A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is...A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.展开更多
The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component a...The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component assignments change the system reliability.The optimization of Lin/Con/k/n:F(G)system is to find an optimal component assignment to maximize the system reliability.As the number of components increases,the computation time for this problem increases considerably.In this paper,we propose a Birnbaum importance-based ant colony optimization(BIACO)algorithm to obtain quasi optimal assignments for such problems.We compare its performance using the Birnbaum importance based two-stage approach(BITA)and Birnbaum importancebased genetic local search(BIGLS)algorithm from previous researches.The experimental results show that the BIACO algorithm has a good performance in the optimization of Lin/Con/k/n:F(G)system.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
文摘A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.
基金the National Natural Science Foundation of China(Nos.71871181 and 71471147)the Overseas Expertise Introduction Project for Discipline Innovation(No.B13044)the Top International University Visiting Program for Outstanding Young Scholars of Northwestern Polytechnical University(No.201806295008)。
文摘The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component assignments change the system reliability.The optimization of Lin/Con/k/n:F(G)system is to find an optimal component assignment to maximize the system reliability.As the number of components increases,the computation time for this problem increases considerably.In this paper,we propose a Birnbaum importance-based ant colony optimization(BIACO)algorithm to obtain quasi optimal assignments for such problems.We compare its performance using the Birnbaum importance based two-stage approach(BITA)and Birnbaum importancebased genetic local search(BIGLS)algorithm from previous researches.The experimental results show that the BIACO algorithm has a good performance in the optimization of Lin/Con/k/n:F(G)system.
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.
