The system considered in example 5.7 is generalized as follows: If the system makes a direct transition from state 0 to the blocking state 2, then the subsequent renewal time is exponential with...

The system considered in example 5.7 is generalized as follows: If the system makes a direct transition from state 0 to the blocking state 2, then the subsequent renewal time is exponential with parameter μ₀. If the system makes a transition from μ0. state 1 to state 2, then the subsequent renewal time is exponential with parameter μ₁.

(1) Describe the behaviour of the system by a Markov chain and draw the transition graph.

(2) What is the stationary probability that the system is blocked?