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

abstract

• AbstractIn 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.

authors

• Yi, He
• Balakrishnan, Narayanaswamy
• Li, Xiang

status

• published 

publication date

• June 2024

has subject area

• 0102 Applied Mathematics (FoR)
• 0104 Statistics (FoR)
• Statistics & Probability (Science Metrix)

published in

• Journal of Applied Probability  Journal

keywords

• BOUNDS
• LATTICE SYSTEM
• Mathematics
• OUT-OF-N
• Physical Sciences
• Reliability
• S)-OUT-OF-(M
• Science & Technology
• Statistics & Probability
• finite Markov chain imbedding approach (FMCIA)
• linear two-dimensional consecutive k-type system
• non-overlapping
• overlapping

Digital Object Identifier (DOI)

• 10.1017/jpr.2023.51

start page

• 439

end page

• 464

volume

• 61

issue

• 2