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Describe the behaviour of the system by a markov chain

Question:

A 2-server loss system is subject to a homogeneous Poisson input with intensity The situation considered in the previous exercise is generalized as follows: If λ. both servers are idle, a customer goes to server 1 with probability p and to server 2 with probability .

Otherwise, a customer goes to the idle server (if there is any). 1 - p The service times of the servers 1 and 2 are independent, exponential random variables with parameters µ1 and µ2 respectively. μ All arrival and service times are inde- 1 μ2, pendent. Describe the behaviour of the system by a suitable homogeneous Markov chain and draw the transition graph.

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