An exact Markov chain model for reliability–redundancy allocation problem with a choice of redundancy strategy

Reliability–redundancy allocation (RRAP), is one of the most significant problems in system design. In all previous studies of RRAPs, the redundancy strategy is considered as a predetermined input parameter. In dealing with this, most studies considered the active strategy, while the more recent one...

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Bibliographic Details
Published in:Life cycle reliability and safety engineering 2021-12, Vol.10 (4), p.373-385
Main Authors: Guilani, Pardis Pourkarim, Ardakan, Mostafa Abouei, Guilani, Pedram Pourkarim, Lehdarboni, Siamak Askari
Format: Article
Language:English
Subjects:
Civil Engineering
Engineering
Mechanical Engineering
Original Research
Quality Control
Reliability
Safety and Risk
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Summary:Reliability–redundancy allocation (RRAP), is one of the most significant problems in system design. In all previous studies of RRAPs, the redundancy strategy is considered as a predetermined input parameter. In dealing with this, most studies considered the active strategy, while the more recent ones opt for the standby strategy. In this paper a new mathematical model is developed for the RRAPs so that the redundancy strategies are considered as decision variables and the model will find the best strategy for each subsystem and the best structure for the system. Furthermore, a continuous time Markov chain (CTMC) model is used to calculate the exact reliability value for standby subsystems. Results demonstrate that for a wide range of switch reliability values, the proposed approach leads to better structures with higher reliabilities compared to best previous studies on active and standby modes in all benchmarks.
ISSN:2520-1352
2520-1360
DOI:10.1007/s41872-021-00170-3