Use of Dynamic Programming Method to Design for Optimal Performance of Grinding Cycles

Abstract

The design of an optimal grinding cycle that provides execution of all requirements of a drawing in terms of precision and quality in the shortest possible time is a complicated scientific and technical task that could be solved with a dynamic programming method (DPM) that is considered to be a method of optimal control theory. This article discusses the main aspects of DPM application for the optimization of short grinding cycles. The application of this method is stipulated with the fact that there is no need to limit a tolerance zone and this method is not sensitive to properties of control model and restrictions. The result is an ability to apply restrictions of precision (accuracy) not only to diametrical errors (inaccuracy) but also to form the deviation of surfaces. The purpose of operations efficiency increase defines the criteria of objective function to provide the shortest possible time of treatment.