General model of tool path problem for the CNC sheet cutting machines

Abstract

The formalization of the tool path problem for the CNC sheet metal/material cutting equipment is considered. General model of tool path problem for laser/plasma/gas/water-jet machines is offered. Model uses the term “the basic cutting segment” proposed by author. The existing classification of the tool path problem is expanded. In the paper also the discretization of offered general statement of optimization problem is described. Results of computing experiments for some instances are given. © 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.Russian Foundation for Basic Research, RFBR: № 17-08 -01385The work was supported by the Russian Foundation for Basic Research ( grant № 17-08 -01385) and by Act 211 Government of the Russian Federation, contract № 02.A03.21.0006