Skip to main content

Multidimensional Estimation of Distribution Algorithm for Distributed No-Wait Flow-Shop Scheduling Problem with Sequence-Independent Setup Times and Release Dates

  • Conference paper
  • First Online:
Book cover Intelligent Computing Theories and Application (ICIC 2021)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12836))

Included in the following conference series:

  • 1587 Accesses

Abstract

This paper proposes a three-dimensional matrix Estimation of Distribution Algorithm (TDEDA) for distributed no-wait flow-shop scheduling problem (NFSSP) with sequence-independent setup times (SISTs) and release dates (RDs) to minimize the total completion time, which is a typical NP-hard combinatorial optimization problem with strong engineering background. First, a population is initialized in a hybrid way by modified NEH heuristic algorithm and the random method. Secondly, probabilistic model is developed to learn knowledge by accumulating the information of the blocks and the order of jobs from the elite individuals. Then, four search methods are developed to optimize the quality of solutions. Finally, computational results and comparisons demonstrate TDEDA obviously outperforms other considered optimization algorithms for addressing DNWFSP_SISTs_RTs.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Allahverdi, A.: A survey of scheduling problems with no-wait in process. Eur. J. Oper. Res. 255, 665–686 (2016)

    Article  MathSciNet  Google Scholar 

  2. Qian, B., Wang, L., Huang, D.X., Wang, W.L., Wang, X.: An effective hybrid DE-based algorithm for multi-objective flow shop scheduling with limited buffers. Comput. Oper. Res. 36(1), 209–233 (2009)

    Article  MathSciNet  Google Scholar 

  3. Kahn, K.B., Castellion, G., Griffin, A.: The PDMA Handbook of New Product Development, 2 ed, pp. 65–79. John Wiley & Sons, Hoboken (2005)

    Google Scholar 

  4. Wang, L., Shen, W.: Process planning and scheduling for distributed manufacturing. Springer 47(4), 1151–1152 (2007)

    Google Scholar 

  5. Naderi, B., Ruiz, R.: The distributed permutation flow shop scheduling problem. Comput. Oper. Res. 37(4), 754–768 (2010)

    Article  MathSciNet  Google Scholar 

  6. Gao, J., Chen, R.: An NEH-based heuristic algorithm for distributed permutation flow shop scheduling problems. Sci. Res. Essays 6(14), 3094–3100 (2011)

    Google Scholar 

  7. Gao, J., Chen, R., Deng, W.: An efficient tabu search algorithm for the distributed permutation flow-shop scheduling problem. Int. J. Prod. Res. 51, 1–11 (2013)

    Article  Google Scholar 

  8. Wang, S.Y., Wang, L., Min, L.: An effective estimation of distribution algorithm for solving the distributed permutation flow-shop scheduling problem. Int. J. Prod. Econ. 145, 387–396 (2013)

    Article  Google Scholar 

  9. Lin, S.W., Ying, K.C.: Minimizing makespan for solving the distributed no-wait flow shop scheduling problem. Comput. Ind. Eng. 99, 202–209 (2016)

    Article  Google Scholar 

  10. Komaki, M., Malakooti, B.: General variable neighborhood search algorithm to minimize makespan of the distributed no-wait flow shop scheduling problem. Prod. Eng. Res. Devel. 11(3), 315–329 (2017). https://doi.org/10.1007/s11740-017-0716-9

    Article  Google Scholar 

  11. Mühlenbein, H., Paaß, G.: From recombination of genes to the estimation of distributions I. Binary parameters. In: Voigt, Hans-Michael., Ebeling, Werner, Rechenberg, Ingo, Schwefel, Hans-Paul. (eds.) PPSN 1996. LNCS, vol. 1141, pp. 178–187. Springer, Heidelberg (1996). https://doi.org/10.1007/3-540-61723-X_982

    Chapter  Google Scholar 

  12. Jarboui, B., Eddaly, M., Siarry, P.: An estimation of distribution algorithm for minimizing the total flowtime in permutation flow shop scheduling problems. Comput. Oper. Res. 36(9), 2638–2646 (2009)

    Article  MathSciNet  Google Scholar 

  13. Pan, Q.K., Ruiz, R.: An estimation of distribution algorithm for lot-streaming flow shop problems with setup times. Omega 40(2), 166–180 (2012)

    Article  Google Scholar 

  14. Xu, Y., Wang, L., Wang, S.: An effective hybrid immune algorithm for solving the distributed permutation flow-shop scheduling problem. Eng. Optim. 46(9), 1269–1283 (2014)

    Article  MathSciNet  Google Scholar 

  15. Wang, S.Y., Wang, L., Liu, M.: An effective estimation of distribution algorithm for solving the distributed permutation flow-shop scheduling problem. Int. J. Prod. Econ. 145(1), 387–396 (2013)

    Article  Google Scholar 

  16. Ruiz, R., Stützle, T.: An Iterated Greedy heuristic for the sequence dependent setup times flow shop problem with makespan and weighted tardiness objectives. Eur. J. Oper. Res. 187(3), 1143–1159 (2008)

    Article  Google Scholar 

Download references

Acknowledgements

This research is partially supported by the National Science Foundation of China (61963022) and National Science Foundation of China (51665025).

Author information

Authors and Affiliations

Authors

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

Zhang, S., Hu, R., Qian, B., Zhang, ZQ., Wang, L. (2021). Multidimensional Estimation of Distribution Algorithm for Distributed No-Wait Flow-Shop Scheduling Problem with Sequence-Independent Setup Times and Release Dates. In: Huang, DS., Jo, KH., Li, J., Gribova, V., Bevilacqua, V. (eds) Intelligent Computing Theories and Application. ICIC 2021. Lecture Notes in Computer Science(), vol 12836. Springer, Cham. https://doi.org/10.1007/978-3-030-84522-3_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-84522-3_54

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-84521-6

  • Online ISBN: 978-3-030-84522-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics