Allocation strategies of standby redundancies in series/parallel system

Jianbin Chen, Yiying Zhang, Peng Zhao and Shan Zhou

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 3, 708-724

Abstract: This article deals with the topic of optimal allocation of two standby redundancies in a two-component series/parallel system. There are two original components C1 and C2 which can be used to construct a series/parallel system, and two spares R1 (same as C1) and R2 (different from both C1 and C2) at hand with them being standby redundancies so as to enhance the reliability level of the system. The goal for an engineer is to seek after the optimal allocation policy in this framework. It is shown that, for the series structure, the engineer should allocate R2 to C1 and R1 to C2 provided that C1 (or R1) performs either the best or worst among all the units; otherwise, the allocation policy should be reversed. For the parallel structure, the optimal allocation strategy is just opposed to that of series case. We also provide some numerical examples for illustrating the theoretical results.

Date: 2018
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DOI: 10.1080/03610926.2017.1313984

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