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arXiv · 2311.07393

Emergent lifetime distribution from complex network systems aging

Yimeng Liu·Shaobo Sui·Dan Lu·Rui Peng·Mingyang Bai·Daqing Li
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Abstract

Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We find three types of system lifetime distributions emerged from competence between system size N and failure coupling strength $\phi$. System lifetime distribution can be describe by modified Weibull model, which degenerates into Gompertz model when N dominates and exponential distribution when $\phi$ dominates. We derive asymptotic lifetime distribution. Specially, we derive a fundamental equation of thermodynamics for failure-coupled systems. Our study will help design highly reliable systems.

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Yimeng Liu, Shaobo Sui, Dan Lu, Rui Peng, Mingyang Bai, Daqing Li. 2023-11-13. Emergent lifetime distribution from complex network systems aging. https://doi.org/10.1016/j.ress.2024.110128

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