Reliability Calculus on Crack Propagation Problem with a Markov Renewal Process

Papamichail, Chrysanthi; Bouzebda, Salim; Limnios, Nikolaos

doi:10.1007/978-3-319-27996-1_13

Cited by 3 publications

(1 citation statement)

References 12 publications

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“…Using Markov process modeling can calculate the probability of a system with multiple degradation states and accurately predict the degradation trend of products. Papamichael et al [30] used a Markov process to simulate the perturbation process of a degenerate evolution system and proposed a new analytical solution based on Markov renewal theory. The test results of this method exhibit good agreement with those estimated using the Monte Carlo method.…”

Section: Research Status Of Accelerated Degradation Data Modelingmentioning

confidence: 99%

A literature review on the planning and analysis of accelerated degradation testing for mechanical products

Yu,

Hao,

Tong

et al. 2024

ACE

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High reliability and long life are typical requirements for mechanical products. The performance requirements of mechanical products are increasing as science and technology develop, and the environment and working stress they bear are becoming more diverse. This issue has become one of the bottlenecks for mechanical products in lifespan and reliability generally. The aim of this study is to categorize, examine, and review the most applicable accelerated testing methods for mechanical products. The research status of accelerated modeling methods, statistical analysis, and design optimization of accelerated degradation testing(ADT) technology are reviewed. On the basis of literature analysis, the deficiencies and possible development directions of ADT were summarized and prospected. This work is anticipated to serve as a reference and provide important insights into the reliability of mechanical products.

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Section: Research Status Of Accelerated Degradation Data Modelingmentioning

confidence: 99%

A literature review on the planning and analysis of accelerated degradation testing for mechanical products

Yu,

Hao,

Tong

et al. 2024

ACE

View full text Add to dashboard Cite

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The uniform CLT for the empirical estimator of countable state space semi-Markov kernels indexed by functions with applications

Bouzebda

Limnios

2022

Journal of Nonparametric Statistics

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Method of Testing the Readiness of Means of Transport With the Use of Semi-Markov Processes

Borucka

2021

Transport

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In the analysis of the readiness of means of transport, the Markov and semi-Markov processes are particularly applicable, allowing for the description of the usage process over long periods of time, determination of indicators of the exploitability and readiness of the used set of objects, as well as simulation of long-term forecasts of the usage process results. The studies presented in the literature usually concern the theoretical side of the matter, mainly the construction of formal models of the process of changing the operating states of a vehicle. Less attention is paid to the empirical side, especially with regard to the actual conditions of use. Examples of experimental observations presented in the literature most often concern individual cases. This paper lists selected irregularities and presents an example of a study of a real transport system based on semi-Markov processes.

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Reliability Calculus on Crack Propagation Problem with a Markov Renewal Process

Cited by 3 publications

References 12 publications

A literature review on the planning and analysis of accelerated degradation testing for mechanical products

A literature review on the planning and analysis of accelerated degradation testing for mechanical products

The uniform CLT for the empirical estimator of countable state space semi-Markov kernels indexed by functions with applications

Method of Testing the Readiness of Means of Transport With the Use of Semi-Markov Processes

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