A multi-objective reliability-redundancy allocation problem with active redundancy and interval type-2 fuzzy parameters

Kundu, Pradip

doi:10.1007/s12351-019-00531-y

Cited by 7 publications

(5 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Guilani et al [17] introduced a mathematical model for the RRAPs. By maintaining the limits on weight Kundu [18] simultaneously optimized system reliability with system cost of a MORRAP for a series-parallel system.…”

Section: Related Workmentioning

confidence: 99%

Optimization of time-dependent fuzzy multi-objective reliability redundancy allocation problem for n-stage series–parallel system

De,

Roy,

Roy

et al. 2023

Innovations Syst Softw Eng

View full text Add to dashboard Cite

This study introduces a time dependent fuzzy multi-objective reliability redundancy allocation problem (TF-MORRAP) for the n-stage (level) series parallel system. System reliability maximization and system cost minimization according to time by optimizing the redundant components counting at every stage of the system is the main objective of this study. This optimization is done by satisfying the entropy constraints with limited redundant components at every stage and in the whole system. The reliability and cost of every component are represented as triangular fuzzy numbers (TFN) to handle the uncertainty of input information of the system. According to time the component reliability and cost decrease by some factor of their previous existing value. This factor follows the change in the length of radius of the inverse logarithmic spiral with respect to angle which is regarded as time here. The proposed problem is analysed by using an over-speed protection system of a gas turbine. We compare the membership values of optimal solutions obtained by using two well-known techniques namely Non-dominated sorting genetic algorithm-II (NSGA-II) and a multi-objective particle swarm optimization algorithm called NF-MOPSO. Various performances of the algorithms are compared to solve the aforementioned problem by using some performance metrics. NF-MOPSO shows the high satisfaction level of objective functions and better performance than NSGA-II.

show abstract

Section: Related Workmentioning

confidence: 99%

Optimization of time-dependent fuzzy multi-objective reliability redundancy allocation problem for n-stage series–parallel system

De,

Roy,

Roy

et al. 2023

Innovations Syst Softw Eng

View full text Add to dashboard Cite

show abstract

“…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%

“…Regarding the components, they might be represented as binary or multi-state. In the binary state representation, the components can only be totally healthy or completely failed [1,[3][4][5][6][7][8][9][10][11][12][13][17][18][19][20][21][22][23][25][26][27][28][29][30][31][32][33][34][35]40,41,[43][44][45][46][47][48]53,55]; in the multi-state, the components might have other states, intermediate between these two [14][15][16]24,[60][61][62][63][64][65]. The type of the components ...…”

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

“…A fuzzy multiobjective reliability‐redundancy allocation problem of a series‐parallel system is proposed by Kundu 9 using interval type‐2 fuzzy numbers to model reliabilities. The goal was to optimize system reliability and cost at the same time, having the constraints on volume, weight, and redundancy level.…”

Section: Introductionmentioning

confidence: 99%

“…The goal was to optimize system reliability and cost at the same time, having the constraints on volume, weight, and redundancy level. Using interval type‐2 fuzzy numbers, Muhuri and Ashraf (2018) 10 also worked on fuzzy multiobjective reliability‐redundancy allocation problem with the same objective functions as Kundu, 9 in which system reliability and cost were optimized simultaneously. In an extension to their previous work, Ashraf et al 11 proposed a variant of particle swarm optimization to solve fuzzy multiobjective reliability‐redundancy allocation problem, while giving users the ability to set the importance weights for each objective.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy reliability‐redundancy allocation problem of the overspeed protection system

Taghiyeh

Mahmoudi

Fadaie

et al. 2020

Engineering Reports

View full text Add to dashboard Cite

System reliability is defined as the probability of satisfactory performance of a system under stated conditions for a specified period of time. According to this definition, four parameters, including probability, satisfactory performance, specific conditions, and time should be exactly characterized to evaluate the system reliability accurately. However, due to the uncertainty involved in real situations, it is hardly possible to assess the aforementioned parameters precisely. In this article, two general and distinct approaches, including Zadeh's extension principle and modification of fuzzy parametric programming (FPP), are proposed to take into account such uncertainty in a famous reliability problem called the overspeed protection system. According to Zadeh's extension principle, a pair of nonlinear programming problems is formulated to compute α‐level cuts of fuzzy system reliability. The membership function of fuzzy system reliability can then be constructed analytically by numerating different values of α. This fuzzy system reliability presents flexibility for further system analysis. In the second approach, from a different point of view, a variant of FPP is improved that provides a crisp value as a system reliability measure. The rewarding point of the latter procedure is to handle the problem in a computationally easier way.

show abstract

A multi-objective reliability-redundancy allocation problem with active redundancy and interval type-2 fuzzy parameters

Cited by 7 publications

References 44 publications

Optimization of time-dependent fuzzy multi-objective reliability redundancy allocation problem for n-stage series–parallel system

Optimization of time-dependent fuzzy multi-objective reliability redundancy allocation problem for n-stage series–parallel system

Redundancy Allocation of Components with Time-Dependent Failure Rates

Fuzzy reliability‐redundancy allocation problem of the overspeed protection system

Contact Info

Product

Resources

About