Different Operational States
I want to define different operational states for a machine. Say, a machine have 2 operational states and a down state. It goes from state 1 to state 0 with geometric probability p1 (failure) and from state 2 to state 1 or state 0 with geometric probability p2 (degradation) and p3 (failure), respectively. The geometric repair/maintenance probabilities r1, r2, and r3 are used for state changes from 0 to 1, 1 to 2, and 0 to 2.
How can I model this? I appreciate your kind help and suggestions. Thanks.