Multistate Markov Models and Structural Properties of the Transition-Rate Matrix
- 1 June 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. 35 (2) , 192-200
- https://doi.org/10.1109/tr.1986.4335402
Abstract
This paper explains how to use Markov models for evaluating the availability and reliability of a system when the transition rates of each component depend on the state of the system. To this purpose, the structural properties of the system transition-rate matrix, obtained by the Kronecker sum of transition rate matrices of the components, are analyzed. As a result, an efficient use of the Markov model is possible by mapping the transition rates of the single components into the elements of the system transition-rate matrix. The potential of parallel computers can facilitate this approach, giving renewed interest to the Markov method for complex systems.Keywords
This publication has 3 references indexed in Scilit:
- System-Reliability Evaluation Techniques for Complex/Large SystemsߞA ReviewIEEE Transactions on Reliability, 1981
- Computer-Oriented Formulation of Transition-Rate Matrices via Kronecker AlgebraIEEE Transactions on Reliability, 1981
- Markov Processes for Reliability Analyses of Large SystemsIEEE Transactions on Reliability, 1977