20. Customers arrive at a two-server system according to a Poisson process having rateI mage. An arrival
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20. Customers arrive at a two-server system according to a Poisson process having rateI mage. An arrival finding server 1 free will begin service with that server. An arrival finding server 1 busy and server 2 free will enter service with server 2. An arrival finding both servers busy goes away. Once a customer is served by either server, he departs the system. The service times at server i are exponential with ratesI mage, whereI mage.
(a) What is the average time an entering customer spends in the system?
(b) What proportion of time is server 2 busy?
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