Reliability Analysis on the δ-Shock Model of Complex Systems |
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Authors: | Zehui Li Peng Zhao |
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Affiliation: | Sch. of Math. & Stat., Lanzhou Univ.; |
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Abstract: | We investigate the delta-shock model of complex systems consisting of n i.i.d. components. We first obtain a general lifetime distribution for the delta-shock model of a general complex system by reducing the system to a linear combination of parallel systems. We then consider coherent system structures including series, parallel, and k-out-of-n, then derive some useful results including reliability bounds, bounds on the mean lifetime, limiting distributions, and Laplace-Stieltes transforms |
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