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

A 2-server loss system is subject to a homogeneous Poisson input with intensity λ. The situation considered in the previous exercise is generalized as follows: If 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.  All arrival and service times are independent.

Describe the behaviour of the system by a suitable homogeneous Markov chain and draw the transition graph.