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International Society of Science and Applied Technologies |
| Optimal Replacement Policy under a One-Cycle Criterion with Cumulative Damage | ||||
| Author |
Junhao Liu
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| Co-Author(s) |
Xiaoyan Zhao; Xufeng Zhao
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| Abstract | This paper considers preventive replacement
policies under a one cycle criterion with the cumulative
damage model. The system is subject to two types of
shocks: type I shock, which causes additive damage to the system, and type II shock, which results in system failure. The system performs a preventive replacement at the pre-specified replacement time T or at the time when the accumulated damage caused by type I shocks exceeds a threshold K1 and less than K2, whichever occurs first or last, depending on whether the replacement first (RF) or replacement last (RL) policy is applied. Meanwhile, a corrective replacement of the system is performed at the time when the accumulative damage exceeds K2, or after a type II shock occurs, whichever occurs first, for the RF and RL policies. The RF and RL policies are used to derive optimal replacement time, and optimal one cycle expected cost rates. Comparisons between RF and RL policies are discussed in terms of one cycle expected cost rate. Finally, the numerical examples are provided to illustrate our results and to guide decisions under different conditions.
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| Keywords | Preventive replacement, cumulative damage model, one cycle criterion, replacement first, replacement last |
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| Article #: RQD2026-100 | ||||
Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design |