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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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This note was uploaded on 01/26/2011 for the course IEOR 4106 taught by Professor Whitt during the Spring '08 term at Columbia.
- Spring '08
- Operations Research