Replacement and minimal repair policies for a cumulative damage model with maintenance

Replacement and minimal repair policies for a cumulative damage model with maintenance
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DOI:
10.1016/s0898-1221(03)90126-x
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发表时间:
2003-10
影响因子:
2.9
通讯作者:
C. Qian;S. Nakamura;T. Nakagawa
C. Qian;S. Nakamura;T. Nakagawa
中科院分区:
数学2区
文献类型:
--
作者:
C. Qian;S. Nakamura;T. Nakagawa

文献摘要

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本文考虑了一个扩展的累积损伤模型的更换和最小修理策略,该模型在每次冲击时都有维修:冲击发生在非齐次泊松过程中。当总损坏不超过故障水平K时,系统在每次冲击时进行维护,当总损坏超过故障水平K时,系统在每次冲击时进行最小修理,并且在时间T或故障N时更换,以先发生者为准。得到了期望费用率,并解析地讨论了使期望费用最小的最优T_n和N_n。以数据库系统中的二级存储文件备份为例说明了该模型的应用。
This paper considers replacement and minimal repair polices for an extended cumulative damage model with maintenance at each shock: shocks occur at a nonhomogeneous Poisson process. A system undergoes maintenance at each shock when the total damage does not exceed a failure level K, undergoes minimal repair at each shock when the total damage exceeds a failure level K, and is replaced at time T∗or at failure N∗whichever occurs first. The expected cost rate is obtained and the optimal T∗and N∗minimizing the expected cost are analytically discussed. It is shown that this model would be applied to the backup of secondary storage files in a database system as an example.