Consider a system with Poisson arrival process with parameter ? and service times with a certain…

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Consider a system with Poisson arrival process with parameter λ and service times with a certain PDF py(a), a ≥ 0. Find the probability P that an arriving customer is immediately served and the mean queueing time mw for the following distributions of the service time:
1. Constant, with y = C.
2. Uniform in [0, 2C].
3. Exponential with my = C. Which case is preferable?
 

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