On Stress-Strength Reliability with a Time-Dependent Strength

Eryılmaz, Serkan

doi:10.1155/2013/417818

Cited by 25 publications

(11 citation statements)

References 17 publications

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“…For more details, see Chiodo et al [4], Chiodo and Mazzanti [5] and Eryılmaz [10]. Clearly, using (3.4) and (3.5) for t = 0.1, 0.2, · · · , 2 and selected values of the parameters θ 1 and θ 2 , we can obtain D (t) KL(l) and R l (t) values presented in Table 1.…”

Section: Gamma Distributional Examplementioning

confidence: 95%

Dynamic reliability evaluation for a multi-state component under stress-strength model

Çalik¹

2017

J. Nonlinear Sci. Appl.

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For many technical systems, stress-strength models are of special importance. Stress-strength models can be described as an assessment of the reliability of the component in terms of X and Y random variables where X is the random "stress" experienced by the component and Y is the random "strength" of the component available to overcome the stress. The reliability of the component is the probability that component is strong enough to overcome the stress applied on it. Traditionally, both the strength of the component and the applied stress are considered to be both time-independent random variables. But in most of real life systems, the status of a stress and strength random variables clearly change dynamically with time. Also, in many important systems, it is very necessary to estimate the reliability of the component without waiting to observe the component failure. In this paper we study multi-state component where component is subjected to two stresses. In particular, inspired by the idea of Kullback-Leibler divergence, we aim to propose a new method to compute the dynamic reliability of the component under stress-strength model. The advantage of the proposed method is that Kullback-Leibler divergence is equal to zero when the component strength is equal to applied stress. In addition, the formed function can include both stresses when two stresses exist at the same time. Also, the proposed method provides a simple way and good alternative to compute the reliability of the component in case of at least one of the stress or strengths quantities depend on time.

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Section: Gamma Distributional Examplementioning

confidence: 95%

Dynamic reliability evaluation for a multi-state component under stress-strength model

Çalik¹

2017

J. Nonlinear Sci. Appl.

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“…Eryilmaz [20]). Thus we observe that the Clayton copula is a natural model which comes out from a particular stress-strength interference.…”

Section: Evaluation Of Rðtþ For Different Copulasmentioning

confidence: 99%

Multivariate copula based dynamic reliability modeling with application to weighted-k-out-of-n systems of dependent components

Eryılmaz

2014

Structural Safety

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“…AC N Raghavachar et al [3] studied the survival function under stress attenuation in cascade reliability. Serkan Eryilmaz [4] discussed the stress strength reliability with a time dependent strength. K C Siju and M Kumar [5] discussed the reliability analysis of time dependent stress strength model with random cycle times.…”

Section: Introductionmentioning

confidence: 99%

Research on Stress-Strength Model under Random Repeated Cycles

2019

IJITEE

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The system leads to fail when the impact of repeated stresses. In some situations there is uncertainty about the stress and the strength random variables at any instant of time and also about the behaviour of the random variables with respect to time and/or cycles. The repeated cycles may occur in known or unknown timings. The terms random fixed and random independent are used to describe these uncertainties. The survival function as the probability of survival of a system beyond any given time has been derived for the impact of repeated stresses and when the number of cycles occur in poisson distribution and geometric distribution when stress and strength follow random independent and also random fixed which follow weibull distribution with different parameters.

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On Stress-Strength Reliability with a Time-Dependent Strength

Cited by 25 publications

References 17 publications

Dynamic reliability evaluation for a multi-state component under stress-strength model

Dynamic reliability evaluation for a multi-state component under stress-strength model

Multivariate copula based dynamic reliability modeling with application to weighted-k-out-of-n systems of dependent components

Research on Stress-Strength Model under Random Repeated Cycles

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