A preventive maintenance policy with usage-dependent failure rate thresholds under two-dimensional warranties

2020 ◽  
pp. 1-13 ◽  
Author(s):  
Shizhe Peng ◽  
Wei Jiang ◽  
Wenhui Zhao
Keyword(s):  
Failure Rate ◽  
Preventive Maintenance ◽  
Two Dimensional ◽  
Maintenance Policy ◽  
Dependent Failure ◽  
Preventive Maintenance Policy

Asymptotic failure rate of a Markov deteriorating system with preventive maintenance

2003 ◽  
Vol 40 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Sophie Mercier ◽  
Michel Roussignol
Keyword(s):  
Failure Rate ◽  
Preventive Maintenance ◽  
Sufficient Conditions ◽  
Maintenance Policy ◽  
System A ◽  
Up States ◽  
Finite State ◽  
Degradation Degree ◽  
Preventive Maintenance Policy ◽  
Finite State Space

We consider a system with a finite state space subject to continuous-time Markovian deterioration while running that leads to failure. Failures are instantaneously detected. This system is submitted to sequential checking and preventive maintenance: up states are divided into ‘good’ and ‘degraded’ ones and the system is sequentially checked through perfect and instantaneous inspections until it is found in a degraded up state and stopped to allow maintenance (or until it fails). Time between inspections is random and is chosen at each inspection according to the current degradation degree of the system. Markov renewal equations fulfilled by the reliability of the maintained system are given and an exponential equivalent is derived for the reliability. We prove the existence of an asymptotic failure rate for the maintained system, which we are able to compute. Sufficient conditions are given for the preventive maintenance policy to improve the reliability and the asymptotic failure rate of the system. A numerical example illustrates our study.

scholarly journals Modeling Spare Parts Demands Forecast under Two-Dimensional Preventive Maintenance Policy

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Qiwei Hu ◽  
Yongsheng Bai ◽  
Jianmin Zhao ◽  
Wenbin Cao
Keyword(s):  
Preventive Maintenance ◽  
Spare Parts ◽  
Two Dimensional ◽  
Maintenance Policy ◽  
Calendar Time ◽  
Maintenance Practice ◽  
Preventive Maintenance Policy ◽  
The Mathematical Model ◽  
Novel Model

In maintenance practice, there is such a situation where the spare parts replacement should be carried out at the scheduling time of calendar or usage for whichever comes first. The issue of two-dimensional preventive maintenance usually was not addressed by traditional methods, and at present, few studies were focused on this very topic. Based on these considerations, this paper presented the two-dimensional preventive policy where replacements of spare parts are based on both calendar time and usage time. A novel model was developed to forecast spare parts demands under two-dimensional preventive maintenance policy, and a discrete algorithm was presented for solving the mathematical model. A case study was given to demonstrate its applicability and validity, and it was showed that the presented model can be used to forecast spare parts demands as well as to optimize spare parts and preventive maintenance jointly.

Two-dimensional preventive maintenance optimum for equipment sold with availability-based warranty

2018 ◽  
Vol 233 (4) ◽  
pp. 648-657
Author(s):  
Chun Su ◽  
Longfei Cheng
Keyword(s):  
Preventive Maintenance ◽  
Two Dimensional ◽  
Maintenance Strategy ◽  
Maintenance Policy ◽  
Numerical Example ◽  
Warranty Period ◽  
Warranty Cost ◽  
Complex Equipment ◽  
Object Of Study ◽  
Preventive Maintenance Policy

Selecting complex equipment with availability requirements as the object of study, this article investigates an availability-based warranty policy. Under this policy, apart from providing repairs or replacements upon failures, the manufacturer guarantees a negotiated availability level of products during the warranty period. In order to satisfy the availability requirement of the warranted products with rational cost, two-dimensional preventive maintenance strategy is carried out by the manufacturer, which is scheduled by considering the age and usage of the warranted items. By optimizing two-dimensional preventive maintenance strategy, this study aims to meet products’ availability requirement with the lowest cost from the manufacturer’s perspective. Moreover, customized preventive maintenance programs are designed for different customer categories. Finally, we provide a numerical example to verify the effectiveness of the proposed availability-based warranty policy. The results demonstrate that two-dimensional preventive maintenance strategy is superior in terms of warranty cost and operational availability. Meanwhile, customized preventive maintenance policy is more beneficial to both the transaction sides.

Asymptotic failure rate of a Markov deteriorating system with preventive maintenance

2003 ◽  
Vol 40 (01) ◽  
pp. 1-19 ◽  
Author(s):  
Sophie Mercier ◽  
Michel Roussignol
Keyword(s):  
Failure Rate ◽  
Preventive Maintenance ◽  
Sufficient Conditions ◽  
Maintenance Policy ◽  
System A ◽  
Up States ◽  
Finite State ◽  
Degradation Degree ◽  
Preventive Maintenance Policy ◽  
Finite State Space

We consider a system with a finite state space subject to continuous-time Markovian deterioration while running that leads to failure. Failures are instantaneously detected. This system is submitted to sequential checking and preventive maintenance: up states are divided into ‘good’ and ‘degraded’ ones and the system is sequentially checked through perfect and instantaneous inspections until it is found in a degraded up state and stopped to allow maintenance (or until it fails). Time between inspections is random and is chosen at each inspection according to the current degradation degree of the system. Markov renewal equations fulfilled by the reliability of the maintained system are given and an exponential equivalent is derived for the reliability. We prove the existence of an asymptotic failure rate for the maintained system, which we are able to compute. Sufficient conditions are given for the preventive maintenance policy to improve the reliability and the asymptotic failure rate of the system. A numerical example illustrates our study.

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