Exam 27: Modeling with Simulation

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Simulation is used for several reasons,including which of the following?

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Despite the powerful simulation software available today,good simulation models can take a long time to develop.

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Results of simulation experiments with large numbers of trials or long experimental runs will generally be better than those with fewer trials or shorter experimental runs.

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A simulation model is designed to arrive at a single specific numerical answer to a given problem.

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What is the Monte Carlo method?

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The number of tires sold at a car garage varies randomly between 0 and 4 each hour,with equally probability for each possible outcome.What set of random numbers (on the 01-100 scale)would tire sales of 2 be assigned?

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One of the advantages of simulation is that:

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

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A distribution of lead times in an inventory problem indicates that lead time was 1 day 20 percent of the time,2 days 30 percent of the time,3 days 30 percent of the time,and 4 days 20 percent of the time.This distribution has been prepared for Monte Carlo analysis.The first four random numbers drawn are 06,63,57,and 02.What is the average lead time of this simulation?

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State the three-fold idea behind simulation.

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Explain the difference between random numbers and random number intervals.

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Which of the following is TRUE regarding the use of simulation?

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The Las Vegas method is a simulation technique that uses random elements when chance exists in their behavior.

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Explain what is meant by the concept of "time compression" in simulation modeling.

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Simulation is the attempt to duplicate the features,appearance,and characteristics of a real system,usually by means of a computerized model.

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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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From a portion of a probability distribution,you read that P(demand = 0)is 0.25,and P(demand = 1)is 0.30.What are the random number intervals for this distribution beginning with 01?

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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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Sam's hardware store has an order policy of ordering 12 gallons of a specific primer whenever 7 gallons are on hand (unless there's already an ordered delivery due).The store would like to see how well their policy works.Assume that beginning inventory in period 1 is 10 gallons and that orders are placed at the end of the week to be received one week later.(In other words,if an order is placed at the end of week one,it is available at the beginning of week 3. )Assume that if inventory is not on hand,it will result in a lost sale.The weekly demand distribution obtained from past sales is found in the table below.Also,use the random numbers that are provided and simulate 10 weeks' worth of sales.How many sales are lost? Sam's hardware store has an order policy of ordering 12 gallons of a specific primer whenever 7 gallons are on hand (unless there's already an ordered delivery due).The store would like to see how well their policy works.Assume that beginning inventory in period 1 is 10 gallons and that orders are placed at the end of the week to be received one week later.(In other words,if an order is placed at the end of week one,it is available at the beginning of week 3. )Assume that if inventory is not on hand,it will result in a lost sale.The weekly demand distribution obtained from past sales is found in the table below.Also,use the random numbers that are provided and simulate 10 weeks' worth of sales.How many sales are lost?    Random numbers for sales: 37,60,79,21,85,71,48,39,31,35 Random numbers for sales: 37,60,79,21,85,71,48,39,31,35

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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 of 8 minutes would be represented by what random number range?

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