Chapters 139 Review Questions

Chapters 139 Review Questions - Chapters 1 and 3 Review...

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Unformatted text preview: Chapters 1 and 3 Review Questions Note: Questions 1 through 5 are all quite similar Question 1 Consider the simple barber shop simulation below of a barber shop with two barbers : Both interarrival times and service times are EXPO(1). Whenever an EXPO(1) random variable is needed by the simulation, the next number from the stream below is used. EXPO(1) Stream: 2, 6, 1, 10, 6, 9, 1, 7, 6, 4, 3, 5, 6, 3, 8, 5, 10 Create EXPO(1) Queue Seize Barber Delay EXPO(1) Release Barber Dispose T = 0 T = 10 Future Events List Current Events List Future Events List Current Events List Entity Number Block Move Time Entity Number Block Entity Number Block Move Time Entity Number Block 1 4 6 2 4 12 4 2 2 1 2 3 4 15 5 2 6 1 17 T = 2 T = 12 Future Events List Current Events List Future Events List Current Events List Entity Number Block Move Time Entity Number Block Entity Number Block Move Time Entity Number Block 1 4 6 3 4 15 5 2 2 4 12 6 1 17 3 1 3 4 4 18 T = 3 T = Future Events List Current Events List Future Events List Current Events List Entity Number Block Move Time Entity Number Block Entity Number Block Move Time Entity Number Block 1 4 6 3 2 2 4 12 4 1 9 T = 6 T = Future Events List Current Events List Future Events List Current Events List Entity Number Block Move Time Entity Number Block Entity Number Block Move Time Entity Number Block 2 4 12 4 1 9 3 4 15 T = 9 Future Events List Current Events List Entity Number Block Move Time Entity Number Block 2 4 12 4 2 3 4 15 5 1 10 a) Complete the processing of the next two simulation times (i.e. the last two sets of lists above). b) Assuming the simulation ends at time 13, what is the average number in queue over the simulation? c) Assuming that the simulation ends at time 13, what is the average time in queue for customers in the barber shop simulation? Question 2 Customers arrive to a single server with Exponential interarrival times with mean one minute. The first customer is assumed to arrive at time 0.0. The server takes exactly 0.9 minutes to serve each customer. Below are exponential(=1) random deviates for use in the simulation. 0.96, 2.29, 0.51, 0.1, 0.12, 0.04, 4.23, 0.89, 0.14, 1.97 Conduct a hand simulation for 10 minutes. Answer the questions below. No partial credit on this problem. You do not need to show work. Just provide the numerical answers. a) At time 10, how many customers are in the system? b) What is the average time in system for customers? c) What is the average number of customers in queue? Question 3 Consider the simple barbershop simulation program below and the two streams of random numbers. The first (EXPO) stream is dedicated to the arrival process while the second (NORM) is dedicated to service times....
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This note was uploaded on 04/26/2009 for the course IE 226 taught by Professor Tonkay during the Spring '09 term at Lehigh University .

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Chapters 139 Review Questions - Chapters 1 and 3 Review...

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