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Degradationsmodelle×Dynamische Programmierung×Statistische Zuverlässigkeitsanalyse×
FachgebietReliabilitätOptimierungReliabilität
FamilieRegression modelProcess / pipelineRegression model
Entstehungsjahr199819571998
UrheberMeeker, Escobar & LuRichard BellmanWilliam Meeker & Luis Escobar
TypStochastic degradation path modelExact combinatorial optimization via recursive decompositionParametric lifetime modeling
Wegweisende QuelleMeeker, W. Q., Escobar, L. A., & Lu, C. J. (1998). Accelerated degradation tests: modeling and analysis. Technometrics, 40(2), 89–99. DOI ↗Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6Meeker, W. Q., & Escobar, L. A. (1998). Statistical Methods for Reliability Data. Wiley. ISBN: 978-0-471-14328-4
AliasnamenAccelerated Degradation Testing, Degradation Path Models, Performance Degradation Analysis, Bozunma ModelleriDP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik ProgramlamaLife Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik Analizi
Verwandt333
ZusammenfassungDegradation models estimate product lifetime by tracking measurable performance characteristics—such as crack length, light output, or insulation resistance—over time rather than waiting for outright failure. Introduced in rigorous form by Meeker, Escobar, and Lu (1998), these models fit a stochastic degradation path to repeated measurements and define failure as the first time the characteristic crosses a predetermined threshold, enabling reliable lifetime inference from accelerated test data with very few or no observed failures.Dynamic Programming (DP) is an exact optimization technique introduced by Richard Bellman in 1957 for solving multi-stage decision problems. It decomposes a complex problem into simpler, overlapping subproblems, solves each subproblem once, and stores the results to avoid redundant computation. Grounded in the Principle of Optimality, DP guarantees globally optimal solutions whenever the problem exhibits overlapping subproblems and optimal substructure.Statistical reliability analysis models the time-to-failure of components, systems, or products using parametric lifetime distributions fitted to observed or censored failure data. Formalized comprehensively by William Q. Meeker and Luis A. Escobar in their 1998 Wiley monograph, the framework integrates maximum likelihood estimation, censoring mechanisms, and distributional diagnostics to produce probability-of-failure curves, hazard rates, and quantile estimates that support design, warranty, and maintenance decisions.
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ScholarGateMethoden vergleichen: Degradation Models · Dynamic Programming · Reliability Analysis. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare