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

被引：1

作者：

Yi, He ^{[1
]}

Balakrishnan, Narayanaswamy ^{[1
]}

Li, Xiang ^{[2
]}

机构：

[1] Beijing Univ Chem Technol, Sch Econ & Management, Beijing 100029, Peoples R China

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

JOURNAL OF APPLIED PROBABILITY | 2024年 / 61卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Reliability; linear two-dimensional consecutive k-type system; overlapping; non-overlapping; finite Markov chain imbedding approach (FMCIA); OUT-OF-N; LATTICE SYSTEM; S)-OUT-OF-(M; BOUNDS;

D O I：

10.1017/jpr.2023.51

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：439 / 464

页数：26

共 37 条

[1] Reliability of a 2-dimensional k-within-consecutive-r x s-out-of-m x n:F system [J].

Akiba, T ;

Yamamoto, H .

NAVAL RESEARCH LOGISTICS, 2001, 48 (07) :625-637

[2] STOCHASTIC PROPERTIES OF GENERALIZED FINITE MIXTURE MODELS WITH DEPENDENT COMPONENTS [J].

Amini-Seresht, Ebrahim ;

Balakrishnan, Narayanaswamy .

JOURNAL OF APPLIED PROBABILITY, 2021, 58 (03) :794-804

[3]

Balakrishnan N, 2021, RELIABILITY ANAL PLA

[4]

Balakrishnan N, 2002, RUNS SCANS APPL

[5] ON STOCHASTIC COMPARISONS OF k-OUT-OF-n SYSTEMS WITH WEIBULL COMPONENTS [J].

Balakrishnan, Narayanaswamy ;

Barmalzan, Ghobad ;

Haidari, Abedin .

JOURNAL OF APPLIED PROBABILITY, 2018, 55 (01) :216-232

[6] A GENERALIZATION OF CONSECUTIVE-K-OUT-OF-N-F SYSTEMS [J].

BOEHME, TK ;

KOSSOW, A ;

PREUSS, W .

IEEE TRANSACTIONS ON RELIABILITY, 1992, 41 (03) :451-457

[7]

Chang G.J., 2000, RELIABILITIES CONSEC

[8] Reliability of a 2-Dimensional k-Within-Consecutive-r x s-out-of-m x n:F System Using Finite Markov Chains [J].

Chang, Yung-Ming ;

Huang, Tzu-Hui .

IEEE TRANSACTIONS ON RELIABILITY, 2010, 59 (04) :725-733

[9] Two-dimensional discrete scan statistics [J].

Chen, J ;

Glaz, J .

STATISTICS & PROBABILITY LETTERS, 1996, 31 (01) :59-68

[10] Developments and Applications of the Finite Markov Chain Imbedding Approach in Reliability [J].

Cui, Lirong ;

Xu, Yu ;

Zhao, Xian .

IEEE TRANSACTIONS ON RELIABILITY, 2010, 59 (04) :685-690

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