修理工休假的预防维修更换策略

发布时间：2018-05-14 17:02

本文选题：可修系统 + 维修策略　；参考：《燕山大学》2012年硕士论文

【摘要】：在可靠性数学理论中，维修策略已经成为研究的重要内容。修理工休假的预防维修模型是维修策略的一个热门研究课题。为了延长系统的运行时间，在系统故障之前考虑了预防维修。论文在参考文献的基础上，将事后维修和预防维修结合起来运用于可修系统，且假定预防维修能够“修复如新”，而事后维修为“修复非新”，研究了几种修理工休假的预防维修策略。首先，研究了修理工带有单重休假且延迟修理的可修系统的预防维修策略。系统每次故障时，延迟修理的概率为1p，以系统的故障次数为更换策略。通过更新过程理论，得出了系统经长期运行单位时间内期望费用的表达式，，并与非预防维修策略下得到的期望费用进行了比较。通过实例验证，存在最优维修策略使目标函数达到最小。其次，在修理工带有多重休假的条件下，分别讨论了可修系统只有一种失效状态和两种失效状态的预防维修策略。以系统的故障次数为维修策略，得出了系统经长期运行单位时间内期望费用的明显表达式，并对预防维修的周期、修理工休假时间及维修策略进行讨论。再次，研究了修理工带有多重休假且定期检测的累积冲击模型。为了延长系统的运行时间，在检测时考虑了预防维修。以系统的检测周期和故障次数为二维决策变量，选取系统经长期运行单位时间内期望费用为目标函数。并通过数值分析，求出了最优策略。最后，研究了修理工带有多重休假的串联可修系统的预防维修策略。以部件的故障次数为维修策略，在期望费用的约束下，选取系统经长期运行单位时间内平均停机时间为目标函数，建立了非线性规划模型。
[Abstract]:In the reliability mathematics theory, the maintenance strategy has become the important content of the research. The preventive maintenance model of repairman's vacation is a hot research topic of maintenance strategy. In order to extend the running time of the system, preventive maintenance was considered before the system failure. On the basis of reference, the paper applies the ex post maintenance and preventive maintenance to the repairable system, and assumes that the preventive maintenance can be repaired as new, while the post repair is not new. Several preventive maintenance strategies for repairman's vacation are studied. Firstly, the preventive maintenance strategy of repairable system with single vacation and delayed repair is studied. The probability of delay repair is 1 p when the system fails, and the replacement strategy is based on the failure times of the system. Based on the renewal process theory, the expression of the expected cost per unit time of the system is obtained and compared with the expected cost under the non-preventive maintenance strategy. An example shows that there is an optimal maintenance strategy to minimize the objective function. Secondly, under the condition that the repairman has multiple vacations, the preventive maintenance strategy of repairable system with only one failure state and two failure states is discussed respectively. Taking the failure times of the system as the maintenance strategy, an obvious expression of the expected cost per unit time of the system running for a long time is obtained, and the period of preventive maintenance, the vacation time of the repairman and the maintenance strategy are discussed. Thirdly, the cumulative impact model with multiple vacations and periodic detection is studied. In order to prolong the running time of the system, preventive maintenance is considered in the inspection. Taking the detection period and the number of faults as the two dimensional decision variables, the expected cost of the system per unit time is chosen as the objective function. The optimal strategy is obtained by numerical analysis. Finally, the preventive maintenance strategy of the series repairable system with multiple vacations is studied. Taking the failure times of components as the maintenance strategy and under the constraint of expected cost, the nonlinear programming model is established by selecting the average downtime per unit time of the system as the objective function.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH17

【参考文献】