Exam 16: Simulation
Exam 1: Introduction50 Questions
Exam 2: Introduction to Probability53 Questions
Exam 3: Probability Distributions52 Questions
Exam 4: Decision Analysis48 Questions
Exam 5: Utility and Game Theory49 Questions
Exam 6: Forecasting60 Questions
Exam 7: Introduction to Linear Programming54 Questions
Exam 8: Lp Sensitivity Analysis and Interpretation of Solution49 Questions
Exam 9: Linear Programming Applications42 Questions
Exam 10: Distribution and Network Problems57 Questions
Exam 11: Integer Linear Programming49 Questions
Exam 12: Advanced Optimization Application42 Questions
Exam 13: Project Scheduling: Pertcpm41 Questions
Exam 14: Inventory Models54 Questions
Exam 15: Waiting Line Models52 Questions
Exam 16: Simulation49 Questions
Exam 17: Markov Processes44 Questions
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To use Excel to generate a normally distributed random variable,you must know the mean and standard deviation of the distribution and have a random number between 0 and 1.
Free
(True/False)
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Correct Answer:
True
Values for the probabilistic inputs to a simulation
Free
(Multiple Choice)
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Correct Answer:
C
A value for probabilistic input from a discrete probability distribution
Free
(Multiple Choice)
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Correct Answer:
B
Three airlines compete on the route between New York and Los Angeles.Stanton Marketing has performed an analysis of first class business travelers to determine their airline choice.Stanton has modeled this choice as a Markov process and has determined the following transition probabilities.
a.Show the random number assignments that can be used to simulate the first class business traveler's next airline when her last airline is A,B,and C.
b.Assume the traveler used airline C last.Simulate which airline the traveler will be using over her next 25 flights.What percent of her flights are on each of the three airlines? Use the following random numbers,going from left to right,top to bottom.
SOLUTIONS TO PROBLEMS


(Essay)
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Each simulation run provides only a sample of how the real system will operate.
(True/False)
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Validation determines that the computer procedure is operating as it is intended to operate.
(True/False)
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Common features of simulations--generating values from probability distributions,maintaining records,recording data and summarizing results--led to the development of
(Multiple Choice)
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The number of units expected to be sold is uniformly distributed between 300 and 500.If r is a random number between 0 and 1,then the proper expression for sales is
(Multiple Choice)
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Which of the following statements is INCORRECT regarding the disadvantages of simulation?
(Multiple Choice)
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Trials of a simulation show what would happen when values of the probabilistic input change.
(True/False)
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The process of determining that the computer procedure that performs the simulation calculations is logically correct is called
(Multiple Choice)
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A simulation model uses the mathematical expressions and logical relationships of the
(Multiple Choice)
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Seventy-five percent of calls arriving at a help line can be handled by the person who answers the phone,but the remaining 25% of them will need to be referred to someone else.Assume that every call requires one minute of attention by the person who answers the phone (either to answer the question or to figure out how the referral should be handled).Calls that are referred need an additional amount of time,as given in the table below.
Callers are served on a first come,first served basis,and are put on hold until the line is free.Use the random numbers to simulate what happens to 10 callers.(Use the random numbers in order - from left to right,first row first - as you need them. )What percentage of your callers needs to be referred? Of those who had to be referred,what is the average referral time?



(Essay)
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If customer 2 has a service time of 1.6,and if customer 3 has an interarrival time of 1.1 and a service time of 2.3,when will customer 3's service be completed?
(Multiple Choice)
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Susan Winslow has two alternative routes to travel from her home in Olport to her office in Lewisburg.She can travel on Freeway 5 to Freeway 57 or on Freeway 55 to Freeway 91.The time distributions are as follows:
Do a five-day simulation of each of the two combinations of routes using the random numbers below.Based on this simulation,which routes should Susan take if her objective is to minimize her total travel time?



(Essay)
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For the past 50 days,daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10).
a.Determine the relative frequency for each number of units sold.
b.Suppose that the following random numbers were obtained using Excel:
Use these random numbers to simulate 10 days of sales.


(Essay)
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Arrivals to a truck repair facility have an interarrival time that is uniformly distributed between 20 and 50 minutes.Service times are normally distributed with mean 30 minutes and standard deviation 10 minutes.Develop a spreadsheet model to simulate the arrival of 100 trucks.Collect information on the time the repair facility is idle and on the average waiting time for trucks.
(Essay)
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