Customers arrive at a two-server station in accordance with a Poisson process having rate 2. Upon arriving,
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Customers arrive at a two-server station in accordance with a Poisson process having rate 2.
Upon arriving, they join a single queue. Whenever a server completes a service, the person first in line enters service. The service times of server i are exponential with rate , 1, 2, where > . An arrival finding both servers free is equally likely to go to either one. Define an appropriate continuous-time Markov chain for this model, show it is time reversible, and find the limiting probabilities. H
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