Exam 26: Simulation

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"Time compression" and the ability to pose "what-if" questions are elements of

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In most real-world inventory problems, lead time and demand vary in ways that make simulation a necessity because mathematical modeling is extremely difficult.

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Simulation provides optimal solutions to problems.

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Random number intervals are based on cumulative probability distributions.

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The seven steps in the use of simulation include all but which of the following?

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A distribution of service times at a waiting line indicates that service takes 12 minutes 30 percent of the time and 14 minutes 70 percent of the time. Prepare the probability distribution, the cumulative probability distribution, and the random number intervals for this problem.

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From a portion of a probability distribution, you read that P(demand = 0) is 0.05, P(demand = 1) is 0.10, and P(demand = 2) is 0.20. The two-digit random number intervals for this distribution beginning with 01 are

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A warehouse manager needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product suggests the following probability distribution. Convert this distribution into random number intervals. Demand during lead time Probability 100 .02 120 .15 140 .25 160 .15 180 .13 200 .30

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A distribution of service times at a waiting line indicates that service takes 6 minutes 30 percent of the time, 7 minutes 40 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 10 percent of the time. In preparing this distribution for Monte Carlo analysis, the service time 8 minutes would be represented by the random number range

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One of the advantages of simulation is that

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A(n) __________ is a series of digits that have been selected by a totally random process.

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Explain what is meant by "simulation is not limited to using the standard probability distributions."

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A waiting-line problem that cannot be modeled by standard distributions has been simulated. The table below shows the result of a Monte Carlo simulation. (Assume that the simulation began at 8:00 a.m. and there is only one server. Customer Number Arrival Time Service Time Service Ends 1 8:06 2 8:08 2 8:07 10 8:18 3 8:12 10 8:28 4 8:24 11 8:39 5 8:30 5 8:44 a. What is the average waiting time in line? b. What is the average time in the system?

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State the three-fold idea behind simulation.

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A distribution of service times at a waiting line indicates that service takes 12 minutes 30 percent of the time and 14 minutes 70 percent of the time. Prepare the probability distribution, the cumulative probability distribution, and the random number intervals for this problem. The first six random numbers were 99, 29, 27, 75, 89, and 78. What is the average service time for this simulation run?

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What is the Monte Carlo method?

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Identify five applications of simulation.

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All forms of simulation are based on probability or chance.

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What are the advantages and disadvantages of simulation models?

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The numbers used to represent each possible value or outcome in a computer simulation are referred to as __________ .

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