IND ENG 161 Midterm: ieor161-sp2009-mt1-Lim-exam
8 Jan 2019
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The service time of each server is an exponential random variable, where the rate of server 1 is 1 while that of server 2 is 2. Customers arrive according to a poisson process with rate . Customers arriving at the counter and nding both servers busy wait in a queue. The customer at the head of the line goes into service when a server becomes free. Assume that service times and arrivals are independent. (a) suppose both servers are busy. What is the probability that there are exactly two people in the queue when one of the servers nishes service? (b) suppose that both servers are currently idle.
