Exam1_2009_Solutions

Exam1_2009_Solutions - Name____Solutions___________________...

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Unformatted text preview: Name____Solutions___________________ IE 305 Exam 1 * Spring 2009 * Packard 416 * 10:10 to 11:00 * Feb 18 Instructions 1. There are 4 questions, each worth 25 points. 2. The test is open book, open notes 3. You must show all relevant work to receive credit Exam 1 Results 90 000122223334448 80 0012222233444444555555666678888999 70 01556667778999 60 233445579 50 459 40 6 30 058 Average 78.92405 Median 83 StDev 13.89777 N 79 Question 1 (25 points) Consider the simple terminating simulation below of the ATM machine at Laughyette College. The interarrival times are EXPO(2.1) hours. The service times are a constant 2 hours . Whenever an EXPO(2.1) random variable is needed by the simulation, the next number from the stream below is used. EXPO(2.1) Stream: 1.5 1.9 1.2 3.8 2.0 4.5 2.1 1.8 1.3 1.7 2.3 Create EXPO(2.1) Queue Seize Barber Delay 2 Release Barber Dispose Below, a hand simulation is completed through time 8.4. a) Fill in the current and future events lists for the next simulation time (i.e. fill in the last box below). Time = 0 Time=4.6 Future Events List Future Events List Future Events List Future Events List Entity Current Block Move Time Entity Current Block Entity Current Block Move Time Entity Current Block 2 1 1.5 5 1 8.4 4 2 1 4 2 3 4 6 Time = 1.5 Time = 6 Future Events List Future Events List Future Events List Future Events List Entity Current Block Move Time Entity Current Block Entity Current Block Move Time Entity Current Block 3 1 3.4 2 2 5 1 8.4 1 4 2 4 4 8 Time = 2 Time = 8 Future Events List Future Events List Future Events List Future Events List Entity Current Block Move Time Entity Current Block Entity Current Block Move Time Entity Current Block 3 1 3.4 5 1 8.4 2 4 4 Time = 3.4 Time = 8.4 Future Events List Future Events List Future Events List Future Events List Entity Current Block Move Time Entity Current Block Entity Current Block Move Time Entity Current Block 4 1 4.6 3 2 6 1 10.4 2 4 4 5 4 10.4 Time = 4 Time = Future Events List Future Events List...
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Exam1_2009_Solutions - Name____Solutions___________________...

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