A non-Markov model for the optimum replacement of self-repairing systems subject to shocks
A non-Markov model for the optimum replacement of self-repairing systems subject to shocks
复制标题
用于最佳更换受冲击的自修复系统的非马尔可夫模型
DOI：
10.2307/3214445
复制
发表时间：
1988
影响因子：
1
通讯作者：
R. E. Grace
中科院分区：
文献类型：
--
作者：
A. Rangan;R. E. Grace
系统会受到冲击；时间 t 的每次冲击都会使累积损伤 λ (t) 增加恒定量，而系统会在两次冲击之间进行修复，从而以恒定速率降低 λ (t)。冲击到达过程是一个强度函数为 λ (t) 的非齐次泊松过程，每次冲击都会削弱系统，使其运行成本更高。获得运行系统的单位时间的长期预期成本以及成本的方差，用于获得系统的最佳更换次数。
A system is subject to shocks; each shock at time t increases the cumulative damage λ (t) by a constant amount, while the system is subject to repair in between the shocks which brings down λ (t) at a constant rate. The shock arrival process is an inhomogeneous Poisson process with intensity function λ (t) and each shock weakens the system making it more expensive to run. The long-run expected cost per unit time of running the system is obtained as well as the variance of the cost which are used to get optimal times of replacement of the system.