A Probabilistic Approach to the Determination of the Optimum Cutting Conditions

An analytical method applying a chance-constrained programming concept is proposed to determine the optimum cutting conditions considering the probabilistic nature of the objective function and constraints. The proposed analytical method is illustrated through an application to an example. It is shown that the optimum cutting conditions are significantly affected by the probabilistic nature of coefficients in the constraints. The effect of the uncertainty of the predicted tool life in the production cost function on the optimum cutting conditions is also considered. The study further investigates the effects of the cost-time parameter and allowable maximum force on the optimum conditions and the resulting production cost.