Statistical Reliability Based Modeling of Series and Parallel Operating Systems using Extreme Value Theory
| Main Authors: | Mohamad Mahdavi, Mojtaba Mahdavi |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2011
|
| Online Access: |
https://zenodo.org/record/1333460 |
| ctrlnum |
1333460 |
|---|---|
| fullrecord |
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<dc schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><creator>Mohamad Mahdavi</creator><creator>Mojtaba Mahdavi</creator><date>2011-07-23</date><description>This paper tries to represent a new method for
computing the reliability of a system which is arranged in series or
parallel model. In this method we estimate life distribution function
of whole structure using the asymptotic Extreme Value (EV)
distribution of Type I, or Gumbel theory. We use EV distribution in
minimal mode, for estimate the life distribution function of series
structure and maximal mode for parallel system. All parameters also
are estimated by Moments method. Reliability function and failure
(hazard) rate and p-th percentile point of each function are
determined. Other important indexes such as Mean Time to Failure
(MTTF), Mean Time to repair (MTTR), for non-repairable and
renewal systems in both of series and parallel structure will be
computed.</description><identifier>https://zenodo.org/record/1333460</identifier><identifier>10.5281/zenodo.1333460</identifier><identifier>oai:zenodo.org:1333460</identifier><language>eng</language><relation>doi:10.5281/zenodo.1333459</relation><rights>info:eu-repo/semantics/openAccess</rights><rights>https://creativecommons.org/licenses/by/4.0/legalcode</rights><source>International Journal of Mechanical, Industrial and Aerospace Sciences 4.0(7)</source><title>Statistical Reliability Based Modeling of Series and Parallel Operating Systems using Extreme Value Theory</title><type>Journal:Article</type><type>Journal:Article</type><recordID>1333460</recordID></dc>
|
| language |
eng |
| format |
Journal:Article Journal |
| author |
Mohamad Mahdavi Mojtaba Mahdavi |
| title |
Statistical Reliability Based Modeling of Series and Parallel Operating Systems using Extreme Value Theory |
| publishDate |
2011 |
| url |
https://zenodo.org/record/1333460 |
| contents |
This paper tries to represent a new method for
computing the reliability of a system which is arranged in series or
parallel model. In this method we estimate life distribution function
of whole structure using the asymptotic Extreme Value (EV)
distribution of Type I, or Gumbel theory. We use EV distribution in
minimal mode, for estimate the life distribution function of series
structure and maximal mode for parallel system. All parameters also
are estimated by Moments method. Reliability function and failure
(hazard) rate and p-th percentile point of each function are
determined. Other important indexes such as Mean Time to Failure
(MTTF), Mean Time to repair (MTTR), for non-repairable and
renewal systems in both of series and parallel structure will be
computed. |
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2022-06-06T05:47:24Z |
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