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Renewal and Renewal-Intensity Functions with Minimal Repair

机译:具有最少维修的更新和更新强度功能

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The renewal and renewal-intensity functions with minimal repair are explored for the Normal, Gamma, Uniform, and Weibull underlying lifetime distributions. The Normal, Gamma, and Uniform renewal, and renewal-intensity functions are derived by the convolution method. Unlike these last three failure distributions, the Weibull except at shape β = 1 does not have a closed-form function for the n-fold convolution. Since the Weibull is the most important failure distribution in reliability analyses, the approximate renewal and renewal-intensity functions of Weibull were obtained by the time-discretizing method using the Mean-Value Theorem for Integrals. A Matlab program outputs all reliability and renewal measures.
机译:探索了具有最小修复的更新和更新强度函数,用于正态,伽玛,均匀和威布尔基本寿命分布。通过卷积方法可以得出法线,伽玛和均匀更新,以及更新强度函数。与这最后三个破坏分布不同,除了形状为β= 1的Weibull,对于n折卷积没有闭合形式的函数。由于Weibull是可靠性分析中最重要的失效分布,因此使用时间均值方法使用积分中值定理,通过时间离散方法获得Weibull的近似更新和更新强度函数。 Matlab程序输出所有可靠性和更新措施。

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