Question 1

The Monte Carlo simulation was developed by
A)John von Neumann.
B)Eric von Brock.
C)A.K.Erlang.
D)P.K.Poisson.
E)J.D.Monte Carlo.

Accepted Answer

The Monte Carlo simulation was developed by John von Neumann, a Hungarian-American mathematician, physicist, and computer scientist.

Question 2

Validation relates to building the right model.

Accepted Answer

Validation is the process of ensuring that a model is built using the right data, the right algorithms, and the right parameters to answer the right kind of questions. Therefore, validation is directly related to building the right model.

Question 3

Simulation that is used with queuing models are probabilistic and do not have Poisson arrivals nor exponential service times.

Accepted Answer

The answer of Simulation that is used with queuing models...

Question 4

A flow diagram is helpful in the logical coding procedures for programming a simulation process.

Accepted Answer

A flow diagram helps to visualize the order of steps in a simulation process and can aid in identifying any errors or inefficiencies in the code.

Question 5

If,for a simple queuing or waiting line problem,we compare the solution from an analytical model with that from a simulation,we will typically find them to be exactly the same.

Accepted Answer

While the solutions may be similar, they will not typically be exactly the same due to the inherent stochastic nature of simulation. Additionally, simulation can incorporate complexities and variations that may be difficult to capture in an analytical model.

Question 6

Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation. 
-According to Table 13-1,what is the probability of at least one breakdown?
A)0.2
B)0.3
C)0.5
D)0.8
E)0.85

Accepted Answer

To find the probability of at least one breakdown, we need to add up the probabilities of one, two, and three breakdowns. 
P(at least one breakdown) = P(1) + P(2) + P(3) = 0.5 + 0.3 + 0.05 = 0.85 
Therefore the probability of at least one breakdown is 0.85, which corresponds to choice D.

Question 7

When establishing a probability distribution based on historical outcomes,the relative frequency for each possible outcome of a variable is found by dividing the frequency of each outcome by the total number of observations.

Accepted Answer

This is the definition of relative frequency and is correct.

Question 8

The advantage of simulation over queuing or waiting line models is that simulation allows us to relax our assumptions regarding arrival and service distributions.

Accepted Answer

Simulation allows for more flexibility in modeling the arrival and service processes, as we can input empirical or historical data to simulate more realistic scenarios. Queuing models typically assume specific distributions for arrival and service times, which may not accurately reflect real-world situations.

Question 9

What is the probability of selecting any random number from a two digit table?
A)0.001
B)0.01
C)0.10
D)0.02
E)Not enough information provided

Accepted Answer

A two-digit table consists of numbers from 10 to 99. There are a total of 90 numbers in a two-digit table. Therefore, the probability of selecting any random number from a two-digit table is 1/90, which simplifies to 0.01 or 1%. The correct answer is B.

Question 10

Operational gaming involves a single player competing with the computer simulated game.

Accepted Answer

Operational gaming typically involves multiple players or teams competing against each other or against a computer-simulated environment, rather than a single player.

Question 11

Deterministic inventory models require the use of simulation.

Accepted Answer

Deterministic inventory models do not require the use of simulation. They rely on mathematical formulas to determine optimal inventory levels and reorder points. Simulation may be used to test and validate these models, but it is not required for the models themselves.

Question 12

Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation. 
-According to Table 13-1,what is the cumulative probability of 2 breakdowns?
A)0.35
B)0.50
C)0.85
D)0.15
E)0.20

Accepted Answer

To find the cumulative probability of 2 breakdowns, we need to add up the probabilities of having 0, 1, or 2 breakdowns.

Cumulative probability of 0 breakdowns = 0.10
Cumulative probability of 1 breakdown = 0.40
Cumulative probability of 2 breakdowns = 0.35

Adding these up, we get:
0.10 + 0.40 + 0.35 = 0.85

Therefore, the cumulative probability of 2 breakdowns is 0.85, which corresponds to answer choice C.

Question 13

There are three categories of simulation models: Monte Carlo,operational gaming,and systems simulation.

Accepted Answer

This statement is true. There are indeed three main categories of simulation models: Monte Carlo simulations, operational gaming, and systems simulations.

Question 14

Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation. 
-According to Table 13-1,if a random number of 00 is drawn,what would the simulated number of breakdowns be?
A)0
B)1
C)2
D)3
E)Not enough information provided

Accepted Answer

The answer of Table 13-1
The table below represents the probability...

Question 15

Which of the following is not an advantage of simulation?
A)It allows for the study of what-if questions.
B)Each simulation model is unique.
C)It allows the study of interaction of components or variables to determine which are important.
D)It allows time compression.
E)None of the above

Accepted Answer

Each simulation model is not always unique. Often, similar models can be developed for different scenarios or situations.

Question 16

In assigning random numbers in a Monte Carlo simulation,
A)it is important to develop a cumulative probability distribution.
B)it is important to use a normal distribution for all variables simulated.
C)it is not important to assign probabilities to an exact range of random number intervals.
D)All of the above
E)None of the above

Accepted Answer

Developing a cumulative probability distribution is necessary for accurately assigning random numbers in a Monte Carlo simulation. Using a normal distribution for all variables simulated may not be appropriate and it is important to assign probabilities to an exact range of random number intervals.

Question 17

Table 13-2
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand. 
-According to Table 13-2,if the random number 40 were generated for a particular day,what would the simulated demand be for that day?
A)5
B)6
C)7
D)20
E)None of the above

Accepted Answer

The random number 40 falls within the range associated with a demand of 6 in Table 13-2.

Question 18

Simulation can be effectively used in many
A)inventory problems.
B)plant layout problems.
C)maintenance policy problems.
D)sales forecasting problems.
E)All of the above

Accepted Answer

Simulation can be effectively used in all the mentioned problems. It allows the user to experiment with different scenarios, factors, and policies in a safe and controlled manner, without disrupting the actual system. This helps in understanding the behavior and performance of the system under different conditions, and in identifying potential improvement opportunities.

Question 19

If,in a simple queuing or waiting line problem,we wish to know the maximum likely waiting time,or the maximum likely length of the line,we must use a simulation model.

Accepted Answer

In queuing or waiting line problems, it is difficult to obtain an exact analytical solution. So, simulation modeling is used to provide approximate solutions and estimate the maximum likely waiting time or queue length.

Question 20

Simulation of maintenance problems can help management analyze various staffing strategies based on machine downtime and labor cost.

Accepted Answer

Simulation allows for testing and analysis of different maintenance staffing strategies based on different scenarios, such as machine downtime and labor cost. This can help management make informed decisions about staffing and resource allocation.

Quiz 13: Simulation Modeling

The Monte Carlo simulation was developed by

Validation relates to building the right model.

Simulation that is used with queuing models are probabilistic and do not have Poisson arrivals nor exponential service times.

A flow diagram is helpful in the logical coding procedures for programming a simulation process.

If,for a simple queuing or waiting line problem,we compare the solution from an analytical model with that from a simulation,we will typically find them to be exactly the same.

Table 13-1 The table below represents the probability distribution for machine breakdowns in a day of operation. -According to Table 13-1,what is the probability of at least one breakdown?

When establishing a probability distribution based on historical outcomes,the relative frequency for each possible outcome of a variable is found by dividing the frequency of each outcome by the total number of observations.

The advantage of simulation over queuing or waiting line models is that simulation allows us to relax our assumptions regarding arrival and service distributions.

What is the probability of selecting any random number from a two digit table?

Operational gaming involves a single player competing with the computer simulated game.

Deterministic inventory models require the use of simulation.

Table 13-1 The table below represents the probability distribution for machine breakdowns in a day of operation. -According to Table 13-1,what is the cumulative probability of 2 breakdowns?

There are three categories of simulation models: Monte Carlo,operational gaming,and systems simulation.

Table 13-1 The table below represents the probability distribution for machine breakdowns in a day of operation. -According to Table 13-1,if a random number of 00 is drawn,what would the simulated number of breakdowns be?

Which of the following is not an advantage of simulation?

In assigning random numbers in a Monte Carlo simulation,

Simulation can be effectively used in many

If,in a simple queuing or waiting line problem,we wish to know the maximum likely waiting time,or the maximum likely length of the line,we must use a simulation model.

Simulation of maintenance problems can help management analyze various staffing strategies based on machine downtime and labor cost.