Optimal Design for Degradation Tests Based on Gamma Processes With Random Effects

Tsai, Chen-Chi; Tseng, Sheng‐Tsaing; Balakrishnan, N.

doi:10.1109/tr.2012.2194351

Cited by 143 publications

(63 citation statements)

References 28 publications

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“…In addition, as a result of uncertain random factors in the testing environment, there is a rising trend in the curve in Figure 1. In light of the above features of the bearing relative temperature, we used the Wiener process for modeling [6][7][8][9][10][11]. This mathematical model can be expressed as follows:…”

Section: Degradation Modelmentioning

confidence: 99%

“…To analyze the reliability of the light emitting diode, Wang [9] studied the two types of lifetime prediction based on gamma processes. Tsai [10] used the gamma process to provide information about the reliability of highly reliable products that are not likely to fail within a reasonable period of time under traditional life tests, or even accelerated life tests. Although the Wiener process has been widely applied in terms of degradation modeling, in all of the above models, the parameters' estimation was commonly based on the same distribution and large sample.…”

Section: Introductionmentioning

confidence: 99%

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Reliability Analysis of the High-speed Train Bearing Based on Wiener Process

Zhu

Nan

2018

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Abstract:Because of the existence of uncertainty measurement in the process of bearings degradation, it is difficult to carry out the reliability analysis. The random performance degradation model is used to analyze the reliability life of high-speed train bearing with the characteristics of slow degradation process and relatively stable degradation path. The unknown coefficients are viewed as random variables in the model. According to the analysis to a bearing testing data, the reliability analysis of the bearing life is finally completed. The results show that the method can assess reliability of the bearing life with zero failure by taking full advantage of the performance degradation data in the small sample size.

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Section: Degradation Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability Analysis of the High-speed Train Bearing Based on Wiener Process

Zhu

Nan

2018

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“…Lawless and Crowder [10] considered that the scale parameter of the gamma process have different realizations among products, and let the parameter to be random following a gamma distribution. Different applications of this model can be found in Tsai et al [29], Wang et al [30], Wang [32], and Pulcini [25]. In the classical random effects gamma process model it can be noted that both the mean and variance of the process are affected by the random effect parameter, which results in a degradation process with random drift and random diffusion.…”

Section: Science and Technologymentioning

confidence: 99%

Reliability assessment for systems with two performance characteristics based on gamma processes with marginal heterogeneous random eﬀects

Rodríguez‐Picón¹

2016

EiN

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Article citation info: IntroductionIn recent years, important developments have been presented in the area of reliability inference of products and systems based on degradation models. Such models are important tools to obtain reliability information when few failure data is available [11], and consists in analyzing the gradual deterioration in performance of a performance characteristic (PC), also known as degradation process, in terms of the accumulated damage over time [27]. For some products, a failure would be defined at a specified critical level of degradation, which means that the product may not stop working completely as in the case of hard failures, but be defined when the cumulative degradation path crosses the critical level of degradation; such failures are known as soft failures. In general, if a failure can be defined in terms of a specified critical level of degradation it is possible to obtain a reliability assessment based on degradation process models [12]. Based on this, a modeling approach for degradation processes may consist in relating the degradation over time with a continuous stochastic process such that it is possible to describe the failure generating mechanisms.For certain PC, the desirable properties that a model must have to describe its degradation process are that the degradation process should always be positive and strictly increasing. In this paper, the gamma process is considered as a model to govern the degradation process of certain PC, given the characteristics that its increments are independent and non-negative having a gamma distribution that results in an always positive, strictly increasing stochastic process. As performance can only decrease over time, this is why it is considered to be suitable to model wear, crack growth, corrosion, consumption, fatigue, erosion, or any PC [16]. Some important applications of the gamma process in the reliability assessment of products can be found in Bagdonavicius and Nikulin [2], Park and Padgett [22], and Bagdonavicius and Nikulin [3].RodRíguez-Picón LA. Reliability assessment for systems with two performance characteristics based on gamma processes with marginal heterogeneous random effects. eksploatacja i niezawodnosc -Maintenance and Reliability 2017; 19 (1)

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“…Peng [4] uses a Wiener-process-based degradation model with a recursive filter algorithm to solve the problem of estimating the remaining useful life from the observed degradation data. Tseng [5] and Tang [6] et al have also adopted Wiener process to model. Wang [7] has studied the two kinds of the lifetime prediction based on Gamma processes.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of High-Speed Train Bearing Based on Random Performance Degradation in Minimum Sample

2017

IJOMAM

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-Considering that it is difficult to make the large sample test and obtain the failure data in the limited test time for high-speed train bearing (HSTB) test, the random performance degradation process model based on the degradation data of bearing relative temperature is used to obtain the reliability function of bearing life with the characteristics of the slow degradation process and relatively stable degradation path. The degradation path model is reasonably given through viewing the unknown coefficients of the model as random variables. According to the analysis to a bearing testing data, the reliability assessment of the bearing life is finally completed, while a guiding role is provided for the reliability assessment problem of HSTB.

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Optimal Design for Degradation Tests Based on Gamma Processes With Random Effects

Cited by 143 publications

References 28 publications

Reliability Analysis of the High-speed Train Bearing Based on Wiener Process

Reliability Analysis of the High-speed Train Bearing Based on Wiener Process

Reliability assessment for systems with two performance characteristics based on gamma processes with marginal heterogeneous random eﬀects

Reliability Assessment of High-Speed Train Bearing Based on Random Performance Degradation in Minimum Sample

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