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An improvement heuristic framework for the laser cutting tool path problem

Author

Listed:
  • Reginald Dewil
  • Pieter Vansteenwegen
  • Dirk Cattrysse
  • Manuel Laguna
  • Thomas Vossen

Abstract

This paper deals with generating cutting paths for laser cutting machines by representing a tool path in a novel way. Using the new representation, the tool path problem can be viewed as finding a partitioning of contours which minimises the sum of the costs of a rooted directed minimum spanning tree to connect the partitions and the costs of a generalised travelling salesman problem (GTSP) solutions within each partition. Using Edmond–Liu’s algorithm to solve the arborescence problem, an improved Lin–Kernighan heuristic to solve the GTSP and a heuristic-repartitioning approach, tool paths can be generated that are 4.2% faster than those generated by an existing tool path construction heuristic.

Suggested Citation

  • Reginald Dewil & Pieter Vansteenwegen & Dirk Cattrysse & Manuel Laguna & Thomas Vossen, 2015. "An improvement heuristic framework for the laser cutting tool path problem," International Journal of Production Research, Taylor & Francis Journals, vol. 53(6), pages 1761-1776, March.
  • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:6:p:1761-1776
    DOI: 10.1080/00207543.2014.959268
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    Cited by:

    1. Tatiana Makarovskikh & Anatoly Panyukov, 2022. "Special Type Routing Problems in Plane Graphs," Mathematics, MDPI, vol. 10(5), pages 1-22, March.

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