TY - JOUR
T1 - SIGNATURES of MULTI-STATE SYSTEMS BASED on A SERIES/PARALLEL/RECURRENT STRUCTURE of MODULES
AU - Yi, He
AU - Balakrishnan, Narayanaswamy
AU - Li, Xiang
N1 - Publisher Copyright:
Copyright © The Author(s), 2021. Published by Cambridge University Press.
PY - 2022/7/1
Y1 - 2022/7/1
N2 - In this paper, we consider multi-state coherent systems that can be regarded as a series/parallel/recurrent connection of multi-state modules with binary/multi-state components. The multi-state (survival) signatures of such systems are presented in terms of multi-state (survival) signatures of related modules based on the structures. For a recurrent structure, the multi-state survival signature of the structure is also needed. The results established here are finally illustrated with a number of examples.
AB - In this paper, we consider multi-state coherent systems that can be regarded as a series/parallel/recurrent connection of multi-state modules with binary/multi-state components. The multi-state (survival) signatures of such systems are presented in terms of multi-state (survival) signatures of related modules based on the structures. For a recurrent structure, the multi-state survival signature of the structure is also needed. The results established here are finally illustrated with a number of examples.
KW - multi-state (survival) signature
KW - multi-state coherent system
KW - multi-state module
KW - series/parallel/recurrent connection
UR - https://www.scopus.com/pages/publications/85105551202
U2 - 10.1017/S0269964821000103
DO - 10.1017/S0269964821000103
M3 - Article
AN - SCOPUS:85105551202
SN - 0269-9648
VL - 36
SP - 824
EP - 850
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 3
ER -