An Enhanced EWMA Model for Statistical Insights in Process Monitoring with Application in Brake Pad Failure and Carbon Fiber Strength

Conventional control charts often assume normality, which may not hold for many engineering processes. In cases where processes follow an Inverse Maxwell $$\left( {{\text{IM}}} \right)$$ distribution, as seen in various industrial applications, it becomes crucial to employ suitable monitoring methods. To address this gap, this study introduces the hybrid exponentially weighted moving average ( $${\text{HEWMA}}_{{{\text{IM}}}}$$ ) chart for the $${\text{IM}}$$ distribution. Performance evaluation includes metrics like average run length, median run length, and standard deviation run length. Comparative analysis with existing IM distribution-based charts such as the Shewhart V chart ( $${\text{V}}_{{{\text{IM}}}}$$ ), exponentially weighted moving average ( $${\text{EWMA}}_{{{\text{IM}}}}$$ ), and extended EWMA ( $${\text{EEWMA}}_{{{\text{IM}}}}$$ ) charts reveal the $${\text{HEWMA}}_{{{\text{IM}}}}$$ chart’s superior efficiency. Real-world applications in brake pad production and carbon fiber strength testing validate its practicality and engineering applications. In conclusion, $${\text{HEWMA}}_{{{\text{IM}}}}$$ is a novel tool tailored to monitor $${\text{IM}}$$ processes efficiently, offering enhanced process monitoring for diverse industries.