基于两种不同延迟过程的退化系统之最优更换策略  

Optimal Replacement Policy For a Deteriorating System Based on Two Different Delayed Processes

作　　者：李玲[1] 成国庆[1] 柳炳祥[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院,江西景德镇333403

出　　处：《数学的实践与认识》2013年第3期171-177,共7页Mathematics in Practice and Theory

基　　金：国家科技支撑计划项目(2012BAH25F02);江西省教育厅青年科学基金(GJJ12507);江西省自然科学基金项目(20122BAB201044)

摘　　要：将延迟几何过程进行推广并引入延迟α-幂过程,以用于处理退化过程会发生延迟且延迟发生的概率会随故障次数的增多而减小的系统.以系统的故障次数为更换策略,以平均费用率为目标函数,建立了维修更换模型,证明了最优维修更换策略的存在性.最后,通过一个数值例子验证了方法的有效性.A deteriorating repairable system with its degenerative pr, ocess-could be delayed is proposed. Assume that the probability of delayed process is decreasing by tl：ie number of system failure. An explicit expression of average cost rate of such system is given by using generalized delayed geometric process and delayed s-series process with the replacement policy based on the failure number of the system. The optimal replacement policy is derived analytically. Finally, a numerical example is given to validate the model.

关 键 词：退化系统 延迟α-幂过程 延迟几何过程 更换策略 

分 类 号：O213.2[理学—概率论与数理统计]