On ordered system signature and its dynamic version for coherent systems with applications

On ordered system signature and its dynamic version for coherent systems with applications
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DOI:
10.1017/jpr.2022.110
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发表时间:
2023-02
影响因子:
1
通讯作者:
He Yi;N. Balakrishnan;Xiang Li
He Yi;N. Balakrishnan;Xiang Li
中科院分区:
数学4区
文献类型:
--
作者:
He Yi;N. Balakrishnan;Xiang Li

文献摘要

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Abstract 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.