Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure

Azizi, Soheil; Mohammadi, Milad

doi:10.1007/s12597-023-00635-2

Cited by 4 publications

(3 citation statements)

References 84 publications

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“…First, a structured CTMC model for a mixed redundant system with heterogeneous components needs to be developed, and component sequencing is also considered in the model [23,32,33]. Second, an optimization problem considering the system lifetime would be proposed, such as the expected lifetime, percentile lifetime, and expected residual lifetime [38][39][40]. Third, for a K-mixed redundancy, a generalized form of mixed redundancy, it would be interesting to research a system lifetime model considering a PHD as the TTF distribution of components.…”

Section: Conclusion and Future Studymentioning

confidence: 99%

Lifetime Distribution for a Mixed Redundant System with Imperfect Switch and Components Having Phase–Type Time-to-Failure Distribution

Baek,

Kim

2024

Mathematics

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Recently, a mixed redundancy was introduced among the redundant design strategies to achieve a more reliable system within the equivalent resources. This study deals with a lifetime distribution for a mixed redundant system with an imperfect fault detector/switch. The lifetime distribution model was formulated using a structured continuous Markov chain (CTMC) and considers the time-to-failure (TTF) distribution of a component as a phase-type distribution (PHD). The model’s versatility and practicality are enhanced because the PHD can represent diverse degradation patterns of the components exposed to varied operating environments. The model provides accurate reliability for a mixed redundant system by advancing the approximate reliability function suggested in previous studies. Furthermore, the model would be useful in system design and management because it provides information such as the nth moment of the system’s lifetime distribution. In numerical experiments on some examples, the mixed redundancy was confirmed to devise a more reliable system than the existing active and standby redundancies, and the improvement effect increased as the number of redundant components decreased. The optimal structure for maximizing the expected lifetime of the system changes depends on the reliability of the components and fault detector/switch.

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Section: Conclusion and Future Studymentioning

confidence: 99%

Lifetime Distribution for a Mixed Redundant System with Imperfect Switch and Components Having Phase–Type Time-to-Failure Distribution

Baek,

Kim

2024

Mathematics

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“…Following Coit [35], some researchers have turned to consider the redundancy strategy for each subsystem, either active or standby, as a decision variable that can be optimally determined by an optimization model [36][37][38][39][40][41][42][43]. The mixed redundancy strategy has also been considered as an alternative for the subsystems [44][45][46][47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

“…For example, RAPs may be considered with a single objective function, e.g., aiming to maximizing system reliability [1,[3][4][5][6][7][8][9][10][11]27,28,30,31,[35][36][37][39][40][41]44,[46][47][48][53][54][55], minimizing total system cost [12][13][14][15] or maximizing/minimizing other parameters [16,29]. Alternatively, RAPs may consider multi-objective functions [18][19][20][21][22][23][24][25]32,34,38,42,45,50,[56][57][58]…”

Section: Introductionmentioning

confidence: 99%

Redundancy Allocation of Components with Time-Dependent Failure Rates

Zio

Gholinezhad

2023

Mathematics

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The Redundancy Allocation Problem (RAP) is well-known in the field of reliability optimization. In this paper, RAP is investigated assuming that the distribution of the time to failure of the components has the form of an Erlang distribution with a time-dependent rate parameter and considering that the choice of redundancy for each subsystem can be none, active, standby or mixed. A genetic algorithm is used to solve the problem of optimal allocation. To analyze the effect of the time dependence, some numerical examples are worked out. Then, a case study of RAP from the literature is analyzed. The obtained results show that time dependence of the failure time distribution parameters can lead to significant differences in the optimal redundancy allocation.

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A novel evolutionary solution approach for many-objective reliability-redundancy allocation problem based on objective prioritization and constraint optimization

Nath,

Muhuri

2024

Reliability Engineering & System Safety

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Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure

Cited by 4 publications

References 84 publications

Lifetime Distribution for a Mixed Redundant System with Imperfect Switch and Components Having Phase–Type Time-to-Failure Distribution

Lifetime Distribution for a Mixed Redundant System with Imperfect Switch and Components Having Phase–Type Time-to-Failure Distribution

Redundancy Allocation of Components with Time-Dependent Failure Rates

A novel evolutionary solution approach for many-objective reliability-redundancy allocation problem based on objective prioritization and constraint optimization

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