线性二维连续k型系统的可靠性分析

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2023-08-14 DOI:10.1017/jpr.2023.51

He Yi, N. Balakrishnan, Xiang Li

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引用次数: 1

摘要

本文研究了几个线性二维连续k型系统，其中包括线性连通的-（k，r）-out-$（m，n）\colon\！F$系统和线性l连通-（k，r）-out-of-$（m，n）\冒号\！F$系统无重叠。利用有限马尔可夫链嵌入方法对这些系统的可靠性进行了新的研究。提供了一些数值例子来说明本文建立的理论结果，并证明了所开发方法的有效性。最后，指出了一些可能的应用和推广发展的结果。

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Reliability analyses of linear two-dimensional consecutive k-type systems

In this paper, several linear two-dimensional consecutive k-type systems are studied, which include the linear connected-(k, r)-out-of- $(m,n)\colon\! F$ system and the linear l-connected-(k, r)-out-of- $(m,n)\colon\! F$ system without/with overlapping. Reliabilities of these systems are studied via the finite Markov chain imbedding approach (FMCIA) in a novel way. Some numerical examples are provided to illustrate the theoretical results established here and also to demonstrate the efficiency of the developed method. Finally, some possible applications and generalizations of the developed results are pointed out.

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来源期刊

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.