Characterize the departure process of class a customers

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Consider a queueing system with two classes of customers, type A and type B. Type A customers arrive according to a Poisson process of rate λA and customers of type B arrive according to an independent Poisson process of rate λB. The queue has a FCFS server with exponential IID service times of rate μ > λA + λB. Characterize the departure process of class A customers; explain carefully. Hint: Consider the combined arrival process and be judicious about how to select between A and B types of customers.

Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.

Reference no: EM13908971

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