Monitoring process control chart with finite mixture probability distribution: An application in manufacture industry. Issue 2 (5th February 2018)

• Record Type: Journal Article
• Authors: Vicentin, Damaris Serigatto; Silva, Brena Bezerra; Piccirillo, Isabela; Bueno, Fernanda Campos; Oprime, Pedro Carlos
• Is Part Of: International journal of quality & reliability management. Volume 35:Issue 2(2018)
• Page Start: 335
• Page End: 353
• Publication Date: 2018-02-05
• Subjects: Quality management -- Control chart -- Alimentary sector -- Mixture distributions -- Multiple-stream processes; Quality control -- Periodicals; 658.562
• DOI: 10.1108/IJQRM-11-2016-0196
• Languages: English
• ISSNs: 0265-671X

Abstract

Abstract : Purpose: The purpose of this paper is to develop a monitoring multiple-stream processes control chart with a finite mixture of probability distributions in the manufacture industry. Design/methodology/approach: Data were collected during production of a wheat-based dough in a food industry and the control charts were developed with these steps: to collect the master sample from different production batches; to verify, by graphical methods, the quantity and the characterization of the number of mixing probability distributions in the production batch; to adjust the theoretical model of probability distribution of each subpopulation in the production batch; to make a statistical model considering the mixture distribution of probability and assuming that the statistical parameters are unknown; to determine control limits; and to compare the mixture chart with traditional control chart. Findings: A graph was developed for monitoring a multi-stream process composed by some parameters considered in its calculation with similar efficiency to the traditional control chart. Originality/value: The control chart can be an efficient tool for customers that receive product batches continuously from a supplier and need to monitor statistically the critical quality parameters.