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Monitoring process for attributes with quality deterioration and diagnosis errors

Anderson Laécio Galindo Trindade, Linda Lee Ho and Roberto da Costa Quinino

Applied Stochastic Models in Business and Industry, 2007, vol. 23, issue 4, 339-358

Abstract: The aim of this paper is to present an online economical quality‐control procedure for attributes in a process subject to quality deterioration after random shift and misclassification errors during inspections. The process starts in control (State I) and, in a random time, it shifts to out of control (State II). Once at State II, the non‐conforming fraction increases according to a non‐decreasing function ψ(z), where z is the number of items produced after a shift. The monitoring procedure consists of inspecting a single item at every m produced items, which is examined r times independently to decide its condition. Once an inspected item is declared non‐conforming, the process is stopped and adjusted. A direct search technique is used to find the optimum parameters which minimize the expected cost function. The proposed model is illustrated by a numerical example. Copyright © 2007 John Wiley & Sons, Ltd.

Date: 2007
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