Economic design of a load-sharing consecutive<i>k</i>-out-of-<i>n</i>:F system

Yun, Won Young; Kim, Gui Rae; Yamamoto, Hisashi

doi:10.1080/0740817x.2011.590442

Cited by 31 publications

(19 citation statements)

References 9 publications

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“…Yamamoto et al , have performed studies on calculating multistate k ‐out‐of‐ n :F systems. Yun et al , proposed an economic design for consecutive‐ k ‐out‐of‐ n :F systems with load sharing dependency. Moreover, a multistate weighted k ‐out‐of‐ n :F system is defined and evaluated by UGF method in .…”

Section: A Brief Literature Reviewmentioning

confidence: 99%

A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k‐out‐of‐n:F systems

Khorshidi

Gunawan

Ibrahim

2016

Appl Stoch Models Bus & Ind

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In this paper, a dynamic evaluation of the multistate weighted k-out-of-n:F system is presented in an unreliability viewpoint. The expected failure cost of components is used as an unreliability index. Using failure cost provides an opportunity to employ financial concepts in system unreliability estimation. Hence, system unreliability and system cost can be compared easily in order to making decision. The components' probabilities are computed over time to model the dynamic behavior of the system. The whole system has been assessed by recursive algorithm approach. As a result, a bi-objective optimization model can be developed to find optimal decisions on maintenance strategies. Finally, the application of the proposed model is investigated via a transportation system case. Matlab programming is developed for the case, and genetic algorithm is used to solve the optimization model.

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Section: A Brief Literature Reviewmentioning

confidence: 99%

A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k‐out‐of‐n:F systems

Khorshidi

Gunawan

Ibrahim

2016

Appl Stoch Models Bus & Ind

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“…Yet, the reliability of k-out-of-n systems has been extensively studied (Tian et al (2009), Yun et al (2011), Zhu et al (2012), and Zakaria et al (1992)). De Smidt-Destombes et al (2009) have developed a technique to jointly optimize the spare part stock level, the maintenance initial level and the repair capacity for k-out-of-n systems.…”

Section: Introductionmentioning

confidence: 99%

Periodic inspection frequency and inventory policies for ak-out-of-nsystem

Bjarnason

Taghipour

2015

IIE Transactions

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We investigate maintenance and inventory policy for a k-out-of-n system in which the components' failures are hidden and follow a non-homogeneous Poisson process. Two types of inspections are performed to find failed components: planned periodic inspections and unplanned opportunistic inspections. The latter are performed at system failure times when n-k+1 components are down simultaneously. In all cases, the failed components are either minimally repaired or replaced with spare parts from the inventory. The inventory is replenished either periodically or when the system fails. The periodic orders have a random lead-time, but there is no lead-time for emergency orders, as these are placed at system failure times. The key objective is to develop a method to solve the joint maintenance and inventory problem for systems with considerable number of components, long planning horizon, and large inventory. We construct a simulation model to jointly optimize the periodic inspection interval, the periodic reorder interval, and periodic and emergency order-up-to levels. Because of the large search space, it is infeasible to try all possible combinations of decision variables in a reasonable amount of time. Thus, the simulation model is integrated with a heuristic search algorithm to obtain the optimal solution.

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“…Shao and Lamberson [4] presented a Markov model to analyze the -out-of-load-sharing systems. With respect to such systems, numerous studies have explored the issues of reliability evaluation [5]- [7], inspection scheduling [8], maintenance optimization and system design [9].…”

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confidence: 99%

Reliability Modeling and Analysis of Load-Sharing Systems With Continuously Degrading Components

Zhao

Liu

2018

IEEE Trans. Rel.

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This paper presents a reliability modeling and analysis framework for load-sharing systems with identical components subject to continuous degradation. It is assumed that the components in the system suffer from degradation through an additive impact under increased workload caused by consecutive failures. A log-linear link function is used to describe the relationship between the degradation rate and load stress levels. By assuming that the component degradation is well modeled by a step-wise drifted Wiener process, we construct maximum likelihood estimates (MLEs) for unknown parameters and related reliability characteristics by combining analytical and numerical methods. Approximate initial guesses are proposed to lessen the computational burden in numerical estimation. The estimated distribution of MLE is given in the form of multivariate normal distribution with the aid of Fisher information. Alternative confidence intervals are provided by bootstrapping methods. A simulation study with various sample sizes and inspection intervals is presented to analyze the estimation accuracy. Finally, the proposed approach is illustrated by track degradation data from an application example.

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Economic design of a load-sharing consecutivek-out-of-n:F system

Cited by 31 publications

References 9 publications

A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k‐out‐of‐n:F systems

A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k‐out‐of‐n:F systems

Periodic inspection frequency and inventory policies for ak-out-of-nsystem

Reliability Modeling and Analysis of Load-Sharing Systems With Continuously Degrading Components

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