Question 1

The Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

Accepted Answer

A)  60 seconds 
B)  80 seconds 
C)  90 seconds 
D)  100 seconds 
E)  120 seconds 
A)  60 seconds 
B)  80 seconds 
C)  90 seconds 
D)  100 seconds 
E)  120 seconds

Question 2

After some experimentation, you have determined that you have a biased coin. The probability of heads is 0.6 and the probability of tails is 0.4. What is the probability that you will observed heads on three successive flips?

Accepted Answer

A)  0.6 
B)  0.36 
C)  0.24 
D)  0.216 
E)  0.096 
A)  0.6 
B)  0.36 
C)  0.24 
D)  0.216 
E)  0.096

Question 3

You are reviewing a simulation model and find that the analyst who prepared the model used the formula = 100 + (175 − 100) × RAND() to generate the simulated selling price of a product. Which of the following assumptions did the analyst make about the selling price of the product?
I. The minimum price of the product is 175.
II. The maximum price of the product is 175.
III. The cost of the product is normally distributed.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I and II only 
E)  I and III only 
A)  I only 
B)  II only 
C)  III only 
D)  I and II only 
E)  I and III only

Question 4

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. The first random number your simulation returns is 0.4732. What is the waiting time that this random number generates?

Accepted Answer

A)  38.928 seconds 
B)  48.928 seconds 
C)  68.928 seconds 
D)  78.928 seconds 
E)  88.928 seconds 
A)  38.928 seconds 
B)  48.928 seconds 
C)  68.928 seconds 
D)  78.928 seconds 
E)  88.928 seconds

Question 5

Given this frequency distribution, the random number 0.2258 would be interpreted as a demand of:
$$\begin{array} { | c | c | } 
\hline \text { Demand } & \text { Frequency } \
\hline 0 & 38 \
\hline 1 & 22 \
\hline 2 & 22 \
\hline 3 & 18 \
\hline
\end{array}$$

Accepted Answer

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

Question 6

A stochastic system is one that evolved over time according to a continuous probability distribution.

Accepted Answer

A) True 
 B)False

Question 7

Over the course of an eight hour day, a business normally has about 200 customers arrive. Assuming that the customers arrive at about the same rate over the entire day, what is the interarrival time?

Accepted Answer

A)  1.2 minutes 
B)  2.0 minutes 
C)  2.4 minutes 
D)  3.0 minutes 
E)  3.6 minutes 
A)  1.2 minutes 
B)  2.0 minutes 
C)  2.4 minutes 
D)  3.0 minutes 
E)  3.6 minutes

Question 8

Which of the following is NOT a step in the process of conducting a simulation study?

Accepted Answer

A)  Collect the data and formulate the simulation model. 
B)  Check the accuracy of the simulation model. 
C)  Plan the simulations to be performed. 
D)  Present recommendations to management. 
E)  All of the answers choices are steps in the simulation process. 
A)  Collect the data and formulate the simulation model. 
B)  Check the accuracy of the simulation model. 
C)  Plan the simulations to be performed. 
D)  Present recommendations to management. 
E)  All of the answers choices are steps in the simulation process.

Question 9

One key advantage of computer simulation is that is makes full use of the simplifying approximations that are available.

Accepted Answer

A) True 
 B)False

Question 10

Customers arrive at a carwash with on average once every 20 minutes. It seems likely that customer arrivals follow an exponential distribution. In a simulation, the random number 0.1398 is generated. How long it will be until the next simulated arrival occurs?

Accepted Answer

A)  49.35 minutes 
B)  39.35 minutes 
C)  29.35 minutes 
D)  19.35 minutes 
E)  9.35 minutes 
A)  49.35 minutes 
B)  39.35 minutes 
C)  29.35 minutes 
D)  19.35 minutes 
E)  9.35 minutes

Question 11

Simulation is often the first choice of decision makers instead of analytic models.

Accepted Answer

A) True 
 B)False

Question 12

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, what formula would you use to estimate how long the next service will take?

Accepted Answer

A)  = 40 + (40 − 0) × RAND() 
B)  = NORM.INV(RAND(),40,4) 
C)  = NORM.INV(RAND(),40,0) 
D)  = − 40 × LN(RAND()) 
E)  = 40 × LN(RAND()) 
A)  = 40 + (40 − 0) × RAND() 
B)  = NORM.INV(RAND(),40,4) 
C)  = NORM.INV(RAND(),40,0) 
D)  = − 40 × LN(RAND()) 
E)  = 40 × LN(RAND())

Question 13

Simulation enables a decision maker to experiment with a system and observe its behavior.

Accepted Answer

A) True 
 B)False

Question 14

The Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

Accepted Answer

A)  10.0 seconds 
B)  12.0 seconds 
C)  15.0 seconds 
D)  18.0 seconds 
E)  20.0 seconds 
A)  10.0 seconds 
B)  12.0 seconds 
C)  15.0 seconds 
D)  18.0 seconds 
E)  20.0 seconds

Question 15

If a simulation begins with the first random number, the first 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 16

When dealing with relatively complex systems, computer simulation is an inexpensive option for decision makers.

Accepted Answer

A) True 
 B)False

Question 17

In order to generate more accurate results when using simulation:

Accepted Answer

A)  use a continuous distribution instead of a discreet distribution. 
B)  increase the number of replications. 
C)  increase the number of factors considered. 
D)  All of the answers choices are correct. 
E)  None of the answer choices is correct. 
A)  use a continuous distribution instead of a discreet distribution. 
B)  increase the number of replications. 
C)  increase the number of factors considered. 
D)  All of the answers choices are correct. 
E)  None of the answer choices is correct.

Question 18

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, the random number 0.7588 is generated. How long it will be until the next simulated arrival occurs?

Accepted Answer

A)  1 minute 
B)  6 minutes 
C)  11 minutes 
D)  16 minutes 
E)  21 minutes 
A)  1 minute 
B)  6 minutes 
C)  11 minutes 
D)  16 minutes 
E)  21 minutes

Question 19

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. If you observe the system at a random time, what is the probability that there will be 4 or more customers waiting in line?

Accepted Answer

A)  0.2 
B)  0.4 
C)  0.6 
D)  0.8 
E)  0.9 
A)  0.2 
B)  0.4 
C)  0.6 
D)  0.8 
E)  0.9

Question 20

You are reviewing a simulation model and find that the analyst who prepared the model used the formula =NORM.INV(RAND(),100,5) to generate the waiting time at a restaurant (in seconds). Which of the following assumptions did the analyst make about the waiting time?
I. The minimum waiting time is 100.
II. The average (mean) waiting time is 100.
III. The waiting time is normally distributed.

Accepted Answer

A)  I only 
B)  II only 
C)  III only 
D)  I and II only 
E)  II and III only 
A)  I only 
B)  II only 
C)  III only 
D)  I and II only 
E)  II and III only

The Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

After some experimentation, you have determined that you have a biased coin. The probability of heads is 0.6 and the probability of tails is 0.4. What is the probability that you will observed heads on three successive flips?

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. The first random number your simulation returns is 0.4732. What is the waiting time that this random number generates?

Given this frequency distribution, the random number 0.2258 would be interpreted as a demand of: Demand Frequency 0 38 1 22 2 22 3 18

A stochastic system is one that evolved over time according to a continuous probability distribution.

Over the course of an eight hour day, a business normally has about 200 customers arrive. Assuming that the customers arrive at about the same rate over the entire day, what is the interarrival time?

Which of the following is NOT a step in the process of conducting a simulation study?

One key advantage of computer simulation is that is makes full use of the simplifying approximations that are available.

Customers arrive at a carwash with on average once every 20 minutes. It seems likely that customer arrivals follow an exponential distribution. In a simulation, the random number 0.1398 is generated. How long it will be until the next simulated arrival occurs?

Simulation is often the first choice of decision makers instead of analytic models.

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, what formula would you use to estimate how long the next service will take?

Simulation enables a decision maker to experiment with a system and observe its behavior.

The Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

If a simulation begins with the first random number, the first 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

When dealing with relatively complex systems, computer simulation is an inexpensive option for decision makers.

In order to generate more accurate results when using simulation:

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, the random number 0.7588 is generated. How long it will be until the next simulated arrival occurs?

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 Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

After some experimentation, you have determined that you have a biased coin. The probability of heads is 0.6 and the probability of tails is 0.4. What is the probability that you will observed heads on three successive flips?

You have determined that waiting times at a toll booth are uniformly distributed over the interval 20 to 60 seconds. The first random number your simulation returns is 0.4732. What is the waiting time that this random number generates?

Given this frequency distribution, the random number 0.2258 would be interpreted as a demand of: Demand Frequency 0 38 1 22 2 22 3 18

A stochastic system is one that evolved over time according to a continuous probability distribution.

Over the course of an eight hour day, a business normally has about 200 customers arrive. Assuming that the customers arrive at about the same rate over the entire day, what is the interarrival time?

Which of the following is NOT a step in the process of conducting a simulation study?

One key advantage of computer simulation is that is makes full use of the simplifying approximations that are available.

Customers arrive at a carwash with on average once every 20 minutes. It seems likely that customer arrivals follow an exponential distribution. In a simulation, the random number 0.1398 is generated. How long it will be until the next simulated arrival occurs?

Simulation is often the first choice of decision makers instead of analytic models.

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, what formula would you use to estimate how long the next service will take?

Simulation enables a decision maker to experiment with a system and observe its behavior.

The Queueing Simulator returned the results shown below. Which of the following waiting times in the queue is most likely to occur?

If a simulation begins with the first random number, the first 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

When dealing with relatively complex systems, computer simulation is an inexpensive option for decision makers.

In order to generate more accurate results when using simulation:

Service times at a doctor's office take an average of 40 minutes. It seems likely that service times follow an exponential distribution. In a simulation, the random number 0.7588 is generated. How long it will be until the next simulated arrival occurs?

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