基于Gamma过程的加速劣化系统模型及其最优视情维修策略  

Accelerated deteriorating system model based on Gamma process and its optimal condition-based maintenance policy

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：《计算机集成制造系统》2013年第11期2922-2927,共6页Computer Integrated Manufacturing Systems

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

摘　　要：针对系统劣化速度会随役龄或维修次数的增加而逐渐加快的情况,将Gamma过程与几何过程相结合,提出一种加速劣化模型,研究了加速劣化系统的最优视情维修策略。利用更新过程理论求得系统平均费用率表达式,并给出最优检测、更换策略的数值求解算法。通过算例演示,从定量的角度分析了系统劣化速度的变化对最优检测、更换策略和系统平均费用率的影响。Aiming at the problem that the speed of deteriorating system would accelerate gradually with the increase of enlistment age or maintenance frequency,an accelerated deteriorating system was presented by combining Gamma process with geometric process,and the condition-based maintenance strategy was considered.An explicit expression of average cost rate of system was given by using renewal process,and a numerical algorithm was given to obtain the optimal joint policy.Through numerical examples,the impact of the degeneration speed on optimal policy and average cost rate was studied quantitatively.

关 键 词：视情维修 加速劣化系统 Gamma过程 几何过程 平均费用率 

分 类 号：N945.17[自然科学总论—系统科学] O213.2[理学—概率论与数理统计]