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Chap10_Review2008

# Chap10_Review2008 - IE 305/404 Spring 2008 Chapter 10...

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IE 305/404 Spring 2008 Chapter 10 Review Questions for Exam 1 Question 1 We are interested in comparing two different systems via simulation. Two output measures are collected from the simulation, average time in system (measured in minutes), and fraction of customers completing service in more than 25 minutes. Two alternative systems are being considered. Each system is simulated for ten replicates. First, 10 replicates of system 1 are made. Next, 10 independent replicates of system 2 are made. Finally, 10 replicates of system 2 are made using the method of common random numbers so that random numbers are synchronized with those used to simulate system 1. Results from all simulations appear in the table below. System 1 System 2 System 2 Differences Independent Common Random System 1 - System 2 Replicates Number Replicates Using Common RN Average time Fraction over Average time Fraction over Average time Fraction over Average time Fraction over Replicate in System 25 minutes in System 25 minutes in System 25 minutes in System 25 minutes 1 15.19 0.02 15.65 0.03 16.29 0.04 -1.1 -0.02 2 12.13 0.01 14.22 0.02 12.58 0.01 -0.45 0 3 17.13 0.06 16.17 0.04 19.35 0.13 -2.22 -0.07 4 17.5 0.07 13.43 0.01 18.4 0.09 -0.9 -0.02 5 16.88 0.05 15.52 0.03 18.38 0.09 -1.5 -0.04 6 11.97 0 16.16 0.04 12.84 0.01 -0.87 -0.01 7 16.83 0.05 12.67 0.01 18 0.08 -1.17 -0.03 8 18.44 0.09 16.97 0.05 19.18 0.12 -0.74 -0.03 9 14.9 0.02 11.83 0 16.03 0.04 -1.13 -0.02 10 15.15 0.02 10.35 0 16.03 0.04 -0.88 -0.02 Average 15.612 0.039 14.297 0.023 16.708 0.065 -1.096 -0.026 Std Dev 2.192 0.029 2.174 0.018 2.438 0.043 0.485 0.019 a) Compare mean time in system for the two systems using the independent replicates. Use α =0.05 and the appropriate confidence interval. State and justify any necessary assumptions.

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Chap10_Review2008 - IE 305/404 Spring 2008 Chapter 10...

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