Economic design of X-bar control charts for use in monitoring continuous flow processes

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Abstract
This paper develops the economic design of an A'-bar chart for monitoring continuous flow processes such as those encountered in refining, chemical processing and mining. The economic model permits one to optimally select the subgroup size, the sampling interval, and the control limit width based upon an economic criterion. This economic model is then applied to a realistic set of costs from the chemical industry. A sensitivity analysis is performed to illustrate the effects of incorrectly estimating the cost components of the model.