Optimal replacement policy for a repairable system with deterioration based on a renewal-geometric process
Optimal replacement policy for a repairable system with deterioration based on a renewal-geometric process
复制标题
基于更新几何过程的退化可修复系统的最优更换策略
DOI：
10.1007/s10479-016-2133-4
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发表时间：
2016
影响因子：
4.8
通讯作者：
Yingwu Chen
中科院分区：
文献类型：
--
作者：
Caiyun Niu;Xiaolin Liang;Bingfeng Ge;Xue Tian;Yingwu Chen
针对一类退化可修系统的新维修模型，提出了在整个系统寿命周期内最小化平均费用率的最优更换策略。假设系统在每次维修后都发生劣化，且劣化概率有增加的趋势。更具体地说，一个新的维修模型，首先提出了一个新的定义的更新几何过程的基础上，它分为一个早期的更新过程和后期的几何过程来描述这样一个特殊的退化延迟。然后，根据更新-报酬定理，给出了新模型的平均费用率。其次，给出了一个定理，分别导出了几何过程维修模型和新提出的模型的最优更换策略的理论关系。最后，数值例子表明，可以确定最佳值，以最小化平均成本率。
The optimal replacement policy is proposed for a new maintenance model of a repairable deteriorating system to minimize the average cost rate throughout the system life cycle. It is assumed that the system undergoes deterioration with an increasing trend of deterioration probability after each repair. More specifically, a novel maintenance model is first presented based on a new defined renewal-geometric process, which splits the operation process into an early renewal process and a late geometric process to characterize such a special deterioration delay. Then, the average cost rate for the new model is formulated according to the renewal-reward theorem. Next, a theorem is presented to derive the theoretical relationships of optimal replacement policies for the geometric-process maintenance model and the new proposed model, respectively. Finally, numerical examples suggest that the optimum values can be determined to minimize the average cost rates.