Degradation Models With Wiener Diffusion Processes Under Calibrations

Cui, Lirong; Huang, Jin; Li, Yan

doi:10.1109/tr.2015.2484075

Cited by 46 publications

(17 citation statements)

References 13 publications

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“…[40] obtained the distribution of FPT from the extreme value distribution of nonlinear drift Brownian motion, which was applied in Refs. [41] and [42] for singlephase nonlinear WP. Then the following Lemma 1 gives the expression without considering the unit specific properties.…”

Section: A Basic Lemmas and Statistical Inferencementioning

confidence: 99%

Reliability Analysis for Multi-Phase Wiener Processes Considering Phase- Varying Nonlinearity

Wang

Zhang

Liu³

et al. 2020

IEEE Access

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Section: A Basic Lemmas and Statistical Inferencementioning

confidence: 99%

Reliability Analysis for Multi-Phase Wiener Processes Considering Phase- Varying Nonlinearity

Wang

Zhang

Liu³

et al. 2020

IEEE Access

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“…Deterioration models have become an important mathematical tool for analyzing such complex systems. There have been numerous studies on deterioration analysis in the literature . Stochastic and general path models are two main methodologies commonly used in deterioration analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Inherent uncertainties of the deterioration processes make the stochastic process a better modeling alternative. The Wiener, Gamma, and Gaussian processes are three widely used classes of stochastic deterioration models in the literature . The deterioration path of some products such as automobile tires, carbon films, and fluorescent light bulbs can be modeled by linear deterioration models …”

Section: Introductionmentioning

confidence: 99%

A novel replacement policy for a linear deteriorating system using stochastic process with dependent components

Poladova

Tekin

Khaniyev

2019

Appl Stoch Models Bus & Ind

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In this study, a mechanical system with linear deterioration and preventive maintenance is considered. The state of the system over time is represented by a semicontinuous stochastic process with dependent components. The system cycles through on and off periods during its lifetime. The state of the system deteriorates linearly as a function of the usage time during on periods. When the system is offline, preventive maintenance is conducted, which improves the system state by a random amount. The system's on and off times and random improvement amounts are assumed to have general distributions. For such a system, our objective is to determine the expected value and variance for the number of preventive maintenance activities needed during the system lifetime and to propose a novel replacement policy for the system based on delay‐time modeling. Finally, the effectiveness of the obtained asymptotic results and the proposed replacement policy are tested through simulation.

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“…Degradation modeling has received considerable attention by researchers and practitioners since degradation is an inevitable phenomenon that can result in unexpected failures in most engineering systems. A large body of the literature has focused on modeling degradation using stochastic processes including Markov chains, 1,2 Wiener processes, 3,4 and gamma processes. 5 Gamma processes in particular have been widely utilized since they show some attractive characteristics in modeling degradation.…”

Section: Introductionmentioning

confidence: 99%

Reliability modeling for systems degrading in K cyclical regimes based on gamma processes

Shen

Elwany

Cui

2018

Proceedings of the Institution of Mechanical Engineers, Part O:

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Regime switching models represent an important research direction in reliability engineering and degradation modeling. In practice, complex engineering systems typically operate under variable environmental conditions or mission requirements, each having distinct influence of system degradation. In this article, we study a system deteriorating in K cyclical regimes, where the degradation behavior of the system during each regime is governed by a distinct gamma process. We first derive the cumulative distribution function of the first passage time under this setting. Next, we determine system availability when maintenance actions are taken into consideration under the scenario where regime switching only takes place during the system uptime. Finally, we give some numerical examples to demonstrate and validate the proposed framework.

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Degradation Models With Wiener Diffusion Processes Under Calibrations

Cited by 46 publications

References 13 publications

Reliability Analysis for Multi-Phase Wiener Processes Considering Phase- Varying Nonlinearity

Reliability Analysis for Multi-Phase Wiener Processes Considering Phase- Varying Nonlinearity

A novel replacement policy for a linear deteriorating system using stochastic process with dependent components

Reliability modeling for systems degrading in K cyclical regimes based on gamma processes

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