On-Line Process Control using Attributes with Misclassification Errors: An Economical Design for Short-Run Production

Abstract

On-line process control consists of inspecting a single item for every m (integer and m ≥ 2) produced items. Based on the results of the inspection, it is decided whether the process is in-control (the fraction of conforming items is p 1 ; State I) or outof-control (the fraction of conforming items is p 2 < p 1 ; State II). If the inspected item is non conforming, it is determined that the process is out-of-control, and the production process is stopped for an adjustment; otherwise, production continues. As most designs of on-line process control assume a long-run production, this study can be viewed as an extension because it is concerned with short-run production and the decision regarding the process is subject to misclassification errors. The probabilistic model of the control system employs properties of an ergodic Markov chain to obtain the expression of the average cost of the system per unit produced, which can be minimised as a function of the sampling interval, m. The procedure is illustrated by a numerical example.

Economic modelling for statistical process control subject to a general quality deterioration

“…A manufacturer of integrated circuits runs into problems in the soldering process (Trindade, Ho, and da Costa Quinino 2007;Bessegato et al 2012). The manufacturer receives an order by a customer for a production lot of size N = 2300 integrated circuits; however, quality practitioners find that the problem of insufficient or excess lead projection in soldered connections results in the production of defective items.…”

Quality Management and Control for the Whole-Process Logistics Service of Multi-Variety Small-Batch Production and Manufacturing

“…With the growth of the economy, and improvement of living standards, the manufacturing industry changes dramatically to meet the increasingly diverse needs for products [1][2][3][4][5]. Under the influence of market orientation, the traditional large-scale batch production model gradually shifts towards the model of multi-variety small-batch production (MVSBP) [6][7][8][9][10][11][12][13][14][15]. Many manufacturing enterprises focus on the production quality control of products, and the duration of product research.…”