Mean Selection for Filling Processes under Weights and Measures Requirements

This paper considers the problem of optimally choosing the mean of a filling process for a number of model variations. Optimality is defined as that setting which maximizes expected profit. Issues considered include the costs of waste, over-fill, and “top-up”. An industrial example is discussed with both numerical as well as graphical solutions provided. The effects of change of the process variance on the optimal solution as well as on the expected profit are also discussed. Implications to “Weights and Measures” requirements of following this optimality path are provided with particular reference to loss in expected profit.

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