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An intelligent control chart for monitoring of autocorrelated egg production process data based on a synergistic control strategy

机译:基于协同控制策略的自动相关鸡蛋生产过程数据监控智能控制图

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摘要

Monitoring livestock production processes by means of statistical control charts can provide an importantsupport for management. The non-stationary and autocorrelated characteristics of most data originatingfrom such processes impede the direct introduction of these data into control charts. To deal withthese characteristics Engineering Process Control strategies can be applied. Stationarity was achieved bymodelling and subtracting the time dependent trend using a non-linear model. Next, the autocorrelationstructure in the residual data is modelled and corrected for by means of an ARMA model. The resultingcorrected stationary and independent residuals are then inserted in the traditional cusum controlscheme. This combined use of Engineering Process Control strategies for modelling the unconventionalstatistical characteristics and Statistical Process Control strategies for constructing the control chart basedon the resulting pre-processed data, is referred to as a Synergistic Control strategy. The developed cusumcontrol chart was tested on data of two layer flocks. In both cases the control chart provided alarms forimportant problems in production and furthermore signalled problems that remained unnoticed by thelayer managers. The amount of false alarms was acceptable. With this control scheme and the schemeof the average egg weight, control procedures for two important output parameters of the productionprocess of consumption eggs are available. Furthermore, this strategy could provide a possible solutionfor other process parameters that also display non-stationarity and autocorrelation.
机译:通过统计控制图监控畜牧生产过程可以为管理提供重要支持。源自此类过程的大多数数据的非平稳和自相关特征阻碍了将这些数据直接引入控制图。为了处理这些特征,可以应用工程过程控制策略。通过使用非线性模型建模并减去时间相关趋势来实现平稳性。接下来,通过ARMA模型对残差数据中的自相关结构进行建模和校正。然后将所得的校正后的固定残差和独立残差插入传统的cusum控制方案中。结合使用工程过程控制策略(用于对非常规统计特性进行建模)和统计过程控制策略(用于基于所得的预处理数据来构建控制图),称为协同控制策略。在两层鸡群的数据上测试了开发的cusumcontrol图。在这两种情况下,控制图都为生产中的重要问题提供了警报,并且还发出了信号,层管理者仍未注意到这些问题。错误警报的数量是可以接受的。通过该控制方案和平均鸡蛋重量的方案,可以得到食用鸡蛋生产过程中两个重要输出参数的控制程序。此外,该策略可以为其他显示非平稳性和自相关性的过程参数提供可能的解决方案。

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