Skip to main content

A Hybrid Algorithm for Multi-objective Permutation Flow Shop Scheduling Problem with Setup Times

  • Conference paper
  • First Online:
Advances in Swarm Intelligence (ICSI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12690))

Included in the following conference series:

  • 1200 Accesses

Abstract

This paper studies the multi-objective permutation flow shop scheduling problem (PFSP) with setup times. Firstly, the mathematical model of multi-objective PFSP with setup time is established, then based on the theory of Pareto, Genetic algorithm and Variable Neighborhood Search, a new hybrid algorithm is proposed, named as Multiple Objective Hybrid Genetic algorithm (MOHGA). Finally, a set of benchmark instances with different scales are used to evaluate the performance of MOHGA. Experimental results show that the MOHGA obtains some solutions better than those previously reported in the literature, which reveals that the proposed MOHGA is an effective approach for the optimization of multi-objective PFSP with setup time.

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 EPUB and 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

References

  1. Li, Y., Wang, C., Gao, L., Song, Y., Li, X.: An improved simulated annealing algorithm based on residual network for permutation flow shop scheduling. Complex Intell. Syst., 1–11 (2020). https://doi.org/10.1007/s40747-020-00205-9

  2. Cheng, E., Gupta, J., Wang, G.: A review of flow shop scheduling research with setup times. Prod. Oper. Manag. 9(3), 262–282 (2000)

    Article  Google Scholar 

  3. Gui, L., Gao, L., Li, X.: Anomalies in special permutation flow shop scheduling problems. Chin. J. Mech. Eng. 33(1), 1–7 (2020). https://doi.org/10.1186/s10033-020-00462-2

    Article  Google Scholar 

  4. Lee, J., Yu, J., Lee, D.: A tabu search algorithm for unrelated parallel machine scheduling with sequence-and machine-dependent setups: minimizing total tardiness. Int. J. Adv. Manuf. Technol. 69, 2081–2089 (2013)

    Article  Google Scholar 

  5. Yenisey, M., Yagmahan, B.: Multi-objective permutation flow shop scheduling problem: literature review, classification and current trends. Omega 45, 119–135 (2014)

    Article  Google Scholar 

  6. Wang, G., Gao, L., Li, X., Li, P., Tasgetiren, M.: Energy-efficient distributed permutation flow shop scheduling problem using a multi-objective whale swarm algorithm. Swarm Evol. Comput. 57, 100716 (2020)

    Article  Google Scholar 

  7. Deb, S., Tian, Z., Fong, S., Tang, R., Wong, R., Dey, N.: Solving permutation flow-shop scheduling problem by rhinoceros search algorithm. Soft. Comput. 22(18), 6025–6034 (2018). https://doi.org/10.1007/s00500-018-3075-3

    Article  Google Scholar 

  8. Xu, G., Luo, K., Jing, G., Yu, X., Ruan, X., Song, J.: On convergence analysis of multi-objective particle swarm optimization algorithm. Eur. J. Oper. Res. 286, 32–38 (2020)

    Article  MathSciNet  Google Scholar 

  9. Yagmahan, B., Yenisey, M.: Ant colony optimization for multi-objective flow shop scheduling problem. Comput. Ind. Eng. 54, 411–420 (2008)

    Article  Google Scholar 

  10. Frosolini, M., Braglia, M., Zammori, F.: A modified harmony search algorithm for the multi-objective flowshop scheduling problem with due dates. Int. J. Prod. Res. 49(20), 5957–5985 (2011)

    Article  Google Scholar 

  11. Murata, T., Ishibuchi, H., Tanaka, H.: Multi-objective genetic algorithm and its applications to flow shop scheduling. Comput. Ind. Eng. 4(30), 957–968 (1996)

    Article  Google Scholar 

  12. Michele, C., Gerardo, M., Ruben, R.: Multi-objective sequence dependent setup times permutation flowshop: a new algorithm and a comprehensive study. Eur. J. Oper. Res. 227(2), 301–313 (2013)

    Article  MathSciNet  Google Scholar 

  13. Pierre, H., Nenad, M.: Variable neighbourhood search: methods and applications. Ann. Oper. Res. 175, 367–407 (2010)

    Article  MathSciNet  Google Scholar 

  14. Nawaz, M., Enscore, E., Ham, I.: A heuristic algorithm for the m-machine, n-job flow shop sequencing problem. Omega 11, 91–95 (1983)

    Article  Google Scholar 

  15. Deb, K., Samir, A., Amrit, P., Meyarivan, T.: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II KanGAL Report 200001. Indian Institute of Technology, Kanpur, India (2000)

    Google Scholar 

  16. Vallada, E., Ruiz, R., Maroto, C.: Synthetic and real benchmarks for complex flow-shop problems. Technical Report, Universidad Polytechnic de Valencia, Valencia, Espana, Grupo de Investigation Operativa GIO (2003)

    Google Scholar 

  17. Taillard, E.: Benchmarks for basic scheduling. Eur. J. Oper. Res. 64(2), 278–285 (1993)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgment

This research work is supported by the National Key R&D Program of China under Grant No. 2018AAA0101700, and the Program for HUST Academic Frontier Youth Team under Grant No. 2017QYTD04.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinyu Li .

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

Wang, C., Wang, S., Li, X. (2021). A Hybrid Algorithm for Multi-objective Permutation Flow Shop Scheduling Problem with Setup Times. In: Tan, Y., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2021. Lecture Notes in Computer Science(), vol 12690. Springer, Cham. https://doi.org/10.1007/978-3-030-78811-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-78811-7_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-78810-0

  • Online ISBN: 978-3-030-78811-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics