Implementing Synthetic Control Charts

Abstract

We present a program in C, SYNTH, which can be used to design a synthetic control chart that minimizes the out-of-control average run length (ARL). The synthetic chart, an integration of the Shewhart X̄ and the conforming run length charts, detects shifts in the process mean, δ, but produces smaller out-of-control ARL's than the Shewhart X̄ chart and outperforms the exponentially weighted moving average (EWMA) chart when δ is approximately greater than 0.8σ.

• Average Run Length
• X̄ Control Charts

Additional information

Notes on contributors

Zhang Wu

Dr. Wu is an Associate Professor in the School of Mechanical and Production Engineering. He is a Member of ASQ. His email address is [email protected].

Trevor A. Spedding

Dr. Spedding is an Associate Professor in the School of Mechanical and Production Engineering.