An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy

Reihaneh, Mohammad; Ardakan, Mostafa Abouei; Eskandarpour, Majid

doi:10.1016/j.ejor.2021.06.033

Cited by 19 publications

(5 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, to intactly review the reliability improvement effect of the mixed redundancy strategy, Sadeghi and Roghanian [21] have exploited the optimal solutions obtained by a general algebraic modeling system (GAMS) for the same RAP. Some studies, such as [22][23][24][25][26][27], have extended RAP to allow for subsystems composed of heterogeneous components. In refs.…”

Section: Introductionmentioning

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

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

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

View full text Add to dashboard Cite

show abstract

“…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%

“…The type of the components in the subsystems can be characterized from different viewpoints. For instance, allocation of either identical [1,[3][4][5][6][7]12,[18][19][20]35,36,40,45,46,53,54] or non-identical components to each subsystem might be allowed [8][9][10][11][13][14][15][16][17]21,22,25,27,28,33,37,41,44,48,49,62]. Moreover, the components characteristics, including their cost, weight and performance function, might be deterministic or uncertain functions [66].…”

Section: Introductionmentioning

confidence: 99%

Redundancy Allocation of Components with Time-Dependent Failure Rates

Zio

Gholinezhad

2023

Mathematics

View full text Add to dashboard Cite

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.

show abstract

“…Further, Juybari et al 41 studied the mixed redundancy strategy with non-repairable components in a bi-objective RAP. Moreover, Reihaneh et al 42 formulated the mixed redundancy strategy with heterogeneous components employing a branch-and-price algorithm, which leads to fast and exact system reliability calculation. Also, the mixed strategy is investigated with degrading cold-standby and non-repairable components by Golmohammadi and Ardakan, 43 where the effects of different inspection and maintenance policies on system cost, reliability, and structure are explored.…”

Section: Introductionmentioning

confidence: 99%

“…studied the mixed redundancy strategy with non‐repairable components in a bi‐objective RAP. Moreover, Reihaneh et al 42 . formulated the mixed redundancy strategy with heterogeneous components employing a branch‐and‐price algorithm, which leads to fast and exact system reliability calculation.…”

Section: Introductionmentioning

confidence: 99%

A Markovian analytical approach to a repairable system under the mixed redundancy strategy with a repairman

Juybari

Hamadani

Liu

2022

Quality & Reliability Eng

View full text Add to dashboard Cite

The mixed redundancy strategy is one of the most powerful techniques for improving system performance. This novel strategy has, however, been mostly studied in non-repairable redundant systems, while the present study aims to study, for the first time, its application to a repairable system with a repairman in availability and maintainability perspectives. In this system, a repairman is responsible for providing the repair services. The intended system simultaneously benefits from the repairman's vacation concept following different policies, namely: vacation interruption and multiple vacations. Moreover, the system consists of two types of repairs, specifically: regular and working vacation repair. Also, successive vacation times are governed by the Markovian arrival process. Accordingly, the system is analyzed by modeling a vector-valued Markov process and several performance measures are derived in both transient and stationary regimes following the matrix-analytic procedure. Finally, the performance of the proposed approach is verified using numerical examples that involve a system with three repairable non-identical components under the mixed strategy as well as a micro-grid system with three parallel subsystems as a real-life case study.

show abstract

An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy

Cited by 19 publications

References 29 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 Markovian analytical approach to a repairable system under the mixed redundancy strategy with a repairman

Contact Info

Product

Resources

About