# Quiz 10: Simulation Models

Business

Q 1Q 1

Other than special purpose simulation languages (GPSS, SIMSCRIPT, etc.), the only general purpose programming language with
simulation capabilities is Excel.

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True False

False

Q 2Q 2

Continuous simulation systems generally require the use of
differential equations to model alterations in system parameters.

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True False

True

Q 3Q 3

In random number mapping, the number assigned to correspond to the outcome of an event must be chosen randomly.

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True False

False

Q 4Q 4

Monte Carlo simulation may be applied to problems in which a chance (random) process generates relevant occurrences.

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True False

Q 5Q 5

A computer-created random number generator uses a mathematical formula and produces pseudo-random numbers, which are not truly random.

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True False

Q 6Q 6

Simulation studies may be used to prove, or disprove, hypotheses regarding the system under investigation.

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True False

Q 7Q 7

A queuing system is generally simulated using the next event
approach but could be simulated with a fixed time approach.

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True False

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True False

Q 9Q 9

When simulating a process with two random events (e.g., arrival time and service time) they each may be mapped using the same random number.

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True False

Q 10Q 10

Simulation models of queues are useful when the simplifying assumptions of the queuing model are invalid.

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True False

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True False

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True False

Q 13Q 13

The inverse distribution function expresses a value in terms of a cumulative distribution function.

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True False

Q 14Q 14

Performing additional simulation runs to estimate a value can reduce the confidence interval for that value.

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True False

Q 15Q 15

Simulation can be used to model a functioning operation and study what would happen if we made extensive changes.

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True False

Q 16Q 16

A simulation study:
A)evaluates options.
B)generates options.
C)generates optimal solutions.
D)evaluates parameters.

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Multiple Choice

Q 17Q 17

"Increments" in a given simulation study may be measured by:
A)fixed times.
B)next events.
C)fixed times or next events.
D)fixed times and next events.

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Multiple Choice

Q 18Q 18

Categories of simulation systems do not include those which are:
A)discrete.
B)continuous.
C)mixed discrete-continuous.
D)congruential.

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Multiple Choice

Q 19Q 19

In mapping random numbers to the outcomes of a simulated event, the random numbers must be selected:
A)sequentially.
B)systematically.
C)randomly.
D)by any unbiased process.

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Multiple Choice

Q 20Q 20

Where the events to be simulated have a continuous probability distribution, F(x) is employed.F(x) is:
A)P(X ≤ x).
B)P(X = x).
C)P(X ≥ x).
D)decumulative.

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Multiple Choice

Q 21Q 21

The sequence of numbers produced by a computer's random number generator:
A)will show autocorrelation.
B)is independent of the "seed" selected.
C)is derived by mathematical formula.
D)is genuinely random.

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Multiple Choice

Q 22Q 22

In conducting a hypothesis test using simulation results:
A)one may not be able to draw a firm conclusion regarding the optimal policy.
B)the null hypothesis may be proved correct.
C)the alternate hypothesis reflects the simulation's estimated value(s).
D)the results (of the simulation) generate the null hypothesis.

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Multiple Choice

Q 23Q 23

In simulating a queuing system:
A)multiple random number generators must be used.
B)service times cannot be constant.
C)the queue discipline must be first-come, first-served.
D)arrivals may follow a uniform distribution.

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Multiple Choice

Q 24Q 24

In the "next event" approach used in simulating inventory systems, the "events" typically may not correspond with:
A)inventory counts.
B)order placements.
C)order receipts.
D)customer arrivals.

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Multiple Choice

Q 25Q 25

An inventory system may be simulated using:
A)a variable-time approach only.
B)a fixed-time approach only.
C)a next-event approach only.
D)a fixed-time or next-event approach.

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Multiple Choice

Q 26Q 26

Simulation analysis:
A)is often used in conjunction with mathematical analysis.
B)is time consuming and costly.
C)generates verifiably optimal solutions.
D)provides insights into relationships among variables.

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Multiple Choice

Q 27Q 27

Which of the following is not a simulator program?
A)Alpha/Sim.
B)SIMSCRIPT.
C)ProModel.
D)Extend.

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Multiple Choice

Q 28Q 28

Which of the following statements is true?
A)Zero should not be used as a seed value.
B)Using the same seed value for simulation of different options does not reduce the amount of work necessary to achieve the desired statistical precision.
C)Using the same seed value will produce the same set of random numbers in exactly the same order.
D)The RAND() function accepts a seed value as an input parameter.

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Multiple Choice

Q 29Q 29

Which Crystal Ball menu item do you use to assign a probability distribution to a cell?
A)Define Assumption.
B)Define Decision.
C)Define Forecast.
D)Cell Preference.

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Multiple Choice

Q 30Q 30

Crystal Ball is:
A)a standalone simulation program.
B)a specialized simulation language.
C)an Excel add-in for simulation.
D)a graphic simulator program.

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Multiple Choice

Q 31Q 31

Pseudo-random numbers are often generated in groups, such as 07967 45929 85113 36308.What determines which specific digits to use in random number mapping?

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Essay

Q 32Q 32

If the daily demand of x units has a probability of 0.20, will the corresponding "mapped" random numbers be 00-19?

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Q 34Q 34

If we are simulating a queuing system, is it permissible to use the same random number to describe both an interarrival time and a customer's service time?

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Q 35Q 35

Why do you suppose many managers do not wholeheartedly accept the results of simulation studies?

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Q 37Q 37

How does simulation differ from analytical techniques, such as queuing theory or linear programming?

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Q 39Q 39

What is the difference between a simulation language, such as GPSS, and a simulator program, such as Extend?

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Q 42Q 42

The explicit inverse distribution method and the interpolation method are used for what purpose?

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Q 43Q 43

What is the Excel function to generate a normally distributed random variable with mean 10 and variance 4?

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Q 45Q 45

To simulate an M/M/1 queue, how many random variable processes are needed? Identify what the random variables will represent.

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Q 46Q 46

In which Crystal Ball menu do you indicate the maximum number of trials and the desired confidence level?

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Q 48Q 48

Titus Tronix is currently having a consumer electronics clearance sale.The store presently has 10 Gadzooks video cassette recorders on sale.Five are Standard, three are Economy, and two are

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Q 49Q 49

Papagayo Rum is produced on the island of the same name, and its entire output is exported by ship.There is only one pier capable of accommodating the freighters, which arrive empty, are then loaded with their cargo of rum, and then depart.The pier may service at most two ships at a time.

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Q 50Q 50

Repeat problem 2 using a next event approach.Assume the ship interarrival time is exponentially distributed with a mean of .5 days.

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Q 51Q 51

GoodFriend Inc.plans to upgrade its accounting software.The main activities for the project are:

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Q 52Q 52

Simulate the post office function for eight hours on December 10, two weeks before Christmas.Arrivals are Poisson distributed at an average of one per minute.Service time is exponential with a mean of 3 minutes.Six servers are available.What is the average length of the queue?

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Q 53Q 53

Simulate the elevator operation at the Bank of Liberty building.Between 7:00 AM and 7:00 PM, 1440 people arrive daily at the first floor of the 20 story structure.Assume a uniform distribution of both arrivals and destinations (which floor).Assume each person stays exactly one hour.Everyone leaves the building by 8:00 PM.The elevators hold 20 people, travel at 6 floors/minute, and require 30 seconds for each stop.How many elevators does the building require if no one is to wait more than 5 minutes?

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Q 54Q 54

Muchobucks Funding, a venture capital company, invests in a high-tech, pre-IPO startup.Assume the startup has an exponential distribution of income with a mean of $500,000 per year and one million dollars in expenses.That is, the company is expected to lose half a million dollars each year.Once a startup loses $2 million, Muchobucks pulls the plug, and the startup goes out of business.How long will the average startup last?

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