Excess lifetime extropy for a mixed system at the system level

Mohamed Kayid; Mashael A. Alshehri; Mohamed Kayid; Mashael A. Alshehri

doi:10.3934/math.2023824

AIMS Mathematics

2023, Volume 8, Issue 7: 16137-16150. doi: 10.3934/math.2023824

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Research article

Excess lifetime extropy for a mixed system at the system level

Mohamed Kayid ^{1
,
,},
Mashael A. Alshehri ²

1.
Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
2.
Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 1362, Saudi Arabia

Received: 11 February 2023 Revised: 07 April 2023 Accepted: 17 April 2023 Published: 05 May 2023
MSC : 94A15, 62B10, 60E15

We consider a mixed system with $ n $ components, where at time $ t, $ all system components are functioning. We then use the system signature to evaluate the extropy of the excess lifetime of the mixed system, which is a useful criterion for predicting the lifetime of the system. We give several results including expressions, bounds, and order conditions for the above measure. Finally, based on the relative extropy, we establish a criterion for selecting a preferred system that is closely related to the parallel system.
- coherent system,
- residual extropy entropy,
- Shannon entropy,
- system signature
Citation: Mohamed Kayid, Mashael A. Alshehri. Excess lifetime extropy for a mixed system at the system level[J]. AIMS Mathematics, 2023, 8(7): 16137-16150. doi: 10.3934/math.2023824

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Abstract

We consider a mixed system with $ n $ components, where at time $ t, $ all system components are functioning. We then use the system signature to evaluate the extropy of the excess lifetime of the mixed system, which is a useful criterion for predicting the lifetime of the system. We give several results including expressions, bounds, and order conditions for the above measure. Finally, based on the relative extropy, we establish a criterion for selecting a preferred system that is closely related to the parallel system.

References

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