Eigenvalue-eigenvector solutions for two general markov models in reliability
Abstract Markov models for a general availability model and for a general relibility model are described. Each model represents a system composed of components having independent, constant failure rates, and in the case of the availability model, independent, constant repair rates. Solutions to the respective sets of differential equations are given in terms of the eigenvalues, eigenvectors and arbitrary initial conditions of the systems. The eigenvalues, eigenvector matrices, and inverse eigenvector matrices are given in analytic expressions.