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Redundancy Optimization for Series and Parallel Systems Exposed to Random Shocks

Volume 15, Number 5, May 2019, pp. 1427-1435
DOI: 10.23940/ijpe.19.05.p19.14271435

Xiaoliang Linga, Yazhou Zhanga, and Ping Lib

aCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China
bSchool of Business, Hebei Normal University, Shijiazhuang, 050024, China

 

(Submitted on March 10, 2019; Revised on April 16, 2019; Accepted on May 22, 2019)

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.

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