Optimization in Tool Engineering Using Geometric Programming

Abstract This paper explores the use of geometric programming to solve tool engineering problems. The primary objective is to relate the technical factors involved in the cutting process to the economics of a particular tooling operation, and from this relationship determine the optimum speed and feed resulting in minimum cost per machined piece. Solution techniques are presented for non-linear objective criteria, subject to both linear and non-linear constraints. Computational procedures are illustrated through the solution of two typical examples.