Skip to main content

Synthesis of Scheduling Heuristics by Composition and Recombination

  • Conference paper
  • First Online:
Optimization and Learning (OLA 2021)

Abstract

In many machine scheduling studies, individual algorithms for each problem have been developed to cope with the specifics of the problem. On the other hand, the same underlying fundamentals (e.g. Shortest Processing Time, Local Search) are often used in the algorithms and only slightly modified for the different problems. This paper deals with the synthesis of machine scheduling algorithms from components of a repository. Especially flow shop and job shop problems with makespan objective are considered to solve with Shortes/Longest Processing Time, NEH, Giffler & Thompson algorithms. For these components, the paper includes an exemplary implementation of an agile scheduling system that uses the Combinatory Logic Synthesizer to recombine components of scheduling algorithms to solve a given scheduling problem. Special attention is given to the composition heuristics and the process of recombination to executable programs. The advantages of this componentization are discussed and illustrated with examples. It will be shown that algorithms can be generalized to deal with scheduling problems of different machine environments and production constraints.

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 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
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

References

  1. Bessai, J., Dudenhefner, A., Düdder, B., Martens, M., Rehof, J.: Combinatory logic synthesizer. In: Margaria, T., Steffen, B. (eds.) ISoLA 2014. LNCS, vol. 8802, pp. 26–40. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-662-45234-9_3 ISBN 978-3-662-45233-2

    Chapter  Google Scholar 

  2. Graham, R.L., et al.: Optimization and approximation in deterministic sequencing and scheduling: a survey. In: Hammer, P.L., Johnson, E.L., Korte, B.H. (ed.) Annals of Discrete Mathematics: Proceedings of the Advanced Research Institute on Discrete Optimization and Systems Applications of the Systems Science Panel of NATO and of the Discrete Optimization Symposium co-sponsored by IBM Canada and SIAM Banff, Aha and Vancouver, vol. 5, pp. 287–326. Elsevier (1979). https://doi.org/10.1016/S0167-5060(08)70356-X

  3. Pinedo, M.: Scheduling: Theory, Algorithms, and Systems, 5th edn. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-26580-3. ISBN 9783319265780

  4. Ruiz, R., Vázquez-Rodríguez, J.A.: The hybrid ow shop scheduling problem. Eur. J. Oper. Res. 205(1), 1–18 (2010). https://doi.org/10.1016/j.ejor.2009.09.024. ISSN 0377-2217

    Article  MATH  Google Scholar 

  5. Ruiz, R., Şerifoğlu, F.S., Urlings, T.: Modeling realistic hybrid flexible flowshop scheduling problems. Comput. Oper. Res. 35(4), 1151–1175 (2008). https://doi.org/10.1016/j.cor.2006.07.014. ISSN 03050548

    Article  MATH  Google Scholar 

  6. Komaki, G.M., Sheikh, S., Malakooti, B.: Flow shop scheduling problems with assembly operations: a review and new trends. Int. J. Prod. Res. 57(10), 2926–2955 (2019). https://doi.org/10.1080/00207543.2018.1550269. ISSN 0020-7543

    Article  Google Scholar 

  7. Framinan, J.M., Gupta, J.N.D., Leisten, R.: A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. J. Oper. Res. Soc. 55(12), 1243–1255 (2004). https://doi.org/10.1057/palgrave.jors.2601784

    Article  MATH  Google Scholar 

  8. Zhang, J., et al.: Review of job shop scheduling research and its new perspectives under Industry 4.0. J. Intell. Manuf. 30(4), 1809–1830 (2019). https://doi.org/10.1007/S10845-017-1350-2. ISSN 0956-5515

    Article  Google Scholar 

  9. Ruiz, R., Maroto, C.: A comprehensive review and evaluation of permutation flowshop heuristics to minimize flowtime. Eur. J. Oper. Res. 40, 479–494 (2005). https://doi.org/10.1016/j.ejor.2004.04.017. ISSN 0956-5515

    Article  MATH  Google Scholar 

  10. Arisha, A., Young, P., El Baradie, M.: Flow shop scheduling problem: a computational study. In: Sixth International Conference on Production Engineering and Design for Development (PEDD6). Dublin Institute of Technology, Cairo, Egypt, 1 Jan 2002, pp. 543–557 (2002)

    Google Scholar 

  11. Nawaz, M., Enscore, E.E., Ham, I.: A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem. Omega 11(1), 91–95 (1983). https://doi.org/10.1016/0305-0483(83)90088-9. http://www.sciencedirect.com/science/article/pii/0305048383900889. ISSN 03050483

  12. Giffer, B., Thompson, G.L.: Algorithms for solving production scheduling problems. Oper. Res. 8(4) 487–503 (1960). https://doi.org/10.1287/opre.8.4.487. http://search.ebscohost.com/login.aspx?direct=true&db=bsu&AN=7687426&site=ehost-live

  13. Jaehn, F., Pesch, E.: Ablaufplanung: Einführung in Scheduling, 1st edn. Springer, Berlin (2014). https://doi.org/10.1007/978-3-642-54439-2. ISBN 978-3-642-54439-2

  14. Bessai, J., Dudenhefner, A., Düdder, B., Martens, M., Rehof, J.: Combinatory process synthesis. In: Margaria, T., Steffen, B. (eds.) ISoLA 2016. LNCS, vol. 9952, pp. 266–281. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-47166-2_19

    Chapter  Google Scholar 

  15. Winkels, J.: Automatisierte Komposition und Konfiguration von Work-flows zur Planung mittels kombinatorischer Logik. Technische Universität Dortmund. https://doi.org/10.17877/DE290R-20469

  16. Winkels, J., Graefenstein, J., Schäfer, T., Scholz, D., Rehof, J., Henke, M.: Automatic composition of rough solution possibilities in the target planning of factory planning projects by means of combinatory logic. In: Margaria, T., Steffen, B. (eds.) ISoLA 2018. LNCS, vol. 11247, pp. 487–503. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03427-6_36 ISBN 9783030034283

    Chapter  Google Scholar 

  17. Lenz, L.T., et al.: Smart factory adaptation planning by means of BIM in combination of constraint solving techniques. In: Proceedings of the International Council for Research and Innovation in Building and Construction (CIB), World Building Congress 2019 – Constructing Smart Cities (2019)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christin Schumacher .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mäckel, D., Winkels, J., Schumacher, C. (2021). Synthesis of Scheduling Heuristics by Composition and Recombination. In: Dorronsoro, B., Amodeo, L., Pavone, M., Ruiz, P. (eds) Optimization and Learning. OLA 2021. Communications in Computer and Information Science, vol 1443. Springer, Cham. https://doi.org/10.1007/978-3-030-85672-4_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85672-4_21

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85671-7

  • Online ISBN: 978-3-030-85672-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics