a system with 3 servers. If the firm would like their waiting room to be full no more than 2% of the time, how large must their waiting room be?

Accepted Answer

A)  4 customers 
B)  5 customers 
C)  6 customers 
D)  7 customers 
E)  8 customers 
A)  4 customers 
B)  5 customers 
C)  6 customers 
D)  7 customers 
E)  8 customers

Question 9

Computer simulation is only applicable to situations that have elements that can be described by random variables

Accepted Answer

A) True 
 B)False

Question 10

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

Accepted Answer

A)  = (60 − 20) × RAND() 
B)  = (60 + 20) × RAND() 
C)  = 20 + (60 − 20) × RAND() 
D)  = 60 + (60 − 20) × RAND() 
E)  = 20 + (60 + 20) × RAND() 
A)  = (60 − 20) × RAND() 
B)  = (60 + 20) × RAND() 
C)  = 20 + (60 − 20) × RAND() 
D)  = 60 + (60 − 20) × RAND() 
E)  = 20 + (60 + 20) × RAND()

Question 11

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

Accepted Answer

A)  = (12 − 5 ) × RAND(). 
B)  = (12 + 5 ) × RAND(). 
C)  = 5 + (12 + 5 ) × RAND(). 
D)  = 12 + (12 − 5 ) × RAND(). 
E)  = 5 + (12 − 5 ) × RAND(). 
A)  = (12 − 5 ) × RAND(). 
B)  = (12 + 5 ) × RAND(). 
C)  = 5 + (12 + 5 ) × RAND(). 
D)  = 12 + (12 − 5 ) × RAND(). 
E)  = 5 + (12 − 5 ) × RAND().

Question 12

The main procedure for advancing the time on the simulation clock is called next-event time advance.

Accepted Answer

A) True 
 B)False

Question 13

A flow diagram shows the output of a simulation run.

Accepted Answer

A) True 
 B)False

Question 14

After reviewing past history, you have assembled the following table showing the frequency of certain levels of sales over the past 40 months. If the smallest random number used to represent sales of 100 units is 0, what will be the largest number used to represent sales of 100 units?
$$\begin{array} { | c | r | c | } 
\hline \text { Sales (units) } & \text { Frequency } & \text { Carrespmeming Random Numbers } \
\hline 100 & 12 & 0 \leq x < ? \text { ? } \
\hline 150 & 6 & \
\hline 200 & 8 & \
\hline 250 & 4 & \
\hline 300 & 10 & \
\hline
\end{array}$$

Accepted Answer

A)  0.1000 
B)  0.3000 
C)  0.5000 
D)  0.7500 
E)  0.9000 
A)  0.1000 
B)  0.3000 
C)  0.5000 
D)  0.7500 
E)  0.9000

Question 15

Analytical methods are preferable to simulation if an appropriate analytic method is available.

Accepted Answer

A) True 
 B)False

Question 16

Managers can use simulation to obtain optimal answers for a wide range of problems.

Accepted Answer

A) True 
 B)False

Question 17

Random observations can be generated in Excel by using the VLOOKUP function.

Accepted Answer

A) True 
 B)False

Question 18

Note: This question requires the use of the Queueing Simulator spreadsheet in Excel. Use the queueing simulator to simulate a queueing system with 2 servers, exponential interarrival times with a mean of 20 seconds and constant service times of 35 seconds. Use a simulation run length of 10,000 arrivals. If you observe the system at a random time, what is the probability that there will be 3 or more customers waiting in line?

Accepted Answer

A)  0.2 
B)  0.4 
C)  0.7 
D)  0.9 
E)  0.99 
A)  0.2 
B)  0.4 
C)  0.7 
D)  0.9 
E)  0.99

Question 19

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. The first random number your simulation returns is 0.2154. What is the waiting time that this random number generates?

Accepted Answer

A)  5 minutes 
B)  6.5 minutes 
C)  7.5 minutes 
D)  10 minutes 
E)  11 minutes 
A)  5 minutes 
B)  6.5 minutes 
C)  7.5 minutes 
D)  10 minutes 
E)  11 minutes

Question 20

Note: This question requires the use of the Queueing Simulator spreadsheet in Excel. Use the queueing simulator to simulate a queueing system with 3 servers, uniform interarrival times between 20 and 50 seconds and exponential service times with an average of 75 seconds. Use a simulation run length of 10,000 arrivals. What is the point estimate for the total amount of time a customer will spend in the system?

Accepted Answer

A)  75 seconds 
B)  90 seconds 
C)  105 seconds 
D)  120 seconds 
E)  135 seconds 
A)  75 seconds 
B)  90 seconds 
C)  105 seconds 
D)  120 seconds 
E)  135 seconds

The main reason that a large number of replications of a simulation would be made is:

One purpose of running experiments on a simulation model is to answer "what-if" questions.

The Queueing Simulator returned the results shown below for a system with 2 servers. Which of the following is most likely to occur?

If a simulation begins with the first random number, the third simulated value would be: Random numbers: 0.6246, 0.2594, 0.4055 Demand Frequency 0 0.15 1 0.30 2 0.25 3 0.15 4 0.15

Simulation will often give measures of performance as outputs.

The Queueing Simulator returned the results shown below for a system with 3 servers. If the firm would like their waiting room to be full no more than 2% of the time, how large must their waiting room be?

Computer simulation is only applicable to situations that have elements that can be described by random variables

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

The main procedure for advancing the time on the simulation clock is called next-event time advance.

A flow diagram shows the output of a simulation run.

Analytical methods are preferable to simulation if an appropriate analytic method is available.

Managers can use simulation to obtain optimal answers for a wide range of problems.

Random observations can be generated in Excel by using the VLOOKUP function.

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. The first random number your simulation returns is 0.2154. What is the waiting time that this random number generates?

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Using Binary Integer Programming to Deal With Yes-Or-No Decisions

Nonlinear Programming

Decision Analysis

Forecasting

Queueing Models

Computer Simulation With Analytic Solver

Filters

Exam 12: Computer Simulation: Basic Concepts

The main reason that a large number of replications of a simulation would be made is:

One purpose of running experiments on a simulation model is to answer "what-if" questions.

The Queueing Simulator returned the results shown below for a system with 2 servers. Which of the following is most likely to occur?

If a simulation begins with the first random number, the third simulated value would be: Random numbers: 0.6246, 0.2594, 0.4055 Demand Frequency 0 0.15 1 0.30 2 0.25 3 0.15 4 0.15

Simulation will often give measures of performance as outputs.

The Queueing Simulator returned the results shown below for a system with 3 servers. If the firm would like their waiting room to be full no more than 2% of the time, how large must their waiting room be?

Computer simulation is only applicable to situations that have elements that can be described by random variables

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. What formula would you use in Excel to generate random values in this range that follow the uniform distribution?

The main procedure for advancing the time on the simulation clock is called next-event time advance.

A flow diagram shows the output of a simulation run.

Analytical methods are preferable to simulation if an appropriate analytic method is available.

Managers can use simulation to obtain optimal answers for a wide range of problems.

Random observations can be generated in Excel by using the VLOOKUP function.

You have determined that waiting times at a restaurant are uniformly distributed over the interval 5 to 12 minutes. The first random number your simulation returns is 0.2154. What is the waiting time that this random number generates?

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Using Binary Integer Programming to Deal With Yes-Or-No Decisions

Nonlinear Programming

Decision Analysis

Forecasting

Queueing Models

Computer Simulation With Analytic Solver

Filters