Question: Consider a queueing system, which has one server. To serve a customer, a server requires a random length of time, distributed as Exp (

Consider a queueing system, which has one server. To serve a customer, a server requires a random length of time, distributed as Exp(\mu ). Potential customers arrive at the system according to PP(\lambda ). If the arrival finds n customers already in the system, then the arrival will enter the system with probability 1/n2. When n =0, the entering probability is 1. Suppose the event that the arrival chooses to enter the system. The arrival will be immediately served if there is an idle server, that is, the arrival finds n =0 customers already in the system. Else, if the arrival finds n >=1 custo

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