RESEARCH PAPER
The Additive Reliability Model of Cyber Physical Systems Based on Local Polynomial Regression with Masked Failure Data
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1
School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
2
School of Mathematics and Statistics, Nanning Normal University, Nanning 530001, China
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Center for Applied Mathematics of Guangxi, Nanning Normal University, Nanning, 530001, China
Submission date: 2025-03-28
Final revision date: 2025-06-03
Acceptance date: 2025-07-01
Online publication date: 2025-07-17
Publication date: 2025-07-17
HIGHLIGHTS
- Modeling the reliability of Cyber Physical System using local polynomial regression.
- Discussed the reliability research of Cyber Physical System under fully masked data.
- The masked data is allocated using multinomial distribution.
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ABSTRACT
In this paper, the cyber physical system is divided into a software system and a hardware system, and both the software system and the hardware system each contain several subsystems. To solve the difficult problem of parameter estimation in parametric reliability models such as the non-homogeneous Poisson process under masked data, this paper proposed an additive reliability model of cyber physical systems based on local polynomial regression under masked data. This model uses the multinomial distribution to allocate the masked data and employs the local weighted least squares method to solve the reliability model. Finally, by using a set of open-source software failure data and a set of simulation data in the cyber physical system, this paper conducts a performance comparison and analysis between the proposed non-parametric reliability model and traditional reliability models. The empirical results show that the proposed reliability model performs better in terms of the fitting effect and demonstrates stronger applicability and superiority.
ACKNOWLEDGEMENTS
This work was supported by Guangxi Natural Science Foundation (No. 2025GXNSFAA069686), Guangxi Science and Technology Base and Special Talents (No. Guike AD23023003), National Natural Science Foundation of China (No. 72361008), Science and Technology Plan Project of Guizhou Province (No.QianKeHeZhiCheng[2023]-General 268).