In a repairable consecutive C(k,n:F)system,after the system operates for a certain time,some components may fail,some failed components may be repaired and the state of the system may change.The models developed in th...In a repairable consecutive C(k,n:F)system,after the system operates for a certain time,some components may fail,some failed components may be repaired and the state of the system may change.The models developed in the existing literature usually assume that the state of the sys-tem varies over time depending on the values of n and k and the state of the system is known.Since the system reliability will vary over time,it is of great interest to analyse the time-dependent system reliability.In this paper,we develop a novel and simple method that utilizes the eigen-values of the transition rate matrix of the system for the computation of time-dependent system reliability when the system state is known.In addition,the transition performance probabilities of the system from a known state to the possible states are also analysed.Computational results are presented to illustrate the applicability and accuracy of the proposed method.展开更多
In 1985, Bollinger firstly introduced a repairable system model——a strict consecutive-k-out-of-n: F systems(abbreviated to Bollinger model) in terms ofa nonrepairable system 'consecutive-k-out-of-n: F systems...In 1985, Bollinger firstly introduced a repairable system model——a strict consecutive-k-out-of-n: F systems(abbreviated to Bollinger model) in terms ofa nonrepairable system 'consecutive-k-out-of-n: F systems'. However, some conditions in Bollinger modal were assumed too ideally to be used in engineering. For instance, some states (e.g. FGFFFFFFF, n=9, k=2) have already made the system dislocated, but by the assumptions in展开更多
The （n,f, k）： F（G） system consists ofn components and the system fails （works） if and only if there are at least flailed （working） components or at least k consecutive failed （working） components. These sys...The （n,f, k）： F（G） system consists ofn components and the system fails （works） if and only if there are at least flailed （working） components or at least k consecutive failed （working） components. These system models can be used in electronic equipment, automatic payment systems in banks, and furnace systems. In this paper we introduce and study the （n, f, k）：F and （n, f, k）： G systems consisting of weighted components. Recursive equations are presented for reliability evaluation of these new models. We also provide some conditions on the weights to represent weighted-（n,f, k） systems as usual （n,f, k） systems.展开更多
基金H.K.T.Ng’s work was also supported by a grant from the Simons Foundation[Grant Number 709773]。
文摘In a repairable consecutive C(k,n:F)system,after the system operates for a certain time,some components may fail,some failed components may be repaired and the state of the system may change.The models developed in the existing literature usually assume that the state of the sys-tem varies over time depending on the values of n and k and the state of the system is known.Since the system reliability will vary over time,it is of great interest to analyse the time-dependent system reliability.In this paper,we develop a novel and simple method that utilizes the eigen-values of the transition rate matrix of the system for the computation of time-dependent system reliability when the system state is known.In addition,the transition performance probabilities of the system from a known state to the possible states are also analysed.Computational results are presented to illustrate the applicability and accuracy of the proposed method.
文摘In 1985, Bollinger firstly introduced a repairable system model——a strict consecutive-k-out-of-n: F systems(abbreviated to Bollinger model) in terms ofa nonrepairable system 'consecutive-k-out-of-n: F systems'. However, some conditions in Bollinger modal were assumed too ideally to be used in engineering. For instance, some states (e.g. FGFFFFFFF, n=9, k=2) have already made the system dislocated, but by the assumptions in
文摘The （n,f, k）： F（G） system consists ofn components and the system fails （works） if and only if there are at least flailed （working） components or at least k consecutive failed （working） components. These system models can be used in electronic equipment, automatic payment systems in banks, and furnace systems. In this paper we introduce and study the （n, f, k）：F and （n, f, k）： G systems consisting of weighted components. Recursive equations are presented for reliability evaluation of these new models. We also provide some conditions on the weights to represent weighted-（n,f, k） systems as usual （n,f, k） systems.
