An exponential distribution with parameter

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Suppose that we modify the M/M/2 queueing system as follows: when a server is free, he assists (if needed) the other server, so that the service time, S, has an exponential distribution with parameter 2μ. If a new customer arrives while a customer is being served by the two servers at the same time, then one the servers starts serving the new customer.

(a) Calculate the limiting probabilities if we suppose that A μ.

(b) Suppose that the system capacity is c = 2 and that λ = μ₁. Calculate the average number of customers in the system in stationary regime, given that the system is not full.

Reference no: EM131130481

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