Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Time-Dependent Stress-Strength Reliability Models with Phase-Type Cycle Times

Time-Dependent Stress-Strength Reliability Models with Phase-Type Cycle Times AbstractThe estimation of stress-strength reliability in a time-dependentcontext deals with either the stress or strength or both dynamic.The repeated occurrence of stress in random intervals of timeinduces a change in the distribution of strength over time. Inthis paper, we study the stress-strength reliability of a systemwhose strength reduces by a constant over each run and the stressis considered as either fixed over time or as increasing by aconstant over each run. The number of runs in any interval of timeis assumed to be random. The stress-strength reliability of thesystem is obtained, assuming continuous phase-type distributionfor the duration of time taken for completion of each run in anyinterval of time and Weibull or gamma distribution forinitial stress and strength. We obtain matrix-basedexpressions for the stress-strength reliabilityand numerical illustrations are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Time-Dependent Stress-Strength Reliability Models with Phase-Type Cycle Times

Economic Quality Control , Volume 35 (2): 16 – Dec 1, 2020

Loading next page...
 
/lp/de-gruyter/time-dependent-stress-strength-reliability-models-with-phase-type-WuEr2XL0Oi
Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2020-0023
Publisher site
See Article on Publisher Site

Abstract

AbstractThe estimation of stress-strength reliability in a time-dependentcontext deals with either the stress or strength or both dynamic.The repeated occurrence of stress in random intervals of timeinduces a change in the distribution of strength over time. Inthis paper, we study the stress-strength reliability of a systemwhose strength reduces by a constant over each run and the stressis considered as either fixed over time or as increasing by aconstant over each run. The number of runs in any interval of timeis assumed to be random. The stress-strength reliability of thesystem is obtained, assuming continuous phase-type distributionfor the duration of time taken for completion of each run in anyinterval of time and Weibull or gamma distribution forinitial stress and strength. We obtain matrix-basedexpressions for the stress-strength reliabilityand numerical illustrations are also discussed.

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2020

There are no references for this article.