Load sharing M-out of-N: G system with non-identical components subject to common cause failure

Jain, Madhu; Gupta, Rupesh

doi:10.1504/ijmor.2012.048932

Cited by 28 publications

(15 citation statements)

References 18 publications

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“…Singh et al [27] developed the reliability of a parallel system with Lindy lifetime distribution components and the system parameters estimation are presented. Jain and Gupta [28] obtained the reliability and mean time to failure of a load sharing M -out-of-N system with non-identical and non-repairable components. Amari et al [29] gave an overview of the load-sharing systems.…”

Section: Introductionmentioning

confidence: 99%

Maintenance analysis of a two-component load-sharing system

Zhang¹,

Fouladirad²,

Barros³

2017

Reliability Engineering & System Safety

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This paper presents a two-component load-sharing system. The failure rates of the two components are time dependent and load dependent. Whenever one fails, it is imperfectly repaired with a time delay during which the failure rate of the survival component increases because of the resulting overload. Three maintenance policies are proposed considering imperfect preventive maintenance and system replacement. The optimal average costs in the long run under different maintenance policies are derived from the theoretical propositions. Sensitivity analyses through numerical examples are carried out.Keywords: Load-sharing system, multi-component systems, failure interaction, age replacement, imperfect repair, maintenance policy optimization, hoisting problem.failure rate of component i at time t, i = 1, 2. l i (t) load undertaken by component i at time t β i (t) nominal failure rate of component i at time t in absence of the load τ 0 duration of one mission τ duration between two consecutive imperfect repair in policy 1, τ = k 2 τ 0 , k 2 ∈ N

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Section: Introductionmentioning

confidence: 99%

Maintenance analysis of a two-component load-sharing system

Zhang¹,

Fouladirad²,

Barros³

2017

Reliability Engineering & System Safety

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“…When -out-of-: system is considered for modelling, the exponential distributions of random times involved are usually assumed, for example, Moustafa [3], Krishnamoorthy and Ushakumari [4], Ushakumari and Krishnamoorthy [5], Li et al [6], Tang and Zhang [7], Zhang and Wu [8], Jain and Gupta [9], Kang and Kim [10]. They investigated such a redundant system with different assumptions.…”

Section: Introductionmentioning

confidence: 99%

Transient Analysis of ak-out-of-n:GSystem withN-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency

Tang

2015

Discrete Dynamics in Nature and Society

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This paper analyzes ak-out-of-n:Grepairable system withN-policy, repairmen’s multiple synchronous vacations, and redundant dependency. When there is no failed component in the system, the repairmen leave for a vacation, the duration of which follows a phase type distribution. Upon returning from vacation, they should take another vacation if there are less thanNfailed components waiting in the system. This pattern continues until at leastNfailed components are waiting. Moreover, the redundant dependency which is a special kind of failure dependency is taken into account in the multicomponent system. Under such assumptions, the availability, the rate of occurrence of failures, and the reliability of the system are derived in transient regime by applying the quasi-birth-and-death process. Furthermore, the Runge-Kutta method is carried out to numerically discuss the time-dependent behavior of the system reliability measures. Finally, a special case of the system is presented to show the validity of our model.

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“…A significant body of research has accumulated in the reliability study of load-sharing systems. Amari et al (2008) and Jain and Gupta (2012) presented a remarkable review on the research.…”

Section: Introductionmentioning

confidence: 99%

Reliability Evaluation of a Load-sharing Parallel System with Failure Dependence

Wang

Zhang

Chen³

et al. 2014

Communications in Statistics - Simulation and Computation

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In a parallel structure load-sharing system, the failure rate of the operating components will usually increase, due to the additional loading induced by the other components' failure. Hence failure dependency exists among components. To quantify the failure dependency, a dependence function is introduced. Under the assumptions that the repair time distributions of components are arbitrary and life times are exponential distributions whose failure rates vary with the number of operating components, a new load-sharing parallel system with failure dependency is proposed. To model the stochastic behavior of the system, the Semi-Markov process induced by it is given. The Semi-Markov kernel associated with the process is also presented. The availability and the time to the first system failure are obtained by employing Markov renewal theory. A numerical example is presented to illustrate the results obtained in the paper. The impact of the failure dependence on the system is also considered.

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Load sharing M-out of-N: G system with non-identical components subject to common cause failure

Cited by 28 publications

References 18 publications

Maintenance analysis of a two-component load-sharing system

Maintenance analysis of a two-component load-sharing system

Transient Analysis of ak-out-of-n:GSystem withN-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency

Reliability Evaluation of a Load-sharing Parallel System with Failure Dependence

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