Abstract
This paper is concerned with a filling problem. The company has received complaints from a valuable customer that the net weight is below the lower specification limit (LSL). Data are collected to estimate the extent of variability. The observed total variation is apportioned into two parts, viz., variation due to the filling process and variation due to the measurement process. Thus, the variation due to the filling process is estimated. The problem is formulated as a profit maximization problem where the barrels meeting the LSL generate a specified profit; whereas, those below the LSL generate lesser profit, as a rework has to be done (in filling them to the desired LSL). The optimum setting is thus determined.
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