带有故障小修的单部件可修系统的预防维修策略

发布时间：2018-04-17 17:42

本文选题：几何过程 + 预防维修策略　；参考：《西南交通大学》2012年硕士论文

【摘要】：可修系统是可靠性理论中讨论的一类重要系统,也是可靠性数学的主要研究对象之一。在系统的维修策略研究中,带有故障小修的周期预防维修策略是最基本的维修策略之一,对于维修计划的制定和提高系统的可用度具有现实的意义。本文研究的是以可靠性,安全性为中心的预防维修计划,提出了对系统部件进行周期小修预防维修计划的优化方法。首先,本文假设在系统部件修旧非新的条件下,基于几何过程不考虑小修时间的预防维修策略(R,N),预防维修周期是变化的,由可靠度来确定,当系统可靠度下降到一定值就对系统部件进行预防维修。当系统部件失效时就进行小修,小修只能恢复系统部件的工作状态,小修时间不计,当预防维修次数达到N时就进行更换,进而推导出了系统长期运行单位时间内的最小花费,在此基础上并建立了费用维修的预防维修策略模型,并给出算例对模型求解,得出最优的预防维修策略。其次,本文研究的是基于几何过程考虑小修时间的预防维修策略(R,N),预防维修周期也是由可靠度来确定,系统失效时进行小修,这里的小修时间不是忽略不计而是假设每个周期内每次小修时间变量独立同分布,每个周期之间的小修时间是服从随机递增的几何过程,当系统预防维修N次时就进行更换。最后给出系统的平均花费的表达式,通过算例对模型求解,得出最优的预防维修策略。再次,本文研究的是基于几何过程的周期小修的预防维修策略(cd,N),考虑到具有严重安全性以及环境性故障后果的机械系统零部件,它们要求在预防维修周期内安全可靠性相对来说比较高,比如像航空系统对系统部件的安全性就要求的比较高,所以在这里系统的预防维修周期是由安全工作时间来确定的,当系统的安全工作时间达到一定值时就对系统进行预防维修。同样给出了算例对模型求解,得出最优的预防维修策略。最后由模型一和模型二比较可得小修时间确实影响到最优维修策略的制定,而且考虑小修时间的模型得到的最小维修费用大于不考虑小修时间的最小维修费用,这是合理的,因为考虑小修时间就是相当于考虑了因为小修而产生的停工损失,这样就会使得费用变大。由模型二和模型三比较可得,模型二更优,但模型三的维修策略适合对安全性要求比较高,对费用要求相对不高的维修系统。
[Abstract]:Repairable system is a kind of important system discussed in reliability theory, and it is also one of the main research objects of reliability mathematics.In the research of system maintenance strategy, periodic preventive maintenance strategy with minor fault repair is one of the most basic maintenance strategies, which has practical significance for making maintenance plan and improving the availability of the system.In this paper, the preventive maintenance plan centered on reliability and safety is studied, and the optimization method of periodic minor repair preventive maintenance plan for system components is put forward.First of all, this paper assumes that the preventive maintenance strategy based on geometric process does not take minor repair time into account under the condition that the system components are repaired old and not new. The preventive maintenance period is variable and is determined by reliability.When the reliability of the system drops to a certain value, preventive maintenance of the system components is carried out.Minor repairs are carried out when the system components fail, and minor repairs can only restore the working state of the system components. The minor repair time is not taken into account. When the preventive maintenance times reach N, the minimum cost per unit time of the system is deduced.On this basis, the preventive maintenance strategy model of cost maintenance is established, and an example is given to solve the model, and the optimal preventive maintenance strategy is obtained.Secondly, the preventive maintenance strategy based on geometric process considering minor repair time is studied in this paper. The preventive maintenance period is also determined by reliability, and minor repairs are carried out when the system fails.The minor repair time here is not ignored but assumed that each minor repair time variable in each cycle is distributed independently. The minor repair time between each cycle is a geometric process of random increment and is replaced when the preventive maintenance of the system is N times.Finally, the expression of the average cost of the system is given, and the optimal preventive maintenance strategy is obtained by solving the model with an example.Thirdly, this paper studies the preventive maintenance strategy of periodic minor repair based on geometric process, considering the mechanical system components with serious safety and environmental failure consequences.They require a relatively high level of safety and reliability during the preventive maintenance cycle, such as the relatively high requirements for the safety of system components in aviation systems, so the preventive maintenance cycle of the system is determined by safe working hours here.When the safe working time of the system reaches a certain value, preventive maintenance of the system is carried out.At the same time, an example is given to solve the model, and the optimal preventive maintenance strategy is obtained.Finally, compared with model 1 and model 2, the minimal repair time can really affect the formulation of the optimal maintenance strategy, and the minimum maintenance cost of the model considering the minor repair time is larger than the minimum maintenance cost without considering the minor repair time, which is reasonable.Because considering minor repair time is equivalent to taking into account the damage caused by minor repairs, this will increase the cost.Compared with model 2 and model 3, model 2 is better than model 2, but the maintenance strategy of model 3 is suitable for maintenance systems with high security requirements and relatively low cost requirements.
【学位授予单位】：西南交通大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH17

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