Skip to main content

Cyclic Two Machine Flow Shop with Disjoint Sequence-Dependent Setups

  • Chapter
  • First Online:

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 241))

Abstract

The chapter considers the problem of cyclical jobs scheduling on two machines with resource constraints often encountered in practice, and concerning a number of teams that can perform setups of machines between jobs performed. We are considering a fundamental and most restrictive case with only one setup team. This limitation significantly impedes the considered issue because the solution is represented here not only by the order of performing jobs, but also by the route of the setup team, i.e. the order in which the team makes setups of machines.

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   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
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Notes

  1. 1.

    Mathematical Programming Solver, http://www.gurobi.com/.

  2. 2.

    A Mathematical Programming Language, https://ampl.com/.

  3. 3.

    Calculations have been carried out using resources provided by Wroclaw Centre for Networking and Supercomputing (http://wcss.pl), grant No. 096.

References

  1. Bożejko, W.: Solving the flow shop problem by parallel programming. J. Parallel Distrib. Comput. 69(5), 470–481 (2009)

    Article  Google Scholar 

  2. Bożejko, W.: Parallel algorithms of discrete optimization in manufacturing. Academic Publishing House EXIT (2018)

    Google Scholar 

  3. Bożejko, W., Uchroński, M., Wodecki, M.: Block approach to the cyclic flow shop scheduling. Comput. Ind. Eng. 81, 158–166 (2015)

    Article  Google Scholar 

  4. Bożejko, W., Uchroński, M., Wodecki, M.: Parallel metaheuristics for the cyclic flow shop scheduling problem. Comput. Ind. Eng. 95, 156–163 (2016)

    Article  Google Scholar 

  5. Corwin, B.D., Esogbue, A.O.: Two machine flow shop scheduling problems with sequence dependent setup times: a dynamic programming approach. Nav. Res. Logist. Q. 21(3), 515–524 (1974)

    Article  MathSciNet  Google Scholar 

  6. Graham, R.L., Knuth, D.E., Patashnik, O.: Concrete Mathematics: A Foundation for Computer Science. Addison-Wesley, Reading (1989)

    Article  Google Scholar 

  7. Gupta, J.N.: A search algorithm for the generalized flowshop scheduling problem. Comput. Oper. Res. 2(2), 83–90 (1975)

    Article  Google Scholar 

  8. Gupta, J.N., Darrow, W.P.: The two-machine sequence dependent flowshop scheduling problem. Eur. J. Oper. Res. 24(3), 439–446 (1986)

    Article  MathSciNet  Google Scholar 

  9. Held, M., Karp, R.M.: A dynamic programming approach to sequencing problems. In: Proceedings of the 1961 16th ACM National Meeting, ACM ’61, pp. 71.201–71.204. ACM, New York (1961)

    Google Scholar 

  10. Ruiz, R., Maroto, C.: A comprehensive review and evaluation of permutation flowshop heuristics. Eur. J. Oper. Res. 165(2), 479–494 (2005)

    Article  Google Scholar 

  11. Ruiz, R., Stützle, T.: An iterated greedy heuristic for the sequence dependent setup times flowshop problem with makespan and weighted tardiness objectives. Eur. J. Oper. Res. 187(3), 1143–1159 (2008)

    Article  Google Scholar 

  12. Taillard, E.: Some efficient heuristic methods for the flow shop sequencing problem. Eur. J. Oper. Res. 47(1), 65–74 (1990)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wojciech Bożejko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Bożejko, W., Smutnicki, C., Uchroński, M., Wodecki, M. (2020). Cyclic Two Machine Flow Shop with Disjoint Sequence-Dependent Setups. In: Bożejko, W., Bocewicz, G. (eds) Modelling and Performance Analysis of Cyclic Systems. Studies in Systems, Decision and Control, vol 241. Springer, Cham. https://doi.org/10.1007/978-3-030-27652-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-27652-2_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27651-5

  • Online ISBN: 978-3-030-27652-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics