Skip to main content

Best-Fit Heuristic Algorithm for Multi-stack Rectangular Packing Problem of NC Router Machine

  • Conference paper
  • First Online:
Proceedings of the 6th Asia Pacific Conference on Manufacturing Systems and 4th International Manufacturing Engineering Conference (iMEC-APCOMS 2022)

Abstract

The research is motivated by a nesting problem in a CNC router machine in a metalworking company, where efficient cutting patterns are desired in order to minimize metal sheets. In the routing process under study, the metal sheets vary in size, the material leftovers after cutting may be used again, and the machine can cut the sheets in stacks simultaneously. This paper reports the development of an efficient algorithm to solve problems with such combined characteristics. It is based on the Best Fit algorithm with a multi-start strategy. A numerical example is provided to demonstrate the algorithm. It is found that the algorithm can find a good solution with 10.06% difference from the optimum in a quick time despite the relatively simple procedure.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Andrade R, Birgin EG, Morabito R, dan Ronconi DP (2014) MIP models for two-dimensional non-guillotine cutting problems with usable leftovers. J Oper Res Soc 65(11):1649–1663

    Google Scholar 

  2. Aribowo W, dan Ali I (2021) An optimization model of variable size two-dimensional nesting with stacked sheets and usable leftovers for the CNC routing process. J Phys: Conf Ser 1858(1):012043

    Google Scholar 

  3. Chen M, Wu C, Tang X, Peng X, Zeng Z, dan Liu S (2019) An efficient deterministic heuristic algorithm for the rectangular packing problem. Comput Ind Eng 137:106097

    Google Scholar 

  4. Leung SC, dan Zhang D (2011) A fast layer-based heuristic for non-guillotine strip packing. Expert Syst with Appl 38(10):13032–13042

    Google Scholar 

  5. Liu Y, Chu C, dan Wang K (2011) A dynamic programming-based heuristic for the variable sized two-dimensional bin packing problem. Int J Prod Res 49(13):3815–3831

    Google Scholar 

  6. Resende MG, Martí R, dan Panos P (2017) Handbook of heuristics

    Google Scholar 

  7. Sumetthapiwat S, Intiyot B, dan Jeenanunta C (2020) A column generation on two-dimensional cutting stock problem with fixed-size usable leftover and multiple stock sizes. Int J Logist Syst Manag 35(2):273–288

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wisnu Aribowo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ali, I., Aribowo, W., Sukoyo (2023). Best-Fit Heuristic Algorithm for Multi-stack Rectangular Packing Problem of NC Router Machine. In: Rosyidi, C.N., Laksono, P.W., Jauhari, W.A., Hisjam, M. (eds) Proceedings of the 6th Asia Pacific Conference on Manufacturing Systems and 4th International Manufacturing Engineering Conference. iMEC-APCOMS 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-1245-2_47

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-1245-2_47

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-1244-5

  • Online ISBN: 978-981-99-1245-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics