工作时间受限的单部件可修系统的维修策略

摘要

基于几何过程理论,研究了一类工作时间受限的单部件可修系统的最优更换策略问题.假定系统的维修时间和工作时间都服从一般分布,当工作时间低于预先给定的阈值φ,或当系统的维修次数达到N时,不再维修,而是更换上全新系统.利用更新过程理论,得到了系统平均故障频度和平均可用度等可靠性指标,并给出了系统长期运行单位时间期望效益函数的表达式,最后通过数值模拟讨论了下限阈值和工作次数对最优策略的影响.%By applying the geometric process theory,the optimal repair replacement policy for a single-unit system with limited working time is studied in this paper.Assuming that the maintenance time and working time obey the general distribution,when the working time is lower than the settled threshold φ,or if the system is repaired N times,the system will be replaced.By using the theory of renewal process,some reliability indices including the average occurrence of failure and average availability for the system are obtained.The function expression for long-run expected benefit is also obtained.Finally,by numerical simulation,the effects of the lower threshold and the working times on optimal strategy are discussed.