TY - JOUR
T1 - Circular One/Two/Three-dimensional Consecutive k-Type Systems
AU - Yi, He
AU - Balakrishnan, Narayanaswamy
AU - Li, Xiang
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.
PY - 2026/3
Y1 - 2026/3
N2 - In this paper, several circular one/two/three-dimensional consecutive k-type systems are studied, including circular consecutive-k-out-of-n: F systems, circular l-consecutive-k-out-of-n: F systems without/with overlapping, circular connected--out-of-: F systems, circular l-connected--out-of-: F systems without/with overlapping, circular connected--out-of-: F systems, and circular l-connected--out-of-: F systems without/with overlapping. Reliability functions of these systems are studied using finite Markov chain imbedding approach (FMCIA). Some illustrative examples are provided, and possible applications and generalizations of the established results are also mentioned.
AB - In this paper, several circular one/two/three-dimensional consecutive k-type systems are studied, including circular consecutive-k-out-of-n: F systems, circular l-consecutive-k-out-of-n: F systems without/with overlapping, circular connected--out-of-: F systems, circular l-connected--out-of-: F systems without/with overlapping, circular connected--out-of-: F systems, and circular l-connected--out-of-: F systems without/with overlapping. Reliability functions of these systems are studied using finite Markov chain imbedding approach (FMCIA). Some illustrative examples are provided, and possible applications and generalizations of the established results are also mentioned.
KW - One/Two/Three-dimensional
KW - consecutive k-type system
KW - finite Markov chain imbedding approach (FMCIA)
KW - reliability
KW - without/with overlapping
UR - https://www.scopus.com/pages/publications/105033500963
U2 - 10.1007/s11009-026-10250-5
DO - 10.1007/s11009-026-10250-5
M3 - Article
AN - SCOPUS:105033500963
SN - 1387-5841
VL - 28
JO - Methodology and Computing in Applied Probability
JF - Methodology and Computing in Applied Probability
IS - 1
M1 - 23
ER -