State Transition Matrix and Transition Diagram of k-out-of-n-:G System With Spares

This paper presents an algorithm for generating all states and the state transition matrix of a k-out-of-n:G system with spares. A simple method is developed to determine the transition diagram of this system without calculating the state transition matrix. The model extends the usual k-out-of-n:G system by considering repair, installation, spares, and off-line failures. Units are i.i.d. and have 3 states.