采用分段线性函数柔性模型的负载共享系统可靠性分析
Reliability Analysis of Load-sharing Systems using a Flexible Model with Piecewise Linear Functions
AI总结：
本研究提出一种基于分段线性函数的负载共享系统柔性可靠性模型，数据驱动且假设条件少，可精准估计多项可靠性指标，经模拟与实例验证性能良好。
摘要：
为实现负载共享系统系统可靠性的精准估计，本文通过用分段线性函数近似部件寿命的累积风险函数，构建了适用于这类系统的柔性模型。该模型的优势在于其由数据驱动，且无需对底层部件寿命施加过于严苛的假设。凭借其柔性特性，该模型通常能很好地拟合从负载共享系统获取的数据，从而实现对重要可靠性特征量的精准估计。本文在提出的含分段线性函数的模型框架下，推导了负载共享系统的任务时间可靠度估计、分位函数、平均失效时间以及平均剩余寿命。文中详细探讨了该模型的极大似然估计方法与置信区间构建方法。通过详尽的蒙特卡洛模拟研究，验证了所提模型的性能十分理想。本文还以一个双电机负载共享系统的寿命相关负载共享数据分析为例，进行了实例说明。综上，本文全面论述了一种可在极少假设条件下应用于负载共享系统的柔性模型。
英文摘要：
Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The advantages of the resulting model are that it is data-driven and it does not use prohibitive assumptions on the underlying component lifetimes. Due to its flexible nature, the model is capable of providing a good fit to data obtained from load-sharing systems in general, thus resulting in an accurate estimation of important reliability characteristics. Estimates of reliability at a mission time, quantile function, mean time to failure, and mean residual time for load-sharing systems are developed under the proposed model involving piecewise linear functions. Maximum likelihood estimation and construction of confidence intervals for the proposed model are discussed in detail. The performance of the proposed model is observed to be quite satisfactory through a detailed Monte Carlo simulation study. Analysis of a load-sharing data pertaining to the lives of a two-motor load-sharing system is provided as an illustrative example. In summary, this article presents a comprehensive discussion on a flexible model that can be used for load-sharing systems under minimal assumptions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
