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Unformatted text preview: IEOR 4106: Introduction to Operations Research: Stochastic Models Professor Whitt, Spring, 2011 Problem for Discussion, Tuesday, February 22 Trip to the Post Office Five students from IEOR 4106 Hong Guo (H), Kun Wang (K), Leah Lederer (L), Mengyu Lam (M), and Siru Gao (S) simultaneously enter an empty post office, where there are three clerks ready to serve them. Hong, Kun and Leah begin to receive service immediately, while Mengyu and Siru wait in a single line, ready to be served by the first free clerk, with Mengyu at the head of the line (to be served first when a server becomes free), and Siru after Mengyu. 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 Leah completes service? (b) What is the probability that Leah is still in service after 6 minutes?...
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- Spring '11
- Operations Research