Question 1

Simulation is the preferred technique for problems with random variables represented by probability distributions.

Accepted Answer

Simulation is a technique that is commonly used for problems that involve random variables represented by probability distributions, making it a preferred method for such problems.

Question 2

Simulation is often viewed as the technique of last resort because it can be applied to situations when there is no applicable quantitative model.

Accepted Answer

True

Question 3

Simulation analysis is useful for operational problems that
A)are easy to solve analytically.
B)can't be solved analytically.
C)require an optimal solution.
D)meet specific analytical criteria.

Accepted Answer

Simulation analysis is useful for problems that cannot be solved analytically using mathematical equations or formulas.

Question 4

The weekly capacity measured in machine hours for a small machine shop follows the probability distribution shown below:

Based on the probability distribution above,the expected value,or average hours of weekly capacity for the machine shop is
A)500 hours.
B)490 hours.
C)480 hours.
D)475 hours.

Accepted Answer

The answer of The weekly capacity measured in machine hours...

Question 5

Simulation analysis is the preferred method used at hospitals to determine the type of treatment a patient requires.

Accepted Answer

Simulation analysis is not the preferred method used at hospitals to determine the type of treatment a patient requires. Diagnosis and treatment decisions are typically made based on a combination of physical examination, laboratory and imaging tests, and clinical judgement. Simulation may be used in some cases for training purposes or to test potential treatment approaches, but it is not the primary method for determining patient care.

Question 6

The weekly capacity measured in machine hours for a small machine shop follows the probability distribution shown below:

Use the following random numbers to simulate weekly capacity for the machine shop for the next five weeks: 93,31,71,8,6.
If the first random number interval begins with 1,then the minimum capacity for the simulated five week period is
A)560.
B)520.
C)440.
D)400.

Accepted Answer

To simulate the weekly capacities for the next five weeks using the given random numbers, we simply match each random number with the corresponding interval of the probability distribution.

Week 1: Random number 93 falls in the interval 91-100, which corresponds to a capacity of 500 machine hours. 
Week 2: Random number 31 falls in the interval 21-30, which corresponds to a capacity of 200 machine hours. 
Week 3: Random number 71 falls in the interval 61-70, which corresponds to a capacity of 400 machine hours. 
Week 4: Random number 8 falls in the interval 1-10, which corresponds to a capacity of 100 machine hours. 
Week 5: Random number 6 falls in the interval 1-10, which corresponds to a capacity of 100 machine hours.

Therefore, the total capacity for the five week period is 500 + 200 + 400 + 100 + 100 = 1300 machine hours.

If the first random number interval begins with 1, then the minimum capacity would be 100 machine hours (the lowest capacity in the distribution). Thus, the minimum total capacity for the five week period would be 5 * 100 = 500 machine hours.

Therefore, the best answer choice is C, 440, as it is the only option less than the calculated minimum total capacity of 500 machine hours.

Question 7

Because simulation is used to analyze probabilistic problems it provides information that is used to make a decision versus an optimal solution.

Accepted Answer

Simulation provides a range of possible outcomes based on probabilities, which then can be used to make a decision. It does not necessarily provide an optimal solution.

Question 8

A random number's likelihood of being selected is based on a normal distribution.

Accepted Answer

A random number's likelihood of being selected is not inherently based on a normal distribution; it depends on the method used to generate or select the number.

Question 9

The ______________ technique selects numbers randomly from a probability distribution for use in a trial run of a simulation.
A)Computer World
B)Monaco
C)steady-state
D)None of the above.

Accepted Answer

The correct term is "Monte Carlo" technique, which is not listed among the options. It involves using random sampling from a probability distribution to simulate the behavior of complex systems.

Question 10

At a Wal-Mart store,simulation can be used to analyze waiting lines at check-out stands to determine the required staffing levels.

Accepted Answer

Simulation can be used to model and analyze waiting lines, such as those at check-out stands, and can provide insights into the required staffing levels needed to reduce wait times and improve customer satisfaction. Wal-Mart and other retailers commonly use simulation modeling to optimize staffing and operations.

Question 11

The Monte Carlo technique selects numbers randomly from a probability distribution for use in a quantitative model.

Accepted Answer

The answer of The Monte Carlo technique selects numbers randomly...

Question 12

The weekly demand for a company's product follows the probability distribution below:

The expected value,or average,weekly demand is
A)137.50.
B)142.50.
C)153.75.
D)165.75

Accepted Answer

To calculate the expected value or average, we need to multiply each demand by its corresponding probability and then sum up all the values.

Expected value = (50*0.15) + (100*0.25) + (150*0.35) + (200*0.20) + (250*0.05)

Expected value = 7.50 + 25.00 + 52.50 + 40.00 + 12.50

Expected value = 137.50

Therefore, the best choice is B) 142.50, which is the closest option to the calculated expected value of 137.50.

Question 13

As a simulation model becomes more complex,using a computer application is virtually impossible.

Accepted Answer

Using a computer application can make it easier to handle and manage complex simulation models. Advanced software tools and techniques can be used to create, visualize, analyze, and optimize such models. However, as a simulation model becomes more complex, it may require more computational resources and time to run simulations. It may also require more expertise in modeling, data analysis, and programming to develop and validate the model. Therefore, while using a computer application can certainly help in handling complex simulation models, it may still pose challenges that need to be addressed.

Question 14

A steady state results when a simulation is repeated enough times that the random variable being investigated reaches an average result that remains constant.

Accepted Answer

A steady state refers to the condition when the system being simulated reaches an average result that remains constant over time. This occurs after the simulation has been repeated enough times to eliminate any transient behavior and achieve a stable system. Therefore, the statement is true.

Question 15

After a sufficient number of simulation runs a steady state results when the variable being investigated reaches an _________ value that remains constant.
A)optimal
B)average
C)expected
D)estimated

Accepted Answer

A steady state is reached when the variable being investigated reaches an average value that remains constant over multiple simulation runs. Option A (optimal) suggests that there is a single best value, which may not be true in all cases. Option C (expected) suggests a specific value, which may not be accurate or constant over multiple runs. Option D (estimated) suggests a guess or approximation, which may not be reliable for determining a steady state.

Question 16

Simulation is a popular decision-making tool that provides a solution to any type of problem

Accepted Answer

Simulation is a useful tool for decision-making, but it does not provide solutions to all types of problems. It is best suited for complex systems where analytical solutions are difficult to obtain, but it may not be applicable or effective for simpler or well-defined problems.

Question 17

An advantage of using a computer versus a manual approach when performing a simulation is that it often takes only seconds versus hours to reach a steady-state result.

Accepted Answer

One of the main advantages of using a computer simulation is its speed and efficiency. The computer is able to perform complex calculations and simulations quickly and accurately, often reaching a steady-state result in a matter of seconds or minutes, whereas a manual approach would take significantly longer.

Question 18

The weekly demand for a company's product follows the probability distribution below:

Use the following random numbers to simulate the product's demand for the next five weeks: 72,27,93,17,47.
If the first random number interval begins with 1 then the total demand for the simulated five week period is
A)700.
B)650.
C)625.
D)550.

Accepted Answer

The answer of The weekly demand for a company's product...

Question 19

The weekly demand for a company's product follows the probability distribution below:

Use the following random numbers to simulate the product's demand for the next five weeks: 72,27,93,17,47.
If the first random number interval begins with 1 then the average weekly demand for the simulated five week period is
A)137.50.
B)140.00.
C)142.50.
D)152.50.

Accepted Answer

Using the random number intervals provided, we can simulate the demand for the next 5 weeks as follows:

Week 1: 1-17 -> Demand = 120
Week 2: 18-37 -> Demand = 125
Week 3: 38-60 -> Demand = 135
Week 4: 61-77 -> Demand = 140
Week 5: 78-99 -> Demand = 145

To find the average demand, we sum up the demand for each week and divide by the number of weeks:

(120 + 125 + 135 + 140 + 145) / 5 = 133.00

So if the first random number interval begins with 1, the average weekly demand for the simulated five week period would be 133.00, which is closest to option B (140.00).

Question 20

The Monte Carlo technique is a mathematical model used within a simulation.

Accepted Answer

The Monte Carlo technique is a mathematical model used within a simulation to generate random data and simulate real-world scenarios.

Quiz 13: Operational Decision-Making Tools: Simulation

Simulation is the preferred technique for problems with random variables represented by probability distributions.

Simulation is often viewed as the technique of last resort because it can be applied to situations when there is no applicable quantitative model.

Simulation analysis is useful for operational problems that

The weekly capacity measured in machine hours for a small machine shop follows the probability distribution shown below: Based on the probability distribution above,the expected value,or average hours of weekly capacity for the machine shop is

Simulation analysis is the preferred method used at hospitals to determine the type of treatment a patient requires.

Because simulation is used to analyze probabilistic problems it provides information that is used to make a decision versus an optimal solution.

A random number's likelihood of being selected is based on a normal distribution.

The ______________ technique selects numbers randomly from a probability distribution for use in a trial run of a simulation.

At a Wal-Mart store,simulation can be used to analyze waiting lines at check-out stands to determine the required staffing levels.

The Monte Carlo technique selects numbers randomly from a probability distribution for use in a quantitative model.

The weekly demand for a company's product follows the probability distribution below: The expected value,or average,weekly demand is

As a simulation model becomes more complex,using a computer application is virtually impossible.

A steady state results when a simulation is repeated enough times that the random variable being investigated reaches an average result that remains constant.

After a sufficient number of simulation runs a steady state results when the variable being investigated reaches an _________ value that remains constant.

Simulation is a popular decision-making tool that provides a solution to any type of problem

An advantage of using a computer versus a manual approach when performing a simulation is that it often takes only seconds versus hours to reach a steady-state result.

The Monte Carlo technique is a mathematical model used within a simulation.