Optimal inspection policy for three-state systems monitored by variable sample size control charts

Wu, Shaomin

doi:10.1007/s00170-010-3091-7

Cited by 14 publications

(5 citation statements)

References 19 publications

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“…Additionally, some items may have experienced more than one defective state prior to failure. An interesting piece of work related to the development of maintenance policies for items with two defective states can be found in Wu (2011) and Wang et al (2017). This paper proposes a novel method with the delay time concept for items that can be reused and then illustrates its application in the mantle and bowl liner of cone crusher equipment, which is widely used in the mining industry.…”

Section: Practical Context and Motivationmentioning

confidence: 99%

Discussions on the reuse of items based on the delay time modelling

Santos¹,

Cavalcante²,

Wu³

2021

Proc. Of the 11th IMA International Conference on Modelling in Industrial Maintenance and Reliability

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The delay time concept has been used in a wide variety of applications in maintenance policy optimisation. In some situations, the sojourn time of an item at a defective state may hamper the performance of the item due to its reduced efficiency, and may therefore incur more repair cost. Consequently, the longer the sojourn time in a defective state, the worse the influence may cause. Despite these facts, in the literature, there is little research investigating the influence of the sojourn time in the defective state on its relevant cost. In addition, a limited number of papers study delay time modelling for the case that repaired items can be reused. This paper therefore extends a recently published paper by Santos et al. (2021) and presents some insights into the delay time modelling for second-hand items. In general, the proposed model may be applied to the scenarios where used items may be replaced by a new or refurbished one. The main contribution of this paper is on its exploration of methods of item reuse, from which new directions for further studies are established.

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Section: Practical Context and Motivationmentioning

confidence: 99%

Discussions on the reuse of items based on the delay time modelling

Santos¹,

Cavalcante²,

Wu³

2021

Proc. Of the 11th IMA International Conference on Modelling in Industrial Maintenance and Reliability

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“…In preference to previous works (e.g. see [8,9,11,13,17,23,[25][26][27][28][29][31][32][33]), both the cost structure and the inspection model explored here respond to the variation of the system state. Examples of papers that use particular cost structures can be found in [11,23,26,33].…”

Section: Related Workmentioning

confidence: 99%

A novel data-driven approach to optimizing replacement policy

Ahmadi

2017

Reliability Engineering & System Safety

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Parallel systems are a commonly used structure in reliability engineering. A common characteristic of such systems is that the failure of a component may not cause its system to fail. As such, the failure may not be immediately detected and the random (disruption) time at which the number of failed components reaches a certain predefined number d may therefore be unknown. For such systems, scheduling maintenance policy is a difficult task, which is tackled in this paper. The paper assumes that times between inspections conform to a modulated Poisson process. This assumption allows the frequency of inspection responds to the variation of the disruption state. The paper then estimates the disruption time on the basis of inspection point process observations in the framework of filtering theorem. The paper develops a unified cost structure to jointly optimise inspection frequency and replacement time for the system when the lifetime distribution of a component follows the Pareto or exponential distribution. Numerical results are provided to show the application of the proposed model. Nomenclature mNumber of components in the system t r Periodic replacement time X d (t) Disruption state τ d Disruption (alert) time at which the process X d (t) describing the system state jumps from normal state (0) to the degraded state (1)

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“…When potential defects are identified, maintenance can be performed to remove them to prevent future failures from occurring. Wu 11 proposed optimal inspection policy for three-state systems, which is monitored by variable sample size control charts.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the Periodic Inspection Interval for a 1‐out‐of‐2 Cold Standby System Using the Delay‐Time Concept

Wang

Yang³

et al. 2012

Quality & Reliability Eng

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In this article, we deal with a 1‐out‐of‐2 system with a cold‐standby component. The failure process of these two components is statistically identical and characterized by the delay‐time concept, which divides the component's life into a two‐stage process with a normal stage from new to a defect initiation point and a following failure delay stage from this point to failure. A fixed interval periodic inspection is carried out to check whether the working component is defective or not. If a defect is identified, the working component is shut down and sent to be repaired. The repair shop capacity is limited for repairing one component only. If the repair shop is occupied by the standby component (under repair) when the working one is failed, the system is shut down. There are five scenarios of the state of the system at an inspection epoch, which are derived analytically. The expected total cost per unit time of the system consists of the expected cost caused by preventive repair, unplanned failure repair, and system downtime. In this article, these three costs are determined and the optimal inspection interval with respect to the minimum of the expected total cost per unit time is found. To incorporate a nonexponential distribution for the normal time, delay stages, and repair time of the components, the elapsed time in the normal time, delay stages, and repair time at inspection is taken into consideration. A stationary distribution of the elapsed time exists, and it is calculated by an iteration method. Copyright © 2012 John Wiley & Sons, Ltd.

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Optimal inspection policy for three-state systems monitored by variable sample size control charts

Cited by 14 publications

References 19 publications

Discussions on the reuse of items based on the delay time modelling

Discussions on the reuse of items based on the delay time modelling

A novel data-driven approach to optimizing replacement policy

Optimizing the Periodic Inspection Interval for a 1‐out‐of‐2 Cold Standby System Using the Delay‐Time Concept

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