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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

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Problem 3 Customers arrive to a two-server system according to a Poisson process having rate = 4. An arrival finding server 1 free will begin service with that server. Arrivals 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 rates i, where μ₁ = 4 and 2 = 2. What is the average time an entering customer spends in the system?

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