Allocation strategies of standby redundancies in series/parallel system |
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| Authors: | Jianbin Chen Yiying Zhang Shan Zhou |
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| Institution: | 1. LPMC and Institute of Statistics, Nankai University, Tianjin, China;2. Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong;3. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China |
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| 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. |
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| Keywords: | Hazard rate order Parallel system series system Standby redundancies Usual stochastic order |
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