A Stochastic hierarchical system steady-state availability model
Date
2019
Authors
Musiga, Lydia
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Stochastic models are adept at modeling the dependability attributes of critical systems.
The dependability attributes include availability, reliability, safety, integrity,
maintainability, survivability, performance and confidentiality. This paper presents a novel
method of computing the steady-state availability of a system using the closed form
approach. Continuous Time Markov Chain models are instrumental in deriving the steadystate
availability balance equations of the system modules from which the closed form
solutions are obtained. Imperfect coverage and switch-over are incorporated into the
Continuous Time Markov Chain models where applicable.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Continuous Time Markov Chains, Availability