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Unformatted text preview: IEOR 4106: Introduction to Operations Research: Stochastic Models Professor Whitt, Spring, 2009 Problem for Discussion, Tuesday, February 24 Trip to the Post Office Five students from IEOR 4106 – David Harrison (D), Heusang Lee (H), Robert Bennett (R), Tingzhu Ke (T), and Xiao Wei (X) – simultaneously enter an empty post office, where there are three clerks ready to serve them. David, Heusang and Robert begin to receive service immediately, while Tingzhu and Xiao wait in a single line, ready to be served by the first free clerk, with Tingzhu at the head of the line (to be served first when a server becomes free), and Xiao after Tingzhu. Suppose that the service times of the three clerks (for all customers) are independent exponential random variables, each with mean 2 minutes. (a) What is the expected time (from the moment the students enter the post office) until David completes service?...
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 Spring '08
 Whitt
 Operations Research, Variance, Probability theory, David Harrison

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