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Virginia Polytechnic Institute and State University

A stochastic model of component failure mechanisms

Abstract

dc:description.abstract

The progress of a unimolecular chemical degradation reaction is used in representing a component failure mechanism. The component is said to fail when the concentration of reaction product accumulates beyond an acceptable level. The process of accumulating reaction product is modelled as a Markov pure birth process which, in turn, is used in developing the failure time distribution. The model is analyzed under the assumption that the reaction rate is constant. Also, the initial state and the final state of the degradation process are assumed to be Poisson variables. Based on numerical examples, it is found that the failure model can be described as a three-parameter or two-parameter Weibull distribution.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Industrial Engineering and Operations Research
Department dc:contributor.department
Industrial Engineering and Operations Research
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1987

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Tran, Tram

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/80057
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/80057

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Tran, Tram. A stochastic model of component failure mechanisms. masters thesis, Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/80057