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Design and pricing of maintenance service contract based on Nash non-cooperative game approach 被引量:1
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作者 SU Chun HUANG Kui 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2024年第1期118-129,共12页
Nowadays manufacturers are facing fierce challenge.Apart from the products,providing customers with multiple maintenance options in the service contract becomes more popular,since it can help to improve customer satis... Nowadays manufacturers are facing fierce challenge.Apart from the products,providing customers with multiple maintenance options in the service contract becomes more popular,since it can help to improve customer satisfaction,and ultimately promote sales and maximize profit for the manufacturer.By considering the combinations of corrective maintenance and preventive maintenance,totally three types of maintenance service contracts are designed.Moreover,attractive incentive and penalty mechanisms are adopted in the contracts.On this basis,Nash non-cooperative game is applied to analyze the revenue for both the manufacturer and customers,and so as to optimize the pricing mechanism of maintenance service contract and achieve a win-win situation.Numerical experiments are conducted.The results show that by taking into account the incentive and penalty mechanisms,the revenue can be improved for both the customers and manufacturer.Moreover,with the increase of repair rate and improvement factor in the preventive maintenance,the revenue will increase gradually for both the parties. 展开更多
关键词 maintenance service contract Nash game incentive and penalty mechanism corrective maintenance preventive maintenance
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Reliability-BasedModel for Incomplete Preventive ReplacementMaintenance of Photovoltaic Power Systems 被引量:1
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作者 Wei Chen Ming Li +2 位作者 Tingting Pei Cunyu Sun Huan Lei 《Energy Engineering》 EI 2024年第1期125-144,共20页
At present,the operation and maintenance of photovoltaic power generation systems mainly comprise regular maintenance,breakdown maintenance,and condition-based maintenance,which is very likely to lead to over-or under... At present,the operation and maintenance of photovoltaic power generation systems mainly comprise regular maintenance,breakdown maintenance,and condition-based maintenance,which is very likely to lead to over-or under-repair of equipment.Therefore,a preventive maintenance and replacement strategy for PV power generation systems based on reliability as a constraint is proposed.First,a hybrid failure function with a decreasing service age factor and an increasing failure rate factor is introduced to describe the deterioration of PV power generation equipment,and the equipment is replaced when its reliability drops to the replacement threshold in the last cycle.Then,based on the reliability as a constraint,the average maintenance cost and availability of the equipment are considered,and the non-periodic incomplete maintenance model of the PV power generation system is established to obtain the optimal number of repairs,each maintenance cycle and the replacement cycle of the PV power generation system components.Next,the inverter of a PV power plant is used as a research object.The model in this paper is compared and analyzed with the equal cycle maintenance model without considering reliability and the maintenance model without considering the equipment replacement threshold,Through model comparison,when the optimal maintenance strategy is(0.80,4),the average maintenance cost of this paper’s model are decreased by 20.3%and 5.54%and the availability is increased by 0.2395% and 0.0337%,respectively,compared with the equal-cycle maintenance model without considering the reliability constraint and the maintenance model without considering the equipment replacement threshold.Therefore,this maintenance model can ensure the high reliability of PV plant operation while increasing the equipment availability to improve the system economy. 展开更多
关键词 RELIABILITY photovoltaic power system average maintenance cost AVAILABILITY incomplete preventive maintenance hybrid failure rate
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Impact of Safety-Maintenance Practices on the Overall Performance of an Industry
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作者 Kwame Dubik Cletus Akasika +2 位作者 Nicholas Naawie Francis Dery Francis Azum Abunkudugu 《World Journal of Engineering and Technology》 2024年第3期759-774,共16页
The study aims to evaluate how safety-maintenance practices affect the mechanical engineering industry’s overall performance in Ghana. The study used a descriptive survey design technique to ascertain the type of mai... The study aims to evaluate how safety-maintenance practices affect the mechanical engineering industry’s overall performance in Ghana. The study used a descriptive survey design technique to ascertain the type of maintenance engineering that was practiced in Ghanaian mechanical engineering workshops at the time of the study. In the mechanical engineering workshops, respondents provided both qualitative and quantitative data using a variety of data collecting instruments, with the quantitative approach being more common. The study employed Kumasi, Tamale, and Accra’s mechanical engineering workshops as a case study. The number of mechanical engineering workshop enterprises that made up the sample size for the questionnaire administration was sixty (60), chosen at random from the AGI membership registry. Primary data was gathered using interview guides and questionnaires. To analyse the data, descriptive statistics were employed. According to the study’s findings, mechanical engineering companies combined different maintenance techniques in order to best fit their organisational culture and equipment. Preventive shut-down, with a mean score of 4.78 and RII = 0.98, placing first (1st) in the Likert rating order, is the most frequently used maintenance system by respondents. The maintenance procedures employed by mechanical engineering organisations were influenced not only by their equipment and organisational culture but also by other factors such as cost, personnel expertise and external partnerships. 展开更多
关键词 Safety-maintenance Practices Mechanical Engineering Industry Ghana maintenance Engineering Organizational Culture Equipment maintenance Preventive maintenance maintenance Strategies
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Optimal quasi-periodic maintenance policies for two-unit series system 被引量:2
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作者 高文科 张志胜 +1 位作者 周一帆 甘淑媛 《Journal of Southeast University(English Edition)》 EI CAS 2013年第4期450-455,共6页
To investigate the effects of various random factors on the preventive maintenance (PM) decision-making of one type of two-unit series system, an optimal quasi-periodic PM policy is introduced. Assume that PM is per... To investigate the effects of various random factors on the preventive maintenance (PM) decision-making of one type of two-unit series system, an optimal quasi-periodic PM policy is introduced. Assume that PM is perfect for unit 1 and only mechanical service for unit 2 in the model. PM activity is randomly performed according to a dynamic PM plan distributed in each implementation period. A replacement is determined based on the competing results of unplanned and planned replacements. The unplanned replacement is trigged by a catastrophic failure of unit 2, and the planned replacement is executed when the PM number reaches the threshold N. Through modeling and analysis, a solution algorithm for an optimal implementation period and the PM number is given, and optimal process and parametric sensitivity are provided by a numerical example. Results show that the implementation period should be decreased as soon as possible under the condition of meeting the needs of practice, which can increase mean operating time and decrease the long-run cost rate. 展开更多
关键词 maintenance policy optimization quasi-periodic preventive maintenance two-unit series system
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Single-machine scheduling with preventive periodic maintenance and resumable jobs in remanufacturing system 被引量:2
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作者 刘碧玉 陈伟达 《Journal of Southeast University(English Edition)》 EI CAS 2012年第3期349-353,共5页
A single-machine scheduling with preventive periodic maintenance activities in a remanufacturing system including resumable and non-resumable jobs is studied.The objective is to find a schedule to minimize the makespa... A single-machine scheduling with preventive periodic maintenance activities in a remanufacturing system including resumable and non-resumable jobs is studied.The objective is to find a schedule to minimize the makespan and an LPT-LS algorithm is proposed.Non-resumable jobs are first scheduled in a machine by the longest processing time(LPT) rule,and then resumable jobs are scheduled by the list scheduling(LS) rule.And the worst-case ratios of this algorithm in three different cases in terms of the value of the total processing time of the resumable jobs(denoted as S2) are discussed.When S2 is longer than the spare time of the machine after the non-resumable jobs are assigned by the LPT rule,it is equal to 1.When S2 falls in between the spare time of the machine by the LPT rule and the optimal schedule rule,it is less than 2.When S2 is less than the spare time of the machine by the optimal schedule rule,it is less than 2.Finally,numerical examples are presented for verification. 展开更多
关键词 single-machine scheduling preventive periodic maintenance resumable jobs LPT-LS algorithm
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Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time 被引量:15
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作者 Li Dawei Zhang Zhihua +1 位作者 Zhong Qianghui Zhai Yali 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第4期821-828,共8页
Servicing is applied periodically in practice with the aim of restoring the system state and prolonging the lifetime. It is generally seen as an imperfect maintenance action which has a chief influence on the maintena... Servicing is applied periodically in practice with the aim of restoring the system state and prolonging the lifetime. It is generally seen as an imperfect maintenance action which has a chief influence on the maintenance strategy. In order to model the maintenance effect of servicing, this study analyzes the deterioration characteristics of system under scheduled servicing. And then the deterioration model is established from the failure mechanism by compound Poisson process. On the basis of the system damage value and failure mechanism, the failure rate refresh factor is proposed to describe the maintenance effect of servicing. A maintenance strategy is developed which combines the benefits of scheduled servicing and preventive maintenance. Then the optimization model is given to determine the optimal servicing period and preventive maintenance time, with an objective to minimize the system expected life-cycle cost per unit time and a constraint on system survival probability for the duration of mission time. Subject to mission time, it can control the ability of accomplishing the mission at any time so as to ensure the high dependability. An example of water pump rotor relating to scheduled servicing is introduced to illustrate the failure rate refresh factor and the proposed maintenance strategy. Compared with traditional methods, the numerical results show that the failure rate refresh factor can describe the maintenance effect of servicing more intuitively and objectively. It also demonstrates that this maintenance strategy can prolong the lifetime, reduce the total lifetime maintenance cost and guarantee the dependability of system. 展开更多
关键词 DEPENDABILITY Imperfect maintenance Preventive maintenance Reliability Scheduled servicing
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Opportunistic Preventive Maintenance Optimization for Multi-Unit Series Systems with Combing Multi-Preventive Maintenance Techniques 被引量:7
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作者 周晓军 陆志强 +1 位作者 奚立峰 李杰 《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第5期513-518,共6页
This paper proposes a dynamic opportunistic preventive maintenance (PM) optimization policy for multi-unit series systems by integrating multi PM techniques. Two PM techniques, periodic PM and sequential PM, are consi... This paper proposes a dynamic opportunistic preventive maintenance (PM) optimization policy for multi-unit series systems by integrating multi PM techniques. Two PM techniques, periodic PM and sequential PM, are considered. Whenever one of the units reaches its reliability threshold, a PM action has to be performed on that unit. At that time the whole system has to be stopped and PM opportunities arise for the other unitsof the system. An optimal PM practice is determined by maximizing the short-term cumulative opportunistic maintenance (OM) cost savings for the whole system. Numerical examples are given to show how this approach works. Finally, a comparison between the proposed PM policy and the other policies is given. 展开更多
关键词 preventive maintenance PERIODIC SEQUENTIAL opportunistic maintenance dynamic optimization
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On Problems of Multicomponent System Maintenance Modelling 被引量:10
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作者 Tomasz Nowakowski Sylwia Werbin'ka 《International Journal of Automation and computing》 EI 2009年第4期364-378,共15页
We present an overview of some recent developments in the area of mathematical modeling of maintenance decisions for multi-unit systems. The emphasis is on three main groups of multicomponent maintenance optimization ... We present an overview of some recent developments in the area of mathematical modeling of maintenance decisions for multi-unit systems. The emphasis is on three main groups of multicomponent maintenance optimization models: the block replacement models, group maintenance models, and opportunistic maintenance models. Moreover, an example of a two-unit system maintenance process is provided in order to compare various maintenance policies. 展开更多
关键词 Multicomponent systems corrective and preventive maintenance maintenance free operating periods (MFOP) concepts.
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Application of cluster analysis to preventive maintenance scheme design of pavement 被引量:5
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作者 曾峰 张肖宁 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第4期581-586,共6页
To quantitatively identify the maintenance demand for each highway segments in the pavement maintenance scheme design,a mathematical model of uniform segment division was established and an approach of applying cluste... To quantitatively identify the maintenance demand for each highway segments in the pavement maintenance scheme design,a mathematical model of uniform segment division was established and an approach of applying cluster analysis theory to the uniform segment division and evaluation of pavement maintenance demand was proposed.The actual maintenance project of a highway carried out in Guangdong province was cited as an example to demonstrate the validity of the proposed method.It is proved that the cluster analysis can eliminate human factors in classification without being constrained by the quantities of samples,considering multiple pavement distress indexes and the continuity of samples.Thus it is evident that cluster analysis is an efficient analytical tool in uniform segment division and evaluation of maintenance demand. 展开更多
关键词 preventive maintenance maintenance demand segment division cluster analysis
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Maintenance decision-making method for manufacturing system based on cost and arithmetic reduction of intensity model 被引量:4
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作者 刘繁茂 朱海平 刘伯兴 《Journal of Central South University》 SCIE EI CAS 2013年第6期1559-1571,共13页
A cost-based selective maintenance decision-making method was presented.The purpose of this method was to find an optimal choice of maintenance actions to be performed on a selected group of machines for manufacturing... A cost-based selective maintenance decision-making method was presented.The purpose of this method was to find an optimal choice of maintenance actions to be performed on a selected group of machines for manufacturing systems.The arithmetic reduction of intensity model was introduced to describe the influence on machine failure intensity by different maintenance actions (preventive maintenance,minimal repair and overhaul).In the meantime,a resolution algorithm combining the greedy heuristic rules with genetic algorithm was provided.Finally,a case study of the maintenance decision-making problem of automobile workshop was given.Furthermore,the case study demonstrates the practicability of this method. 展开更多
关键词 selective maintenance preventive maintenance arithmetic reduction of intensity model hybrid genetic algorithm
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A dynamic condition-based maintenance optimization model for mission-oriented system based on inverse Gaussian degradation process 被引量:3
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作者 LI Jingfeng CHEN Yunxiang +1 位作者 CAI Zhongyi WANG Zezhou 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第2期474-488,共15页
An effective maintenance policy optimization model can reduce maintenance cost and system operation risk. For mission-oriented systems, the degradation process changes dynamically and is monotonous and irreversible. M... An effective maintenance policy optimization model can reduce maintenance cost and system operation risk. For mission-oriented systems, the degradation process changes dynamically and is monotonous and irreversible. Meanwhile, the risk of early failure is high. Therefore, this paper proposes a dynamic condition-based maintenance(CBM) optimization model for mission-oriented system based on inverse Gaussian(IG) degradation process. Firstly, the IG process with random drift coefficient is used to describe the degradation process and the relevant probability distributions are obtained. Secondly, the dynamic preventive maintenance threshold(DPMT) function is used to control the early failure risk of the mission-oriented system, and the influence of imperfect preventive maintenance(PM)on the degradation amount and degradation rate is analysed comprehensively. Thirdly, according to the mission availability requirement, the probability formulas of different types of renewal policies are obtained, and the CBM optimization model is constructed. Finally, a numerical example is presented to verify the proposed model. The comparison with the fixed PM threshold model and the sensitivity analysis show the effectiveness and application value of the optimization model. 展开更多
关键词 inverse Gaussian(IG)process imperfect preventive maintenance(PM) mission-oriented system dynamic preventive maintenance threshold(DPMT) maintenance optimization
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Periodic Preventive Maintenance Policy with Infinite Time and Limit of Reliability Based on Health Index 被引量:4
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作者 潘尔顺 廖雯竹 卓明良 《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第2期231-235,共5页
The aging of machine can be slowed and the life of machine can be increased by implementing periodic predictive maintenance. In this article,an improvement factor considering maintenance cost,age of machine and learni... The aging of machine can be slowed and the life of machine can be increased by implementing periodic predictive maintenance. In this article,an improvement factor considering maintenance cost,age of machine and learning effect in the process of maintaining is constructed to describe the effect of periodic preventive maintenance. The model of improvement factor can be fitted through health index. Based on improvement factor with infinite time,cost function including preventive maintenance cost,minimal repair cost and replacement cost is explored. The unit cost and the optimized maintenance time interval based on limit of reliability are deduced. The process of optimization and an example are given. 展开更多
关键词 periodic preventive maintenance RELIABILITY improvement factor health index
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Product Modular Design Incorporating Preventive Maintenance Issues 被引量:11
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作者 GAO Yicong FENG Yixiong TAN Jianrong 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2016年第2期406-420,共15页
Traditional modular design methods lead to product maintenance problems, because the module form of a system is created according to either the function requirements or the manufacturing considerations. For solving th... Traditional modular design methods lead to product maintenance problems, because the module form of a system is created according to either the function requirements or the manufacturing considerations. For solving these problems, a new modular design method is proposed with the considerations of not only the traditional function related attributes, but also the maintenance related ones. First, modularity parameters and modularity scenarios for product modularity are defined. Then the reliability and economic assessment models of product modularity strategies are formulated with the introduction of the effective working age of modules. A mathematical model used to evaluate the difference among the modules of the product so that the optimal module of the product can be established. After that, a multi-objective optimization problem based on metrics for preventive maintenance interval different degrees and preventive maintenance economics is formulated for modular optimization. Multi-objective GA is utilized to rapidly approximate the Pareto set of optimal modularity strategy trade-offs between preventive maintenance cost and preventive maintenance interval difference degree. Finally, a coordinate CNC boring machine is adopted to depict the process of product modularity. In addition, two factorial design experiments based on the modularity parameters are constructed and analyzed. These experiments investigate the impacts of these parameters on the optimal modularity strategies and the structure of module. The research proposes a new modular design method, which may help to improve the maintainability of product in modular design. 展开更多
关键词 modular design modularity strategy preventive maintenance optimization design
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Optimal Burn-in and Preventive Maintenance Modeling with Competing Failure Processes 被引量:2
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作者 黄文平 周经伦 +1 位作者 宁菊红 刘天宇 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第3期293-297,共5页
In this article, we assume that the product in the burn-in procedure only experiences continuous smooth degradation process, while in the field operation period the product experiences both continuous smooth degradati... In this article, we assume that the product in the burn-in procedure only experiences continuous smooth degradation process, while in the field operation period the product experiences both continuous smooth degradation process and shock process. The shock process can cause the product not only traumatic failure,but also additional abrupt degradation damage. After the system reliability model and maintenance model have been proposed, the optimal burn-in setting and age replacement duration are obtained under the considering of minimizing the long run average cost rate. A numerical example with the real data is analyzed to illustrate the application of the model. 展开更多
关键词 competing failure degradation failure random shock traumatic failure BURN-IN preventive maintenance
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Imperfect preventive maintenance for numerical control machine tools with log-linear virtual age process 被引量:5
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作者 郭俊锋 芮执元 +1 位作者 冯瑞成 魏兴春 《Journal of Central South University》 SCIE EI CAS 2014年第12期4497-4502,共6页
Based on the log-linear virtual age process, an imperfect preventive maintenance policy for numerical control(NC)machine tools with random maintenance quality is proposed. The proposed model is a combination of the Ki... Based on the log-linear virtual age process, an imperfect preventive maintenance policy for numerical control(NC)machine tools with random maintenance quality is proposed. The proposed model is a combination of the Kijima type virtual age model and the failure intensity adjustment model. Maintenance intervals of the proposed hybrid model are derived when the failure intensity increase factor and the restoration factor are both random variables with uniform distribution. The optimal maintenance policy in infinite time horizon is presented. A numerical example is given when the failures of NC machine tools are described by the log-linear process. Finally, a discussion is presented to show how the optimal results depend on the different cost parameters. 展开更多
关键词 reliability imperfect preventive maintenance virtual age log-linear process failure intensity
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A preventive opportunistic maintenance method for railway traction power supply system based on equipment reliability 被引量:4
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作者 Sheng Lin Nan Li +4 位作者 Ding Feng Xiaomin Guo Weiguo Pan Jun Wang Chao Yang 《Railway Engineering Science》 2020年第2期199-211,共13页
Conventional maintenance mode for the traction power supply system(TPSS)is to perform scheduled regular maintenance activities for power supply equipment,while such maintenance mode may result in undue maintenance tas... Conventional maintenance mode for the traction power supply system(TPSS)is to perform scheduled regular maintenance activities for power supply equipment,while such maintenance mode may result in undue maintenance tasks and low efficiency due to different degradation processes of different sorts of equipment.To address this problem,this paper introduces a preventive opportunistic maintenance(POM)method for TPSS based on equipment reliability.Firstly,a POM model is established by considering the equipment reliability degradation process based on Weibull distribution.Then,by considering the total power outage time in the planned operation cycle of TPSS as the optimization objective,the optimal maintenance scheme of TPSS is formulated by iterative method of maintenance strategies.The proposed method is verified by introducing practical maintenance strategies and fault record data of the traction transformer,circuit breaker and disconnector in an actual TPSS of a railway administration.Results show that the presented method can make full use of the existing fault data to develop a POM scheme for TPSS.It can improve maintenance efficiency and reduce power outage time,providing guidance to formulate scientific maintenance strategies for TPSS. 展开更多
关键词 Electrified railway Opportunistic maintenance interval Preventive opportunistic maintenance RELIABILITY Traction power supply system Weibull distribution
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Recent Advances in Selective Maintenance from 1998 to 2014 被引量:1
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作者 徐庆征 郭乐勐 +1 位作者 王娜 费蓉 《Journal of Donghua University(English Edition)》 EI CAS 2015年第6期986-994,共9页
The selective maintenance is a new branch and significant breakthrough of reliability and maintenance theory.In the original selective maintenance problem,a subset of maintenance activities is performed on selected co... The selective maintenance is a new branch and significant breakthrough of reliability and maintenance theory.In the original selective maintenance problem,a subset of maintenance activities is performed on selected components during the finite break so that the system is able to maximize the next mission reliability.It is a fast growing research field over the past ten years,in which a variety of mathematical models and solution methodology have been proposed for dealing with more complex and significant problems.An overview of some recent advances in selective maintenance modeling and treatment methods is provided in this paper.A number of challenges that can be undertaken to help move the field forward are also discussed according to the current state of the selective maintenance approach. 展开更多
关键词 selective maintenance mathematical model solution methodology RELIABILITY preventive maintenance maintenance resource
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Warranty Cost Model Based on Optimal Preventive Maintenance Operations for Repairable Products 被引量:1
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作者 周炳海 王佳跃 潘尔顺 《Journal of Donghua University(English Edition)》 EI CAS 2009年第6期575-579,共5页
Most warranty cost models based on preventive maintenance operations are assumed that products improve at each preventive maintenance (PM) operation and the failure rate is reduced to the failure rate of new product... Most warranty cost models based on preventive maintenance operations are assumed that products improve at each preventive maintenance (PM) operation and the failure rate is reduced to the failure rate of new products or to some specified level. To make warranty cost models more suitable to real operations, a modeling method of the PM warranty cost was proposed with the situation where each PM operation slowed the rate of product degradation. A warranty cost model was built on PM operations. On the basis of the cost model, both without and with reliability limit PM warranty policy, algorithms were presented to derive the optimal PM number and the optimal PM interval with an objective of minimizing expected total warranty cost over a t'mite warranty period. Finally, to demonstrate the feasibility of the presented modeling method, Weibuil distribution cases were tested by numerical simulations. The simulation results indicate that the proposed modeling method is feasible and valid for resolving the optimal solution of the product warranty cost. 展开更多
关键词 warranty cost preventive maintenance repairable products failure rate
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Optimal Extended Warranty Policies under Different Maintenance Options 被引量:1
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作者 贾云献 李欣玥 王红梅 《Journal of Donghua University(English Edition)》 EI CAS 2014年第6期890-894,共5页
Extended warranty has recently obtained increasing attention from both manufacturers and customers in China. In this paper,given the reality of China, two types of non-renewing extended warranty were proposed: one-dim... Extended warranty has recently obtained increasing attention from both manufacturers and customers in China. In this paper,given the reality of China, two types of non-renewing extended warranty were proposed: one-dimensional extended warranty and two-dimensional extended warranty. And a combined warranty policy including pro-rata warranty policy and free-repair warranty policy was applied in these two types of warranty. Then the expected life-cycle cost models from the manufacturer and consumer's perspectives were developed considering different maintenance options. The optimal warranty policy, maintenance options,and warranty price were adopted in terms of a win-win interval which was determined by the maximum extra cost the consumer should pay and the minimum price the manufacture should sell at the extended warranty. Finally,a case study was given to prove the effectiveness and validity of the model. 展开更多
关键词 one-dimensional extended warranty two-dimensional extended warranty free-repair warranty pro-rata warranty preventive maintenance(PM) win-win interval
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Optimization Research on Two-Dimensional Preventive Maintenance Intervals 被引量:1
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作者 韩玉成 贾希胜 +1 位作者 白永生 武禹陶 《Journal of Donghua University(English Edition)》 EI CAS 2016年第2期196-200,共5页
For the failures of two-dimensional product affected by the calendar time and usage time,traditional one-dimensional preventive maintenance can't meet the actual demand. Therefore,the concept of two-dimensional pr... For the failures of two-dimensional product affected by the calendar time and usage time,traditional one-dimensional preventive maintenance can't meet the actual demand. Therefore,the concept of two-dimensional preventive maintenance innovatively is proposed,in order to make decision for two-dimensional product through calendar time and usage time. Firstly, failure rate function expression of two-dimensional product is established and the process of two-dimensional preventive maintenance is analyzed in detail.Then a model of two-dimensional preventive maintenance to minimize the consumer's cost per unit of time is proposed. And examples are given to analyze the model's applicability and validity.Furthermore,the optimal two-dimensional preventive maintenance interval is derived. Finally,a brief discussion on future research area about two-dimensional maintenance is given. 展开更多
关键词 two-dimensional maintenance preventive maintenance two-dimensional product
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