标题： 角度控制图：多状态系统可靠性监控的新视角 显示英文标题

标题： Angular Control Charts: A New Perspective for Monitoring Reliability of Multi-State Systems

摘要： 控制图曾被传统用于质量监控，此处被替代用于系统的可靠性监控。 换句话说，它们可以用来检测系统失效行为的变化。 这一目的不仅要求修改传统的控制图，还需要开发出更适用于可靠性监控的图表。 后一类开发出的图表被称为概率限值控制图。 现有的可靠性监控控制图仅适用于二态系统，无法同时监控多态。 因此，本文提出了一种适用于多态系统的控制图设计，称为角控制图，它是概率限值控制图的新版本。 这种设计除了能够同时和单独地监控状态转换外，还具备相应的功能。 通过实施一些说明性的系统实例来探索新设计的监控程序，并展示其效率、效果和局限性。 显示英文摘要

摘要： Control charts, as had been used traditionally for quality monitoring, were applied alternatively to monitor systems' reliability. In other words, they can be applied to detect changes in the failure behavior of systems. Such purpose imposed modifying traditional control charts in addition to developing charts that are more compatible with reliability monitoring. The latter developed category is known as probability limits control charts. The existing reliability monitoring control charts were only dedicated to binary-state systems, and they can't be used to monitor several states simultaneously. Therefore, this paper develops a design of control charts that accommodates multi-state systems, called here as the Angular Control Chart, which represents a new version of the probability limits control charts. This design is able to monitor state transitions simultaneously and individually in addition. Illustrative system examples are implemented to explore the monitoring procedure of the new design and to demonstrate its efficiency, effectiveness, and limitations.