On the Performance of Geometric Chart with Estimated Control Limits

Journal of Quality Technology344448-458JQUT

Poisson Distributed Individuals Control Charts with Optimal Limits

The conventional method used in attribute control charts is the Shewhart three sigma limits. The implicit assumption of the Normal distribution in this approach is not appropriate for skewed distributions such as Poisson, Geometric and Negative Binomial. Normal approximations perform poorly in the tail area of the these distributions. In this research, a type of attribute control chart is introduced to monitor the processes that provide count data. The economic objective of this chart is to minimize the cost of its errors which is determined by the designer. This objective is a linear function of type I and II errors. The proposed control chart can be applied to Poisson, Geometric and Negative Binomial as the underlying distribution of count data. Control limits in this chart is calculated optimally since it is based on the probability distribution of the data and can detect a directional shift in the process rate. Some numerical results for the optimal design of the proposed control chart are provided. The expected cost of the control chart is compared to that of a one sided c chart. The effects of changing the available parameters on the cost, errors and the optimal limits of the proposed control chart are shown graphically

Modeling and designing control chart for monitoring time-between events data

Ph.DDOCTOR OF PHILOSOPH

Contributions in statistical process control for high quality products

Ph.DDOCTOR OF PHILOSOPH

Propuesta de mejora de los gráficos de control por atributos mediante la metodología de Daudin

Esta Tesis Doctoral se centra en la propuesta de mejora del gráfico por atributos u. Se aplica a este gráfico el muestreo doble propuesto por J.J. Daudin (1992) para el gráfico de la media. Se trata de un caso particular en dos etapas del muestreo múltiple, y el gráfico propuesto recibe el nombre de DS-u. El objetivo de esta Tesis Doctoral es conocer cómo se comporta la metodología de Daudin aplicada al gráfico por atributos u, y si mejora la potencia que ofrece el gráfico u clásico. Para ello se ha programado una aplicación empleando algoritmos genéticos con la cual se han realizado simulaciones que han permitido la obtención de conclusiones. Se ha conseguido mejorar para algunos casos concretos.Pérez Bernabeu, E. (2008). Propuesta de mejora de los gráficos de control por atributos mediante la metodología de Daudin [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/3786Palanci

A study of advanced control charts for complex time-between-events data

Ph.DDOCTOR OF PHILOSOPH

A study of new and advanced control charts for two categories of time related processes

Ph.DDOCTOR OF PHILOSOPH

A study of properties and applications of control charts for high yield processes

Ph.DDOCTOR OF PHILOSOPH

A study of modelling and monitoring time-between-events with control charts

Ph.DDOCTOR OF PHILOSOPH