Skip to main content

Hybrid Differential Evolution Optimization for No-Wait Flow-Shop Scheduling with Sequence-Dependent Setup Times and Release Dates

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6838))

Abstract

In this paper, a hybrid algorithm based on differential evolution (DE), namely HDE, is proposed to minimize the total completion time criterion of the no-wait flow-shop scheduling problem (NFSSP) with sequence-dependent setup times (SDSTs) and release dates (RDs), which is a typical NP-hard combinatorial optimization problem with strong engineering background. Firstly, to make DE suitable for solving flow-shop scheduling problem, a largest-order-value (LOV) rule is used to convert the continuous values of individuals in DE to job permutations. Secondly, a speed-up evaluation method is developed according to the property of the NFSSP with SDSTs and RDs. Thirdly, after the DE-based exploration, a problem-dependent local search is developed to emphasize exploitation. Due to the reasonable balance between DE-based global search and problem-dependent local search as well as the utilization of the speed-up evaluation, the NFSSP with SDSTs and RDs can be solved effectively and efficiently. Simulation results and comparisons demonstrate the superiority of HDE in terms of searching quality, robustness, and efficiency.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey. Annals of Discrete Mathematics 5, 287–326 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  2. Allahverdi, A., Ng, C.T., Cheng, T.C.E., Kovalyov, M.Y.: A Survey of Scheduling Problems with Setup Times or Costs. European Journal of Operational Research 187(3), 985–1032 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Oguz, C., Salman, F.S., Yalçin, Z.B.: Order Acceptance and Scheduling Decisions in Make-to-order Systems. International Journal of Production Economics 125(1), 200–211 (2010)

    Article  Google Scholar 

  4. Urlings, T., Ruiz, R., Stützle, T.: Shifting Representation Search for Hybrid Flexible Flow-line Problems. European Journal of Operational Research 207(2), 1086–1095 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ruiz, R., Allahverdi, A.: Some Effective Heuristics for no-wait Flowshops with Setup Times to Minimize Total Completion Time. Annals of Operations Research 156(1), 143–171 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Storn, R., Price, K.: Differential Evolution–a Simple and Efficient Heuristic for Global Optimization over Continuous Spaces. Journal of Global Optimization 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  7. Tasgetiren, M.F., Liang, Y.C., Sevkli, M., Gencyilmaz, G.: Differential Evolution Algorithm for Permutation Flowshop Sequencing Problem with Makespan Criterion. In: Proceedings of 4th International Symposium on Intelligent Manufacturing Systems, Sakarya, Turkey, pp. 442–452 (2004)

    Google Scholar 

  8. Onwubolu, G., Davendra, D.: Scheduling Flow Shops using Differential Evolution Algorithm. European Journal of Operational Research 171(2), 674–692 (2006)

    Article  MATH  Google Scholar 

  9. Qian, B., Wang, L., Hu, R., Wang, W.L., Huang, D.X., Wang, X.: A Hybrid Differential Evolution for Permutation Flow-shop Scheduling. International Journal of Advanced Manufacturing Technology 38(7-8), 757–777 (2008)

    Article  Google Scholar 

  10. Pan, Q.K., Tasgetiren, M.F., Liang, Y.C.: A Discrete Differential Evolution Algorithm for the Permutation Flowshop Scheduling Problem. Computers & Industrial Engineering 55(4), 795–816 (2008)

    Article  Google Scholar 

  11. Wang, L., Pan, Q.K., Suganthan, P.N., Wang, W.H., Wang, Y.M.: A Novel Hybrid Discrete Differential Evolution Algorithm for Blocking Flow Shop Scheduling Problems. Computers & Operations Research 37(3), 509–520 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  12. Price, K., Storn, R.: Differential Evolution (DE) for Continuous Function Optimization (2011), http://www.icsi.berkeley.edu/%7Estorn/code.html

  13. Bean, J.C.: Genetic Algorithm and Random Keys for Sequencing and Optimization. ORSA Journal on Computing 6(2), 154–160 (1994)

    Article  MATH  Google Scholar 

  14. Qian, B., Wang, L., Hu, R., Huang, D.X., Wang, X.: A DE-based Approach to no-wait Flow-shop Scheduling. Computers & Industrial Engineering 57(3), 787–805 (2009)

    Article  Google Scholar 

  15. Ishibuchi, H., Misaki, S., Tanaka, H.: Modified Simulated Annealing Algorithms for the Flow Shop Sequencing Problem. European Journal of Operational Research 81(2), 388–398 (1995)

    Article  MATH  Google Scholar 

  16. Ruiz, R., Stützle, T.: An Iterated Greedy Heuristic for the Sequence Dependent Setup Times Flowshop Problem with Makespan and Weighted Tardiness Objectives. European Journal of Operational Research 187(3), 1143–1159 (2008)

    Article  MATH  Google Scholar 

  17. Osman, I.H., Potts, C.N.: Simulated Annealing for Permutation Flow-shop Scheduling. Omega-Int. J. Manage. S. 17(6), 551–557 (1989)

    Article  Google Scholar 

  18. Wang, L., Zheng, D.Z.: An effective hybrid heuristic for flow shop scheduling. International Journal of Advanced Manufacturing Technology 21(1), 38–44 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

De-Shuang Huang Yong Gan Vitoantonio Bevilacqua Juan Carlos Figueroa

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qian, B., Zhou, HB., Hu, R., Xiang, FH. (2011). Hybrid Differential Evolution Optimization for No-Wait Flow-Shop Scheduling with Sequence-Dependent Setup Times and Release Dates. In: Huang, DS., Gan, Y., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing. ICIC 2011. Lecture Notes in Computer Science, vol 6838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24728-6_81

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24728-6_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24727-9

  • Online ISBN: 978-3-642-24728-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics