Application of mathematical programming to metal cutting

In this paper, a general problem involving the single-pass, single-point turning operation is introduced. Different mathematical models and solution approaches for solving various single objective problems are described. The mathematical properties of the minimization of cost and maximization of production rate solutions are discussed in detail. The solution approaches used are differential calculus, linear programming, and geometric programming. Finally, a multiple criteria machining problem is formulated and solved using goal programming techniques.