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Parts arrive at a machine press according to a Poisson process with rate . Parts are processed one at a time by the machine press

Parts arrive at a machine press according to a Poisson process with rate . Parts are processed one at a time by the machine press in the order in which they arrived. Once at the machine press, parts go through two tasks. The first task takes a uniformly distributed amount of time between 0 an 1, and the second task takes an exponentially distributed amount of time with rate 1. A part leaves the machine press once both tasks have been completed. (a) Model this system as some type of queue, and express it using Kendall's notation. (b) Assuming that < 2/3, find the long run average time that a part spends in the system

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