Reliability analysis of time-dependent cascade system with deterministic cycle times

Gopalan, M.N.; Venkateswarlu, P.

doi:10.1016/s0026-2714(82)80198-4

Cited by 11 publications

(4 citation statements)

References 2 publications

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“…Bilikam et al, [1] ,Kechengshen [2] , M.N.Gopalan [3] and Dongshang chang [4]. In the present paper, we have discussed deterministic stress and random fixed strength and vice versa, we had take Exponential and Rayleigh distributions.…”

Section: Introdutionmentioning

confidence: 93%

Reliability of time dependent stress-strength system for various distributions

Swathi¹,

Maheswari²

2012

IOSR-JM

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I. IntrodutionTime dependent stress strength models by considering with the repeated application of stress and also considering the change of the distribution of strength with time. "Stress" is used to indicate any agency that tends to induce "failure", while "Strength" indicates any agency resisting "failure". "Failure is defined to have occurred when the actual stress exceed the actual strength.There is uncertainty about the stress and strength random variables at any instant of time and also about the behavior of the random variables with respect to time and cycles .The two terms "deterministic" and "random fixed" are used to describe these two uncertainties .In deterministic , the variables assumes values that are exactly known a priori .Random fixed refers to the behavior of the variable with respect to time is fixed or the variable varies in time in a known manner .The failure of components under repeated stresses had been investigated primarily .Repeated stresses are characterized by the time, each load applied and the behavior of time intervals between the application of loads.We prefer n R the reliability after n cycles , to R(t), the reliability at time t , where t is continuous .Simply when cycle times are deterministically known R(t)= n R , n t < t ≤ 1 In the present paper, we have discussed deterministic stress and random fixed strength and vice versa, we had take Exponential and Rayleigh distributions. Reliability computations were done for different cycle lengths .The result is that the system reliability rapidly changes in Rayleigh distribution than the Exponential distribution.

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Section: Introdutionmentioning

confidence: 93%

Reliability of time dependent stress-strength system for various distributions

Swathi¹,

Maheswari²

2012

IOSR-JM

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“…Stress-strength reliability models with stress or strength or both having dynamic characteristic are called dynamic or time-dependent stress-strength reliability models. Yadav (1973) and Gopalan & Venkateswarlu (1982;1983) had studied several time-dependent models. An example of a deteriorating multi-component system is our mobile phone.…”

Section: Introductionmentioning

confidence: 99%

Stress-Strength Reliability Estimation of Time-Dependent Models with Fixed Stress and Phase Type Strength Distribution

Jose

Drisya

2021

Rev. colomb. estad.

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The time-dependent stress-strength reliability models deal with systems whose strength or the stress imposed on it or both are time-dependent. In this paper, we consider time-dependent stress-strength reliability model which is subjected to constant stress and it causes a change in the strength of the system over each run of the system. Assuming a continuous phase- type distribution for the initial strength and exponential distribution for the duration of each run of the system called cycle time we derived the expression for the stress-strength reliability of the system at time t. The model is further extended to the cases where cycle time distribution is Gamma and Weibull. Simulation studies are conducted to assess the variations in stress-strength reliability, R(t) at diﬀerent time points, corresponding to the changes in the initial strength distribution and cycle time distribution.

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“…Simply when cycle times are deterministically known ( ) = , < ≤ +1 ,where is instant in time at which the th i cycle occurs .The time dependent load was discussed by several researchers. Some of them are Bilikam etal [1] ,Kechengshen [2] , M.N.Gopalan [3] and Dongshang chang [4].…”

Section: Introductionmentioning

confidence: 99%

Reliability of Time Dependent Stress-Strength System for Half Logistic Distribution

Swathi¹

2016

IJERT

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Failure of a system may occur due to certain type of stresses acting on them. If these stresses do not exceed a certain threshold value the system may work for a long period. On the other hand, if the stresses exceed the threshold they may fail within no time. There is uncertainty about stress and strength random variables at any instant of time and also about the behavior of the variables with respect to time and cycles. Time dependent stress-strength models are considered with repeated application of stress and also the change of the strength with time. Reliability of time dependent stressstrength system is carried out by considering each of stress variables are random-fixed and strength variables are randomindependent and vice versa and deterministic stress and random independent strength and vice-versa for stress-strength follow Half Logistic Distribution. It is observed from the computations that the reliability of the system is depending on the stress parameter and the strength parameter and another constant parameters

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Reliability analysis of time-dependent cascade system with deterministic cycle times

Cited by 11 publications

References 2 publications

Reliability of time dependent stress-strength system for various distributions

Reliability of time dependent stress-strength system for various distributions

Stress-Strength Reliability Estimation of Time-Dependent Models with Fixed Stress and Phase Type Strength Distribution

Reliability of Time Dependent Stress-Strength System for Half Logistic Distribution

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