Skip to main content

Bayesian Statistical Inference-Based Estimation of Distribution Algorithm for the Re-entrant Job-Shop Scheduling Problem with Sequence-Dependent Setup Times

  • Conference paper
Book cover Intelligent Computing Methodologies (ICIC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8589))

Included in the following conference series:

Abstract

In this paper, a bayesian statistical inference-based estimation of distribution algorithm (BEDA) is proposed for the re-entrant job-shop scheduling problem with sequence-dependent setup times (RJSSPST) to minimize the maximum completion time (i.e., makespan), which is a typical NP hard combinatorial problem with strong engineering background. Bayesian statistical inference (BSI) is utilized to extract sub-sequence information from high quality individuals of the current population and determine the parameters of BEDA’s probabilistic model (BEDA_PM). In the proposed BEDA, BEDA_PM is used to generate new population and guide the search to find promising sequences or regions in the solution space. Simulation experiments and comparisons demonstrate the effectiveness of the proposed BEDA.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Garey, M.R., Johnson, D.S., Sethi, R.: The Complexity of The Flowshop And Jobshop Scheduling. Computer Science Department 1(2), 117–129 (1976)

    MATH  MathSciNet  Google Scholar 

  2. Sun, J.U.: A Genetic Algorithm for A Reentrant Job-shop Scheduling Problem with Sequence-dependent Setup Times. Engineering Optimization 41(6), 505–520 (2009)

    Article  MathSciNet  Google Scholar 

  3. Karg, L.L., Thompson, G.L.: A Heuristic Approach to The Traveling Salesman. Management Science 10(2), 225–248 (1964)

    Article  Google Scholar 

  4. Adams, J., Balas, E., Zawack, D.: The Shifting Bottleneck Procedure for Job Shop Scheduling. Management Science 34(3), 391–401 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  5. Baluja, S.: Population-based Incremental Learning: A Method for Integrating Genetic Search Based Function Optimization And Competitive Learning. Technical Report CMU-CS-94-193. Carnegie Mellon University, Pittsburgh (1994)

    Google Scholar 

  6. Salhi, A., Rodriguez, J.A.V., Zhang, Q.F.: An Estimation of Distribution Algorithm with Guided Mutation for A Complex Flow Shop Scheduling Problem. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, London, UK, pp. 570–576 (2007)

    Google Scholar 

  7. Wang, S.Y., Wang, L., Zhou, G., Xu, Y.: An Estimation of Distribution Algorithm for The Flexible Job-shop Scheduling Problem. In: Huang, D.-S., Gan, Y., Gupta, P., Gromiha, M.M. (eds.) ICIC 2011. LNCS (LNAI), vol. 6839, pp. 9–16. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  8. Liu, H., Gao, L., Pan, Q.K.: A Hybrid Particle Swarm Optimization with Estimation of Distribution Algorithm for Solving Permutation Flowshop Scheduling Problem. Expert Systems with Applications 38(4), 4348–4360 (2011)

    Article  Google Scholar 

  9. Wang, L., Wang, S.Y., Xu, Y., Zhou, G., Liu, M.: A Bi-population Based Estimation of Distribution Algorithm for The Flexible Job-shop Scheduling Problem. Computers & Industrial Engineering 62(4), 917–926 (2012)

    Article  Google Scholar 

  10. Zhou, A., Gao, F., Zhang, G.: A Decomposition Based Estimation of Distribution Algorithm for Multiobjective Traveling Salesman Problems. Computers and Mathematics with Applications 66(10), 1857–1868 (2013)

    Article  MathSciNet  Google Scholar 

  11. Ruiz, R., Maroto, C., Alcaraz, J.: Two New Robust Genetic Algorithms for The Flowshop Scheduling Problem. Omega 34(5), 461–476 (2006)

    Article  Google Scholar 

  12. Huelsenbeck, J.P., Ronquist, F.: MrBayes: Bayesian Inference of Phylogenetic Trees. Bioinformatics 17(8), 754–755 (2001)

    Article  Google Scholar 

  13. Qian, B., Li, Z.H., Hu, R., Zhang, C.S.: A Hybrid Differential Evolution Algorithm for The Multi-objective Reentrant Job-shop Scheduling Problem. In: The 10th IEEE International Conference on Control & Automation, pp. 485–489 (2013)

    Google Scholar 

  14. Zhang, R., Wu, C.: A Hybrid Local Search Algorithm for Scheduling Real-world Job Shops with Batch-wise Pending Due Dates. Engineering Applications of Artificial Intelligence 25(2), 209–221 (2012)

    Article  Google Scholar 

  15. Schiavinotto, T., Stützle, T.: A Review of Metrics on Permutations for Search Landscape Analysis. Computers & Operations Research 34(10), 3143–3153 (2007)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Chen, SF., Qian, B., Liu, B., Hu, R., Zhang, CS. (2014). Bayesian Statistical Inference-Based Estimation of Distribution Algorithm for the Re-entrant Job-Shop Scheduling Problem with Sequence-Dependent Setup Times. In: Huang, DS., Jo, KH., Wang, L. (eds) Intelligent Computing Methodologies. ICIC 2014. Lecture Notes in Computer Science(), vol 8589. Springer, Cham. https://doi.org/10.1007/978-3-319-09339-0_69

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09339-0_69

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09338-3

  • Online ISBN: 978-3-319-09339-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics