Skip to main content

Abstract

This paper investigates the customer order scheduling problem on unrelated parallel additive manufacturing machines. The discussed problem comprises the splitting of orders into jobs, the allocation of those jobs to builds and finally the sequencing of builds on 3D printers. A mixed-integer programming model is presented that integrates practical requirements, such as printing profiles and different materials, and minimises total weighted tardiness. Using the Gurobi solver computational results are then given for a comprehensive test bed. It is shown, that medium sized problems can be solved using the proposed model, and that the consideration of printing profiles has a relevant impact on the scheduling task in additive manufacturing.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Gupta, J.N., Ho, J.C., van der Veen, J.A.: Single machine hierarchical scheduling with customer orders and multiple job classes. Ann. Oper. Res. 70, 127–143 (1997). https://doi.org/10.1023/A:1018913902852

    Article  MathSciNet  MATH  Google Scholar 

  2. Kucukkoc, I.: MILP models to minimise makespan in additive manufacturing machine scheduling problems. Comput. Oper. Res. 105, 58–67 (2019). https://doi.org/10.1016/j.cor.2019.01.006

    Article  MathSciNet  MATH  Google Scholar 

  3. Li, Q., Kucukkoc, I., Zhang, D.Z.: Production planning in additive manufacturing and 3D printing. Comput. Oper. Res. 83, 157–172 (2017). https://doi.org/10.1016/j.cor.2017.01.013

    Article  MathSciNet  Google Scholar 

  4. Oh, Y., Witherell, P., Lu, Y., Sprock, T.: Nesting and scheduling problems for additive manufacturing: a taxonomy and review. Addit. Manuf. 36, 101492 (2020). https://doi.org/10.1016/j.addma.2020.101492

  5. Shi, Z., Wang, L., Liu, P., Shi, L.: Minimizing completion time for order scheduling: formulation and heuristic algorithm. IEEE Trans. Autom. Sci. Eng. 14(4), 1558–1569 (2017). https://doi.org/10.1109/TASE.2015.2456131

    Article  Google Scholar 

  6. Shi, Z., Huang, Z., Shi, L.: Customer order scheduling on batch processing machines with incompatible job families. Int. J. Prod. Res. 56(1–2), 795–808 (2018). https://doi.org/10.1080/00207543.2017.1401247

    Article  Google Scholar 

  7. Tavakkoli-Moghaddam, R., Shirazian, S., Vahedi-Nouri, B.: A bi-objective scheduling model for additive manufacturing with multiple materials and sequence-dependent setup time. In: Lalic, B., Majstorovic, V., Marjanovic, U., von Cieminski, G., Romero, D. (eds.) APMS 2020. IAICT, vol. 592, pp. 451–459. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-57997-5_52

    Chapter  Google Scholar 

  8. Zhang, C., Shi, Z., Huang, Z., Wu, Y., Shi, L.: Flow shop scheduling with a batch processor and limited buffer. Int. J. Prod. Res. 55(11), 3217–3233 (2017). https://doi.org/10.1080/00207543.2016.1268730

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Benedikt Zipfel .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 IFIP International Federation for Information Processing

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zipfel, B., Neufeld, J.S., Buscher, U. (2021). Customer Order Scheduling in an Additive Manufacturing Environment. In: Dolgui, A., Bernard, A., Lemoine, D., von Cieminski, G., Romero, D. (eds) Advances in Production Management Systems. Artificial Intelligence for Sustainable and Resilient Production Systems. APMS 2021. IFIP Advances in Information and Communication Technology, vol 633. Springer, Cham. https://doi.org/10.1007/978-3-030-85910-7_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85910-7_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85909-1

  • Online ISBN: 978-3-030-85910-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics