ABOUT ROUTING IN THE SHEET CUTTING

Authors

  • A. A. Petunin Ural Federal University
  • A. G. Chentsov Ural Federal University
  • P. A. Chentsov Ural Federal University

DOI:

https://doi.org/10.14529/mmp170303

Keywords:

routing problem, precedence conditions, engineering constraints

Abstract

The solution of the problem of tool routing in CNC sheet cutting machines is considered. It is assumed that the initial problem formulation is complicated by dierent restrictions. It is required to construct a solution of this routing problem that respects the constraints and minimizes the additive criterion, including the costs of (external) displacements and "internal" related to cutting parts on a closed contour works. Compliance of the constraints is supposed to be provided through a special assignment of cost functions, i.e. (in fact) due to the formation of penalties for the restriction violation. The procedure based on widely understood dynamic programming is the main way of problem solving in this paper. The program of problem solving on a multi-core PC is constructed. The presentation of this algorithm is the main goal of this paper.

Author Biographies

A. A. Petunin, Ural Federal University

doctor of science (physico-mathematical)

A. G. Chentsov, Ural Federal University

corresponding members of the Russian Academy of Sciences

P. A. Chentsov, Ural Federal University

candidate of science (physico-mathematical)

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Published

2017-09-22

Issue

Section

Mathematical Modelling