Power-Hierarchy of Dependability-Model Types

Published

Journal Article

This paper formally establishes a hierarchy, among the most commonly used types of dependability models, according to their modeling power. Among the combinatorial (non-state-space) model types, we show that fault trees with repeated events are the most powerful in terms of kinds of dependencies among various system components that can be modeled (which is one metric of modeling power). Reliability graphs are less powerful than fault trees with repeated events but more powerful than reliability block diagrams and fault trees without repeated events. By virtue of the constructive nature of our proofs, we provide algorithms for converting from one model type to another. Among the Markov (state-space) model types, we consider continuous-time Markov chains, generalized stochastic Petri nets, Markov reward models, and stochastic reward nets. These are more powerful than combinatorial-model types in that they can capture dependencies such as a shared repair facility between system components. However, they are analytically tractable only under certain distributional assumptions such as exponential failure- & repair-time distributions. They are also subject to an exponentially large state space. The equivalence among various Markov-model types is well known and thus only briefly discussed. © 1994 IEEE

Full Text

Duke Authors

Cited Authors

  • Malhotra, M; Trivedi, KS

Published Date

  • January 1, 1994

Published In

Volume / Issue

  • 43 / 3

Start / End Page

  • 493 - 502

Electronic International Standard Serial Number (EISSN)

  • 1558-1721

International Standard Serial Number (ISSN)

  • 0018-9529

Digital Object Identifier (DOI)

  • 10.1109/24.326452

Citation Source

  • Scopus