An SPC Approach to Compensating a Tool-Wear Process

Abstract

A fixed-interval compensator is proposed for a process where tool wear can be modeled over an interval of tool life by a regression model. The compensator consists of a batch mean adjustment plus the estimated wear since the last adjustment. The expected mean square about the target value is used as a measure of compensator efficiency and is derived for this compensator. This expression is used to derive an optimal batch size formula for process control. The robustness of the procedure to the assumption of constancy of wear rate over tool life, across tools, and in the presence of gauge error is studied and discussed.

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