Optimization problems of replacement first or last in reliability theory
Optimization problems of replacement first or last in reliability theory
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DOI：
10.1016/j.ejor.2012.05.035
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发表时间：
2012-11
期刊：
影响因子：
--
通讯作者：
Xufeng Zhao;T. Nakagawa
中科院分区：
文献类型：
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作者：
Xufeng Zhao;T. Nakagawa
本文研究了具有工作周期的时效周期更换模型，其中部件在故障前在总工作时间T或随机工作周期Y被更换，以最后发生的时间为准，称为最后更换。给出了期望成本率的计算公式，并解析地讨论了使期望成本率最小的最优替代策略。详细比较了这种更换方式与传统更换方式的优劣。根据重置成本的比例和平均工作周期时间对比较结果的影响，从理论和数值上确定哪种策略优于另一种策略。最后更换时，可延长机组运行时间，避免不必要的更换。为进一步研究，得到了修正模型的期望成本率及其在具有工作周期的标准累积损伤模型中的应用，并进行了数值计算。最后，给出了战时和非战时舰艇电子系统维修中的后置更换和优先更换的实例分析。
This paper takes up age and periodic replacement last models with working cycles, where the unit is replaced before failure at a total operating time T or at a random working cycle Y, whichever occurs last, which is called replacement last. Expected cost rates are formulated, and optimal replacement policies which minimize them are discussed analytically. Comparisons between such a replacement last and the conventional replacement first are made in detail. It is determined theoretically and numerically which policy is better than the other according to the ratios of replacement costs and how the mean time of working cycles affects the comparison results. It is also shown that the unit can be operating for a longer time and avoid unnecessary replacements when replacement last is done. For further studies, expected cost rates of modified models and their applications in a standard cumulative damage model with working cycles are obtained and computed numerically. Finally, case studies on replacement last and first in maintaining electronic systems of naval ships under battle and non-battle statuses are given.