Multivariate Bayesian process control for a finite production run

• Published in: European journal of operational research Vol. 194; no. 3; pp. 795 - 806
• Main Author: Makis, Viliam
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.05.2009; Elsevier; Elsevier Sequoia S.A
• Series: European Journal of Operational Research
• Subjects: Applied sciences; Bayesian analysis; Comparative analysis; Control charts; Correlation analysis; Cost control; Decision theory. Utility theory; Dynamic programming; Exact sciences and technology; Finite horizon; Inventory control, production control. Distribution; Maintenance; Manufacturing; Markov analysis; Multivariate analysis; Multivariate quality control; Multivariate quality control Maintenance Partially observable Markov decision process Dynamic programming Finite horizon; Operational research and scientific management; Operational research. Management science; Partially observable Markov decision process; Process controls; Random variables; Studies; Finite horizon; Multivariate quality control; Maintenance; Dynamic programming; Partially observable Markov decision process; Markov process; Industrial product; Markov decision; Production quality; Sample size; Optimal policy; Control synthesis; Random vector; Multivariate analysis; Economic sciences; Optimization; Optimal design; Sampling; Random variable; Bayes estimation; Statistical process control; Multivariate process; Hotelling test; Control chart; Statistical analysis; Critical value; Process control; Operating cost; Cost control; Optimal control; Quality control

Most industrial products and processes are characterized by several, typically correlated measurable variables, which jointly describe the product or process quality. Various control charts such as Hotelling’s T 2, EWMA and CUSUM charts have been developed for multivariate quality control, where the...