## Abstract In this paper we describe an approach for establishing control limits and sampling times which derives from economic performance criteria and a model for random shifts. The total cost related to both production and control is calculated, based on cost estimates for false alarms, for not
Charting techniques for monitoring a random shock process
β Scribed by T. C. Chang; F. F. Gan
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 96 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0748-8017
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β¦ Synopsis
A modified geometric model is proposed for fitting data generated from a process where most of the samples are conforming and occasional samples are non-conforming. These near-zero-defect processes are classified as processes subjected to random shocks. A graphical comparison of the goodness of fit of industrial process data using modified geometric and modified Poisson models is performed. The geometric model is found to provide a better fit than the Poisson model. Based on the modified geometric model, a charting scheme consisting of two charts is developed to monitor a process subjected to random shocks. A cumulative count of conforming chart is used to monitor the frequency of random shocks and a geometric chart is used to monitor the count of non-conformities. The geometric chart performs better than the Poisson chart in terms of false alarm rate. The performance of the scheme is also evaluated.
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