Reliability of manufacturing equipment in complex environments

We present two stochastic failure models for the reliability evaluation of manufacturing equipment that degrades due to its complex operating environment. The first model examines the case when the environment is a temporally nonhomogeneous continuous-time Markov chain, and the second assumes the en...

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Bibliographic Details
Published inAnnals of operations research Vol. 209; no. 1; pp. 231 - 254
Main Authors Kharoufeh, Jeffrey P., Cox, Steven M., Oxley, Mark E.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.10.2013
Springer
Springer Nature B.V
Subjects
Business and Management
Combinatorics
Degradation
Failure
Failure mode and effects analysis
Industrial equipment
Laplace transforms
Manufacturing
Manufacturing processes
Markov analysis
Markov chains
Mathematical analysis
Operations research
Operations Research/Decision Theory
Partial differential equations
Production management
Random variables
Reliability
Reliability (Engineering)
Stochastic analysis
Stochastic models
Stochasticity
Studies
Theory of Computation
Transforms
United States
Random Environment
Lifetime Distribution
Sojourn Time
Functional Central Limit Theorem
Sojourn Time Distribution
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Summary:We present two stochastic failure models for the reliability evaluation of manufacturing equipment that degrades due to its complex operating environment. The first model examines the case when the environment is a temporally nonhomogeneous continuous-time Markov chain, and the second assumes the environment is a temporally homogeneous semi-Markov process on a finite space. Derived are transform expressions for the lifetime distributions. A few examples are provided to illustrate the main results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-011-0839-x