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Evaluating Bounds on Steady-State Availability of Repairable Systems from Markov Models*
| Content Provider | Scilit |
|---|---|
| Author | Lui, John C. S. Muntz, Richard R. |
| Copyright Year | 2021 |
| Description | System availability is an important reliability measure for computer system designers. Most often Markov models are used in representing systems for reliability analysis. Due to the complex interactions between components, in general no closed-form solution can be obtained. Also, the model often has an unmanageable state space and it quickly becomes impractical to even generate all the states in the system model. In this paper, we will present a method for bounding steady-state availability and at the same time, drastically reduce the size of the Markov chains that must be solved. In [7], a method of analysis is developed in which part of the state space is represented in detail but the vast majority is approximated with a few states. The methodology provides bounds on steady-state availability. Here we extend the work in [7], which requires an a priori decision to be made concerning the amount of 436detail to represent (and therefore the tightness on the bounds). This paper extends those results to allow piecewise generation of the transition matrix such that at each step the bounds can be incrementally improved. We believe the approach may be applicable more generally, but at present we require certain assumptions that are valid (and reasonable) for reliability models. Book Name: Numerical Solution of Markov Chains |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003210160-23&type=chapterpdf |
| Ending Page | 453 |
| Page Count | 19 |
| Starting Page | 435 |
| DOI | 10.1201/9781003210160-23 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2021-06-16 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Numerical Solution of Markov Chains Automotive Engineering Models Bounds State Availability Steady State Bounding Steady Markov Extend State Space |
| Content Type | Text |
| Resource Type | Chapter |
