摘要
提出一种确定退化系统更换策略的方法。应用非齐次马尔科夫过程描述系统中各个部件任意时刻状态,再根据UGF在处理独立随机变量方面的良好性质,将各个部件的瞬时状态转化为系统状态,进而求出系统可靠度函数和寿命均值。考虑系统维修和更换过程中各种损失及系统工作过程中收益,以最大单位时间收益为目标确定更换策略,并通过实例给出具体建模和求解过程。
In this paper, a new method is pro- posed to determine the optimal replacement policy. We assess the dynamic element state probabilities of each aging multi - state element using a stochastic process model which is identified as a non - homogeneous continuous time Markov model （NHCTMM） ,we evaluate the state distribution of the entire MSS via the combination of the stochas- tic process, and the universal generating function （UGF）. Moreover,we derive an explicit expression of the long - run expected profit per unit time. The proposed models are demonstrated via an illustra- tive case of a three- element series- parallel MSS.
出处
《机械与电子》
2013年第12期15-18,共4页
Machinery & Electronics
关键词
多状态系统
更换策略
非齐次马尔科夫过程
概率生成函数
multi - state system
replacement policy
non- homogeneous continuous time Markov model
universal generating function
