Analysis of time-to-failure data for a repairable system subject to degradation

Etminan, Javad; Kamranfar, Hoda; Chahkandi, Majid; Fouladirad, Mitra

doi:10.1016/j.cam.2022.114098

Cited by 3 publications

(3 citation statements)

References 29 publications

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“…Here, it should be noted that although P i (t, x)(i � 2, 3) is only defned as 0⩽x < t, but for the sake of discussion, P i (t, x)(i � 2, 3) can be defned according to the actual physical background of the system and P i (t, x)(i � 2, 3) is extended on x > t, that is, supplementary defnition P i (t, x) � 0, x > t, i � 2, 3. At the same time, the system is out of state i(i � 2, 3) of the risk function; that is, the fx quotiety of the faulty component in the system in the state i(i � 2, 3) can be defned as follows by the conditional probability [21,22]:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In literatures [10][11][12][13][14][15], Kamranfar et al studied the stability of repairable systems. On the basis of discussing the asymptotic stability of the solutions of a repairable system with two diferent components connected in parallel, Wang et al studied the controllability of the system in the zero state and the criterion of using the controllability of the system in literatures [16][17][18][19][20][21][22][23][24], and obtained the corresponding optimal control element of the system by using the minimization sequence, thus solving the optimal control problem of the system solution. In other literatures, the reliability index of the system is obtained by quantitative analysis.…”

Section: Introductionmentioning

confidence: 99%

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Research on the Reliability of a Two-Robot Security System with Early Warning Function

Cui

Tao

2023

Journal of Mathematics

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In this paper, the mathematical model of a kind of two-robot security system with an early warning function is studied. By using strongly continuous operator semigroup theory and Volterra integral equation theory, the properties of the semigroup of the system operator, the existence and uniqueness of nonnegative solution, and the well-posedness of solution are discussed, respectively. Under the assumption that the failure rate and repair rate of the system are constants, the equations of the robot system are transformed into an ordinary differential equation group, and then the instantaneous reliability and stable-state reliability of the system are obtained. The reliability and zero-state controllability of the system are proved. Finally, the numerical solution of the system model is obtained by using MATLAB mathematical software, and the corresponding numerical simulation diagram is given. The results show that the conclusions of numerical calculation and numerical simulation are in accordance with the results of reliability theory, thereby the reliability of the robot safety system is verified.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on the Reliability of a Two-Robot Security System with Early Warning Function

Cui

Tao

2023

Journal of Mathematics

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“…We plan to consider the relevant inferential issues while developing further our model. This can be done using approaches developed in some recent relevant publications (see, e.g., Salles et al (2020), Kamranfar et al (2021), Etminan et al (2022)).…”

Section: Introductionmentioning

confidence: 99%

Reducing degradation and age of items in imperfect repair modeling

Finkelstein

Hwan

2022

TEST

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We develop new models for imperfect repair and the corresponding generalized renewal processes for stochastic description of repairable items that fail when their degradation reaches the specified deterministic or random threshold. The discussion is based on the recently suggested notion of a random virtual age and is applied to monotone processes of degradation with independent increments. Imperfect repair reduces degradation of an item on failure to some intermediate level. However, for the nonhomogeneous processes, the corresponding age reduction which sets back the 'clock' of the process is also performed. Some relevant stochastic comparisons are obtained. It is shown that the cycles of the corresponding generalized imperfect renewal process are stochastically decreasing/increasing depending on the monotonicity properties of the failure rate that describes the random failure threshold of an item.

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Residual Lifetime of Repairable Systems and Phase type Approximation

Goli

Mahmoodi

2023

Quality Technology & Quantitative Management

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Analysis of time-to-failure data for a repairable system subject to degradation

Cited by 3 publications

References 29 publications

Research on the Reliability of a Two-Robot Security System with Early Warning Function

Research on the Reliability of a Two-Robot Security System with Early Warning Function

Reducing degradation and age of items in imperfect repair modeling

Residual Lifetime of Repairable Systems and Phase type Approximation

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