Computationally efficient Bayesian sequential function monitoring. Issue 1 (30th December 2021)

• Record Type: Journal Article
• Authors: Shamp, Wright; Varbanov, Roumen; Chicken, Eric; Linero, Antonio; Yang, Yun
• Is Part Of: Journal of quality technology. Volume 54:Issue 1(2022)
• Page Start: 1
• Page End: 19
• Publication Date: 2021-12-30
• Subjects: Bayesian -- Phase II -- profile monitoring -- statistical process control -- wavelets; Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2020.1801366
• Languages: English
• ISSNs: 0022-4065

Abstract

Abstract: In functional sequential process monitoring, a process is characterized by sequences of observations called profiles which are monitored over time for stability. The goal is to halt a process when the process generating these observations deviates from a specified in control standard. We propose a Bayesian sequential process control (SPC) methodology which uses wavelets to monitor the functional responses and detect out of control profiles. Our contribution is to propose a solution to the growing computational cost by constructing an efficient and accurate approximation to the posterior distribution of the wavelet coefficients, without recourse to Markov chain Monte Carlo.