TY - JOUR
T1 - Ordered multi-state system signature and its dynamic version in evaluating used multi-state systems
AU - Yi, He
AU - Balakrishnan, Narayanaswamy
AU - Li, Xiang
N1 - Publisher Copyright:
© The Author(s), 2022.
PY - 2023/10/1
Y1 - 2023/10/1
N2 - Signature theory plays an important part in the field of reliability. In this paper, the ordered multi-state system signature and its related properties are discussed based on a life-test of independent and non-identical coherent or mixed systems with independent and identical binary-state components. Dynamic properties of these systems are considered through a new notion called dynamic multi-state system signature, and then related comparisons are made based on system lifetimes and costs. Finally, the theoretical results established are illustrated with some specific examples to demonstrate the use of dynamic ordered multi-state system signature in evaluating used multi-state coherent or mixed systems.
AB - Signature theory plays an important part in the field of reliability. In this paper, the ordered multi-state system signature and its related properties are discussed based on a life-test of independent and non-identical coherent or mixed systems with independent and identical binary-state components. Dynamic properties of these systems are considered through a new notion called dynamic multi-state system signature, and then related comparisons are made based on system lifetimes and costs. Finally, the theoretical results established are illustrated with some specific examples to demonstrate the use of dynamic ordered multi-state system signature in evaluating used multi-state coherent or mixed systems.
KW - Coherent or mixed system
KW - Dynamic multi-state system signature
KW - Dynamic ordered multi-state system signature
KW - Ordered multi-state system signature
KW - Reliability
UR - https://www.scopus.com/pages/publications/85162067792
U2 - 10.1017/S0269964822000237
DO - 10.1017/S0269964822000237
M3 - Article
AN - SCOPUS:85162067792
SN - 0269-9648
VL - 37
SP - 873
EP - 887
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 4
ER -