Exam1_2008

# Exam1_2008 - Name IE 305 Exam 1 Spring 2008 Packard 416...

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Unformatted text preview: Name______________________________ IE 305 Exam 1 * Spring 2008 * Packard 416 * 10:10 to 11:00 * Feb 20 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 4. Exam may be “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 Question 1 (25 points) Consider the simple terminating simulation below of a barber shop with a single barber. Both interarrival times and service times are EXPO(2). Whenever an EXPO(2) random variable is needed by the simulation, the next number from the stream below is used. EXPO(2) Stream: 1.5 3.8 2.1 1.2 0.8 1.6 1.5 2.1 1.8 1.3 1.7 2.3 Create EXPO(2) Queue Seize Barber Delay EXPO(2) Release Barber Dispose Complete the hand simulation through time 8.0. You may use the tables on page 2. Note that the first 5 time periods have already been filled out in the tables. After completing the hand simulation, answer questions a) through c) on page 3. The tables will not be graded. Your answers to parts a, b, and c on page three are the only things that will be graded. Time = Time = Future Events List Current Events List Future Events List Current Events List Entity Current Block Move time Entity Current Block Entity Current Block Move time Entity Current Block 1 4 3.8 2 1 1.5 Time = 1.5 Time = Future Events List Current Events List Future Events List Current Events List Entity Current Block Move time Entity Current Block Entity Current Block Move time Entity Current Block 1 4 3.8 2 2 3 1 3.6 Time = 3.6 Time = Future Events List Current Events List Future Events List Current Events List Entity Current Block Move time Entity Current Block Entity Current Block Move time Entity Current Block 1 4 3.8 2 2 4 1 4.8 3 2 Time = 3.8 Time = Future Events List Current Events List Future Events List Current Events List Entity Current Block Move time Entity Current Block Entity Current Block Move time Entity Current Block 2 4 4.6 3 2 4 1 4.8 Time = 4.6 Time = Future Events List Current Events List...
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Exam1_2008 - Name IE 305 Exam 1 Spring 2008 Packard 416...

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