Int J Performability Eng ›› 2019, Vol. 15 ›› Issue (5): 1427-1435.doi: 10.23940/ijpe.19.05.p19.14271435

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Redundancy Optimization for Series and Parallel Systems Exposed to Random Shocks

Xiaoliang Linga,*, Yazhou Zhanga, and Ping Lib   

  1. a College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China
    b School of Business, Hebei Normal University, Shijiazhuang, 050024, China
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    This work was supported by the Young Talent Support Plan of Hebei Province, the Foundation of Hebei Education Department (BJ2016021, QN2018129), the National Natural Science Foundation of China (11501162), and the Science Foundation of Hebei Normal University (L2017B24).

Abstract: This paper is devoted to redundancy allocation in series (parallel) systems subject to random shocks. The non-homogeneous Poisson process is used to describe the shock process, and redundant series (parallel) system reliability is given. The majorization order allows for stochastic comparison between random lifetimes of systems under two redundancy allocation policies. Then, the redundancy allocation policy for maximizing (minimizing) the series (parallel) system reliability is presented. Finally, the effect of the number of subsystems on system reliability is analyzed.

Key words: reliability, majorization order, shock model, parallel (series) redundancy