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PracticeMidterm

PracticeMidterm - IEOR 4404 Simulation Prof Mariana...

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IEOR 4404 Practice Midterm Exam Simulation February 27, 2012 Prof. Mariana Olvera-Cravioto Page 1 of 11 Practice Midterm Exam Place all answers on the question sheet provided. The exam is open book/notes/handouts/homework. You are allowed to use a calculator, but not a computer. Write all answers clearly and in complete sentences. All answers should be supported by analysis or an argument. This exam has a total of 100 points. First Name: Last Name: 1(a) 1(b) 1(c) 1(d) 1(e) 1(f) 1(g) 1(h) 1(i)(i) 1(i)(ii) 2(a) 2(b) 3 Total Honor Code I resolve i ) not to give or receive aid during this examination, and ii ) to take an active part in seeing that other students uphold this Honor Code. Signature:

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2 IEOR 4404, Practice Midterm Exam 1. We are interested in using simulation to study the performance of an internet server under different communication protocols. The server receives processing requests in the form of “packets”; a packet is a formatted unit of data. There are different ways in which one can model internet traffic, this question discusses what is known as an on-off sources model. An On-Off Sources Model: Traffic is assumed to come in from many independent sources, and each source can be either on or off. When a source is “On”, it sends packets to the server according to a Poisson process with rate λ . When it is “Off” it does not send any packets. There can be several sources on at the same time. “On” sessions arrive at exponential interarrival times with rate μ ; more specifically, if at time t a source just turned “On”, the
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PracticeMidterm - IEOR 4404 Simulation Prof Mariana...

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