Performance Assessment and Design for Univariate Alarm Systems Based on FAR, MAR, and AAD
Performance Assessment and Design for Univariate Alarm Systems Based on FAR, MAR, and AAD
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DOI：
10.1109/tase.2011.2176490
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发表时间：
2012-04
影响因子：
5.6
通讯作者：
Jianwei Xu;Jiandong Wang;I. Izadi;Tongwen Chen
中科院分区：
文献类型：
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作者：
Jianwei Xu;Jiandong Wang;I. Izadi;Tongwen Chen
单变量报警系统的性能在许多情况下可以通过三个指标来评估，即虚警率（FAR）、漏警率（MAR）和平均报警延迟（AAD）。首先，本文研究的定义和计算的FAR，MAR，和AAD的报警生成的基本机制完全基于一个跳闸点，并利用报警开/关延迟报警生成的高级机制。其次，基于三个性能指标和它们之间的权衡，研究了报警系统的系统设计。FAR、MAR和AAD的计算以及报警系统的设计都需要一元过程变量在正常和异常情况下的概率密度函数。因此，提出了一种基于均值变化检测的新方法来估计这两个PDF。数值例子和工业案例研究，以验证所获得的理论结果的FAR，MAR和AAD，并说明所提出的性能评估和报警系统的设计程序。
The performance of a univariate alarm system can be assessed in many cases by three indices, namely, the false alarm rate (FAR), missed alarm rate (MAR), and averaged alarm delay (AAD). First, this paper studies the definition and computation of the FAR, MAR, and AAD for the basic mechanism of alarm generation solely based on a trip point, and for the advanced mechanism of alarm generation by exploiting alarm on/off delays. Second, a systematic design of alarm systems is investigated based on the three performance indices and the tradeoffs among them. The computation of FAR, MAR, and AAD and the design of alarm systems require the probability density functions (PDFs) of the univariate process variable in the normal and abnormal conditions. Thus, a new method based on mean change detection is proposed to estimate the two PDFs. Numerical examples and an industrial case study are provided to validate the obtained theoretical results on the FAR, MAR and AAD, and to illustrate the proposed performance assessment and alarm system design procedures.