Time-dependent reliability model of components with strength degradation based-on gamma process

Wu, Ying; Xie, Liyang; Wu, N.; Li, Jindong

doi:10.1109/icrms.2011.5979293

Cited by 16 publications

(15 citation statements)

References 8 publications

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“…For instance, in Wu et al (2011), a gamma process is employed to model gradual damage monotonically accumulating over time. In practice, the gamma process is intensively used in degradation modeling.…”

Section: Nonhomogeneous Gamma Processmentioning

confidence: 99%

Burn-in Procedure Based on a Dependent Covariate Process

Hwan

Pulcini

2015

Adv. Appl. Probab.

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Burn-in is a method of 'elimination' of initial failures (infant mortality). In the conventional burn-in procedures, to burn-in a component or a system means to subject it to a fixed time period of simulated use prior to actual operation. Then those which fail during the burn-in procedure are scrapped and only those which survived the burn-in procedure are considered to be of satisfactory quality. Thus, in this case, the only information used for the elimination procedure is the lifetime of the corresponding item. In this paper we consider a new burn-in procedure which additionally employs a dependent covariate process in the elimination procedure. Through the comparison with the conventional burn-in procedure, we show that the new burn-in procedure is preferable under commonly satisfied conditions. The problem of determining the optimal burn-in parameters is also considered and the properties of the optimal parameters are derived. A numerical example is provided to illustrate the theoretical results obtained in this paper.

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Section: Nonhomogeneous Gamma Processmentioning

confidence: 99%

Burn-in Procedure Based on a Dependent Covariate Process

Hwan

Pulcini

2015

Adv. Appl. Probab.

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“…In practice, the gamma process is intensively used in degradation modeling. For instance, in Wu et al (2011), a gamma process is employed to model gradual damage monotonically accumulating over time. In Tseng et al (2009) and Tsai et al (2012), optimal testing plans of gamma degradation models are discussed.…”

Section: Nonhomogeneous Gamma Processmentioning

confidence: 99%

Burn-in Procedure Based on a Dependent Covariate Process

Hwan¹,

Pulcini

2015

Advances in Applied Probability

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Burn-in is a method of ‘elimination’ of initial failures (infant mortality). In the conventional burn-in procedures, to burn-in a component or a system means to subject it to a fixed time period of simulated use prior to actual operation. Then those which fail during the burn-in procedure are scrapped and only those which survived the burn-in procedure are considered to be of satisfactory quality. Thus, in this case, the only information used for the elimination procedure is the lifetime of the corresponding item. In this paper we consider a new burn-in procedure which additionally employs a dependent covariate process in the elimination procedure. Through the comparison with the conventional burn-in procedure, we show that the new burn-in procedure is preferable under commonly satisfied conditions. The problem of determining the optimal burn-in parameters is also considered and the properties of the optimal parameters are derived. A numerical example is provided to illustrate the theoretical results obtained in this paper.

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“…As a specific process, in this paper, we consider the gamma process, which is widely used in reliability modeling of degrading items due to its clear meaning and mathematical tractability (see, e.g., Pan and Balakrishnan, Tseng et al, Tsai et al, Wu et al). An excellent survey on applications of gamma processes in maintenance modeling can be found in van Noortwijk.…”

Section: Introductionmentioning

confidence: 99%

On a new age‐replacement policy for items with observed stochastic degradation

Finkelstein

Hwan

Levitin

2020

Quality & Reliability Eng

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A new methodology for preventive maintenance of degrading items is discussed. It combines the classical age‐replacement strategy when a system is replaced either on failure or on reaching the predetermined age, with replacement on reaching the predetermined level of deterioration at some intermediate time. Degradation of an item is modeled by the nonhomogeneous gamma process, whereas its failure occurs when this process reaches the predetermined deterministic level. It is shown that the proposed policy outperforms the classical one, i.e., it achieves the lower value of the corresponding long‐run cost rate. The detailed numerical illustration is presented, and the relevant sensitivity analysis for the main parameters of the model is performed.

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Time-dependent reliability model of components with strength degradation based-on gamma process

Cited by 16 publications

References 8 publications

Burn-in Procedure Based on a Dependent Covariate Process

Burn-in Procedure Based on a Dependent Covariate Process

Burn-in Procedure Based on a Dependent Covariate Process

On a new age‐replacement policy for items with observed stochastic degradation

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