Simultaneous determination of the optimal process mean and cutting speed for a manufacturing process

The relationship between machining speed and the process mean for a manufacturing process has received little attention. This paper presents an analytical model and its solution procedure to simultaneously determine the optimal machining speed and process mean when the objective is to minimize the total cost per part. The total cost of the model includes replacement (resetting), production and quality costs. A global optimization algorithm is used to solve the proposed unconstrained model. Numerical examples to demonstrate the effectiveness of the proposed model are given and an extensive sensitivity analysis of the proposed model parameters is also provided. It has been concluded that machining speed and process mean are highly related. Therefore, the machining conditions should be taken into account when solving process mean targeting problems.