Exam1_2010

Exam1_2010 - Name_ IE 305 Exam 1 * Spring 2010 * Packard...

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Name__________________________________ IE 305 Exam 1 * Spring 2010 * Packard 416 * 10:10 to 11:00 * Feb 24 Instructions 1. There are 4 questions with multiple parts. Point values are shown for each part. 2. The test is open book, open notes 3. You must show all relevant work to receive credit 4. Exam is probably “long”, so don’t waste too much time on any one problem 5. Unless stated otherwise, you should assume α = 0.05 6. You do not need to interpolate in tables, just pick the closest value
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Question 1 (28 points) Consider the simple terminating simulation below of the license renewal station at the DMV. There is only a single worker at this station. The interarrival times are Expo(2.0) minutes. The service times are Norm(5,1) minutes. Whenever a random variable is needed by the simulation, the next number from the proper stream below is used. Stream 1: Expo(2.0) for Create 2.6 2.8 10.6 1.7 0.6 2.2 0.1 0.5 Stream 2: Norm(5,1) for Delay 5.2 5.4 5.4 4.9 6.4 5.9 4.1 4.9 Create Expo(2.0) Queue Seize DMV Worker Delay Norm(5,1) Release DMV Worker Dispose Below, a hand simulation is completed through time 16.0. a) [7 Points] Continue filling in the current and future events lists in the boxes provided until the simulation ends at time 20.0. Time=0 Future Events List Current Events List Time=16.0 Future Events List Current Events List Entity Block Move Time Entity Block Entity Block Move Time Entity Block 2 1 2.6 5 1 17.7 1 4 5.2 4 4 20.9 Time=2.6 Future Events List Current Events List Time= Future Events List Current Events List Entity Block Move Time Entity Block Entity Block Move Time Entity Block 3 1 5.4 2 2 1 4 5.2 Time=5.2 Future Events List Current Events List Time= Future Events List Current Events List Entity Block Move Time Entity Block Entity Block Move Time Entity Block 3 1 5.4 2 4 10.6 Time=5.4 Future Events List Current Events List Time= Future Events List Current Events List Entity Block Move Time Entity Block Entity Block Move Time Entity Block 4 1 16.0 3 2 2 4 10.6 Time=10.6 Future Events List Current Events List Time= Future Events List Current Events List Entity Block Move Time Entity Block Entity Block Move Time
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Exam1_2010 - Name_ IE 305 Exam 1 * Spring 2010 * Packard...

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