TY - JOUR
T1 - On ordered system signature and its dynamic version for coherent systems with applications
AU - Yi, He
AU - Balakrishnan, Narayanaswamy
AU - Li, Xiang
N1 - Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press on behalf of Applied Probability Trust.
PY - 2023/9/28
Y1 - 2023/9/28
N2 - The notion of ordered system signature, originally defined for independent and identical coherent systems, is first extended to the case of independent and non-identical coherent systems, and then some key properties that help simplify its computation are established. Through its use, a dynamic ordered system signature is defined next, which facilitates a systematic study of dynamic properties of several coherent systems under a life test. The theoretical results established here are then illustrated through some specific examples. Finally, the usefulness in the evaluation of aging used systems of the concepts introduced is demonstrated.
AB - The notion of ordered system signature, originally defined for independent and identical coherent systems, is first extended to the case of independent and non-identical coherent systems, and then some key properties that help simplify its computation are established. Through its use, a dynamic ordered system signature is defined next, which facilitates a systematic study of dynamic properties of several coherent systems under a life test. The theoretical results established here are then illustrated through some specific examples. Finally, the usefulness in the evaluation of aging used systems of the concepts introduced is demonstrated.
KW - aging
KW - coherent system
KW - dynamic ordered system signature
KW - Ordered system signature
KW - stochastic ordering
KW - used system
UR - https://www.scopus.com/pages/publications/85162032126
U2 - 10.1017/jpr.2022.110
DO - 10.1017/jpr.2022.110
M3 - Article
AN - SCOPUS:85162032126
SN - 0021-9002
VL - 60
SP - 982
EP - 1002
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 3
ER -