Periodic Inspection Optimization of a k-Out-of-n Load-Sharing System

Taghipour, Sharareh; Kassaei, Maryam L

doi:10.1109/tr.2015.2421819

Cited by 68 publications

(41 citation statements)

References 26 publications

(46 reference statements)

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“…Avenues for further progress include a more comprehensive methodology to include analysis of multiple subsystems and to determine statistical dependence between subsystems of a complex repairable system. Furthermore, given current maintenance effects and failure rates, periodic intervals for various PM types and inspections can be optimized …”

Section: Resultsmentioning

confidence: 99%

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Modeling Failure Process and Quantifying the Effects of Multiple Types of Preventive Maintenance for a Repairable System

Said

Taghipour

2016

Quality & Reliability Eng

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In this paper, we consider a repairable system whose failures follow a non‐homogenous Poisson process with the power law intensity function. The system is subject to corrective and multiple types of preventive maintenance. A corrective maintenance has a minimal effect on the system; however, a preventive maintenance may reduce the system's age. We assume the effects of different preventive maintenance on the system are not identical and derive the likelihood function to estimate the parameters of the failure process as well as the effects of preventive maintenance. Moreover, we derive the conditional reliability and the expected number of failures between two consecutive preventive maintenance types. The proposed methods are applied to a real case study of four trucks used in a mining site in Canada. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

“…Furthermore, given current maintenance effects and failure rates, periodic intervals for various PM types and inspections can be optimized. [27][28][29][30][31]…”

Section: Resultsmentioning

confidence: 99%

Modeling Failure Process and Quantifying the Effects of Multiple Types of Preventive Maintenance for a Repairable System

Said

Taghipour

2016

Quality & Reliability Eng

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“…The final objective is satisfied by searching the total expected cost matrix for the minimum value as following: (6) Thus, the final outputs from the proposed simulation model are: the optimal number of minimal repairs before replacement for any component and the optimal periodic inspection interval .…”

Section: Simulation Modelmentioning

confidence: 99%

“…In [3], the genetic algorithm is used to search through a threedimensional objective function to jointly find the optimal inspection and (s, S) inventory policies for a k-out-of-n system with hidden failures. In [4], [5] and [6], the models for finding the optimal inspection interval minimizing the total expected cost over a finite-time life cycle are developed for k-out-of-n load-sharing systems, where each failure increases the hazard rates for the remaining operational components. These models, however, do not feature maintenance optimization along with inspection optimization.…”

Section: Introductionmentioning

confidence: 99%

Joint maintenance and inspection optimization of a k-out-of-n system

Babishin

Taghipour

2016

2016 Annual Reliability and Maintainability Symposium (RAMS)

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Redundantly-configured k-out-of-n systems have wide applications in various industries. Even though the reliability and availability of k-out-of-n systems have been studied in the literature, not many models have been proposed for inspection and maintenance optimization of such systems. In addition, for majority of k-out-of-n systems, it is assumed that a failed component is always rectified by replacement, which is not a realistic assumption for many systems in the real world. In this paper, we consider a k-out-of-n system with components whose failures follow a non-homogeneous Poisson process with power law intensity function. The system is periodically inspected, and if the number of failed components in an inspection interval does not exceed n-k+1, the failed components are detected and rectified only at a periodic inspection. However, if the number of failures reaches n-k+1, the system fails and this is when all the failed components are detected and fixed. When a failure is detected, we should decide whether to minimally repair the component or replace it. Thus, two types of optimal decisions should be made simultaneously: obtaining the optimal maintenance action for a failed component and finding the optimal periodic inspection interval for the entire system. We formulate a model to obtain jointly the optimal maintenance actions and the periodic inspection interval which results in the minimum total expected cost of the system over a finite planning horizon. The optimal maintenance decision is the optimal number of minimal repairs that should be performed before a component is replaced. The total cost includes the cost of periodic inspections, the penalty cost for system failures, minimal repairs and replacements of the components, and the penalty cost for the downtime of the components before they get rectified.We then develop a simulation model to obtain the required model parameters. The application of the proposed model is shown in case studies of a 1-out-of-5 (parallel), 2-out-of-5 and 5-out-of-5 (series) systems. The 1-out-of-5 system incurs the smallest optimal total expected cost of inspection and maintenance, while the 5-out-of-5 system incurs the highest optimal cost. The optimal inspection period is the longest for the 5-out-of-5 system, since the greater number of failures provides a greater number of opportunistic inspections, which reduces the need for frequent periodic inspections.

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“…In their two-component studies, they took account capacitor bank (first component) and the transformer (second component) for a distribution substation in an electric power distribution system. Sh.Taghipour and Maryam L Kassaei [27] studied the both Stochastic and economic dependency. They studied failure interaction for k-outof-n load-sharing system.…”

Section: Introductionmentioning

confidence: 99%

A new model for the optimization of periodic inspection intervals with failure interaction: A case study for a turbine rotor

Rezaei

2017

Case Studies in Engineering Failure Analysis

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Please cite this article as: Esmaeil Rezaei A new model for the optimization of periodic inspection intervals with failure interaction: a case study for a turbine rotor (2015), http://dx. AbstractInspection is one of the important activities to detect and fix failures in repairable system. Optimization of inspection intervals has critical role in maintenance cost and operating system. When a component fails, it is renewed or repaired. A great deal of periodic inspection research is for hidden failure and considered one of the perfect (renew) and minimal repair policies. In literature, the lack of simultaneous consideration of both perfect and minimal repair in reliability model has been observed. This study presents new reliability model by synchronous consideration of both minimal and perfect repair. As well as, the expected total maintenance cost is presented and modeled to figure out the optimal inspection interval. The proposed model is more comprehensive model in reliability evaluation and can be applied in different pertinent problems. The model is applied to steam turbine system which the rotor considered as soft component and filter as hard component. The result revealed that the system should be inspected every 12 month.

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Periodic Inspection Optimization of a k-Out-of-n Load-Sharing System

Cited by 68 publications

References 26 publications

Modeling Failure Process and Quantifying the Effects of Multiple Types of Preventive Maintenance for a Repairable System

Modeling Failure Process and Quantifying the Effects of Multiple Types of Preventive Maintenance for a Repairable System

Joint maintenance and inspection optimization of a k-out-of-n system

A new model for the optimization of periodic inspection intervals with failure interaction: A case study for a turbine rotor

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