TY - GEN

T1 - Monitoring quadratic behavior with non-constant standard deviation

AU - Ramirez-Galindo, Jose G.

AU - Temblador-Perez, María Del Carmen

AU - Beruvides, Mario G.

AU - Cordero-Franco, Alvaro E.

PY - 2012

Y1 - 2012

N2 - The control chart (CC) was originally developed to monitor a quality characteristic aiming a target value. However, new processes have developed with many components, which have resulted in more complex systems, thus requiring a different handling due to the trended behavior commonly encountered. When the trend is linear, approaches such as the regression control chart and even adapted traditional approaches (such as Shewhart's CC or EWMA CC) have been employed. However, under a non-linear trend (such as in many econometric series) not much research has been performed. A non-linear trend provokes non-constant variability, which complicates the direct use of traditional parametric procedures. This paper proposes a theoretical model for the monitoring of complex systems represented by quadratic behavior with non-constant variability. The proposition is done considering Shewhart's foundations, time series analysis, and probability theory. Areas of current and future research are also provided.

AB - The control chart (CC) was originally developed to monitor a quality characteristic aiming a target value. However, new processes have developed with many components, which have resulted in more complex systems, thus requiring a different handling due to the trended behavior commonly encountered. When the trend is linear, approaches such as the regression control chart and even adapted traditional approaches (such as Shewhart's CC or EWMA CC) have been employed. However, under a non-linear trend (such as in many econometric series) not much research has been performed. A non-linear trend provokes non-constant variability, which complicates the direct use of traditional parametric procedures. This paper proposes a theoretical model for the monitoring of complex systems represented by quadratic behavior with non-constant variability. The proposition is done considering Shewhart's foundations, time series analysis, and probability theory. Areas of current and future research are also provided.

KW - Control chart

KW - Non-constant variability

KW - Non-linear behavior

UR - http://www.scopus.com/inward/record.url?scp=84900346243&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84900346243

SN - 9780983762416

T3 - 62nd IIE Annual Conference and Expo 2012

SP - 2484

EP - 2490

BT - 62nd IIE Annual Conference and Expo 2012

PB - Institute of Industrial Engineers

Y2 - 19 May 2012 through 23 May 2012

ER -