Many new approaches and applications have been developed in the area of the economic design of process control charts. This article provides a survey and brief summary of the work on economic designs published during the period from 1981 through 1991...

Economic Design of Control Charts: A Literature Review for 1981–1991

This survey presents, in a comprehensive way, the substantial recent developments in the statistical and economic design of adaptive or dynamic charts that allow some of their parameters to change ...

A Survey of Recent Developments in the Design of Adaptive Control Charts

Focuses on the relationship between maintenance and quality. Then briefly reviews models relating production and quality on the one hand, and production and maintenance on the other. Using concepts from predictive maintenance and the measure of equipment effectiveness from total productive maintenance (TPM), identifies explicit links between maintenance and quality. Emphasizes the need to develop adequate models relating maintenance and quality. Presents two approaches for modelling the link between maintenance and quality. The first approach is based on the concept of imperfect maintenance and the second one uses the Taguchi approach to quality and maintenance.

Maintenance and quality: the missing link

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The economic production lot-sizing problem with imperfect production processes and imperfect maintenance

Effect of maintenance on the economic design of x̄-control chart

In this article, a moditied version of Duncan's (1956) model for the economic design of -control charts is extended to deal with situations involving the Weibull shock model. In the traditional Duncan approach to Markovian shock models, the length of sampling intervals is kept constant. When the process-failure mechanism follows a Weibull model or some other model having an increasing hazard rate. however, it may be desirable to have the frequency of sampling increased with the age of the system. This study proposes a cost model that uses variable sampling intervals as opposed to sampling intervals of fixed length. The computational results indicate that the proposed model under variable sampling intervals provides a lower cost than those obtained by using the existing model developed by Hu (1984) for a Welbull shock model having sampling intervals of fixed length.

M. A. Rahim

Papers

Economic design of x -control charts under Weibull shock models