The research method of convex optimization for recoverable spare parts with considering false alarm rate

Proceedings of the IEEE 2012 Prognostics and System Health Management Conference (PHM-2012 Beijing) Pub Date : 2012-05-23 DOI:10.1109/PHM.2012.6228898

J. Bian, Linhan Guo, Rui Kang, Naichao Wang

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Abstract

When false alarm being occurrence non-failure product could be misdiagnose and sent to spare parts requirements so that spare parts demand rate could be overestimate, so if false alarm rate was introduced to correct the requirement the demand rate would be made more accurate. The fact is proven which demand process is still stationary when false alarm rate is constant and PALM theory is still applicable. According to the Multi-Echelon Technique for Recoverable Item Control (METRIC) a function relationship between demand numbers and the expectation of backorders(EBO) is established under consideration of false alarm rate. Spare part purchase cost and wait time is integrated to establish optimization target function marked as EBO, and the optimization target function convexity is analyzed. Convex optimization algorithm is developed which focus on system false alarm and cost-efficiency balance. Finally a airplane spare part optimization case is constructed, it can be concluded that the proposed spare part optimization methodology can enhance system efficiency under false alarm condition.

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考虑虚警率的可回收备件凸优化研究方法

当虚警是非故障产品发生时，可能会被误诊并发送到备件需求中，从而高估备件需求率，因此如果引入虚警率来纠正需求，则会使需求率更加准确。证明了当虚警率一定时，需求过程仍然是平稳的，PALM理论仍然适用。根据多级可回收物品控制技术(METRIC)，在考虑虚警率的情况下，建立了需求数与缺货期望之间的函数关系。将备件采购成本与等待时间相结合，建立了以EBO标记的优化目标函数，并分析了优化目标函数的凸性。针对系统虚警和成本效益平衡问题，提出了凸优化算法。最后构建了一个飞机备件优化实例，结果表明所提出的备件优化方法可以在虚警情况下提高系统效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the IEEE 2012 Prognostics and System Health Management Conference (PHM-2012 Beijing)

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