Skip to main content

Metaheuristics for Late Work Minimization in Two-Machine Flow Shop with Common Due Date

  • Conference paper
KI 2005: Advances in Artificial Intelligence (KI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3698))

Included in the following conference series:

Abstract

In this paper, metaheuristic approaches for the weighted late work minimization in the two-machine flow shop problem with a common due date (F2 | d j =d | Y w ) are presented. The late work performance measure estimates the quality of a solution with regard to the duration of the late parts of jobs not taking into account the quantity of the delay for the fully late activities. Since, the problem mentioned is known to be NP-hard, three trajectory based methods, namely simulated annealing, tabu search and variable neighborhood search were designed and compared to an exact approach and a list scheduling algorithm.

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. Barr, R.S., Golden, B.L., Kelly, J.P., Resende, M.G.C., Stewart Jr., W.R.: Designing and Reporting on Computational Experiments with Heuristic Methods. Journal of Heuristics 1, 9–32 (1995)

    Article  MATH  Google Scholar 

  2. Blazewicz, J.: Scheduling Preemptible Tasks on Parallel Processors with Information Loss. Recherche Technique et Science Informatiques 3/6, 415–420 (1984)

    MathSciNet  Google Scholar 

  3. Blazewicz, J., Ecker, K., Pesch, E., Schmidt, G., Weglarz, J.: Scheduling Computer and Manufacturing Processes, 2nd edn. Springer, Berlin (2001)

    MATH  Google Scholar 

  4. Blazewicz, J., Finke, G.: Minimizing Mean Weighted Execution Time Loss on Identical and Uniform Processors. Information Processing Letters 24, 259–263 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  5. Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: Revenue Management in a Job-shop: a Dynamic Programming Approach. Preprint Nr. 40/03. Otto-von-Guericke-University, Magdeburg (2003)

    Google Scholar 

  6. Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: Open Shop Scheduling Problems with Late Work Criteria. Discrete Applied Mathematics 134, 1–24 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: The Two-Machine Flow-Shop Problem with Weighted Late Work Criterion and Common Due Date. European Journal of Operational Research 165/2, 408–415 (2005)

    MathSciNet  Google Scholar 

  8. Błażewicz, J., Pesch, E., Sterna, M., Werner, F.: Flow Shop Scheduling with Late Work Criterion – Choosing the Best Solution Strategy. In: Manandhar, S., Austin, J., Desai, U., Oyanagi, Y., Talukder, A.K. (eds.) AACC 2004. LNCS, vol. 3285, pp. 68–75. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Blum, C., Roli, A.: Metaheuristics in Combinatorial Optimization: Overview and Conceptual Comparison. ACM Computing Surveys 35/3, 268–308 (2003)

    Article  Google Scholar 

  10. Brucker, P.: Scheduling Algorithms, 2nd edn. Springer, Berlin (1998)

    MATH  Google Scholar 

  11. Crama, Y., Kolen, A., Pesch, E.: Local Search in Combinatorial Optimization. In: Braspenning, P.J., Weijters, A.J.M.M.T., Thuijsman, F. (eds.) Neural Network School 1999. LNCS, vol. 931, pp. 157–174. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  12. Dorndorf, U., Pesch, E.: Variable Depth Search and Embedded Schedule Neighbourhoods for Job Shop Scheduling. In: Proceedings of the 4th International Workshop on Project Management and Scheduling, pp. 232–235 (1994)

    Google Scholar 

  13. Garey, M.R., Johnson, D.S.: Computers and Intractability. W.H. Freeman and Co., San Francisco (1979)

    MATH  Google Scholar 

  14. Glover, F., Laguna, M.: Tabu Search. Kluwer Academic Publishers, Boston (1997)

    MATH  Google Scholar 

  15. Hansen, P., Mladenović, N.: Variable Neighbour Search. Principles and Applications. European Journal of Operational Research 130, 449–467 (2001)

    Article  MATH  Google Scholar 

  16. Haupt, R.: A Survey of Priority Rule–Based Scheduling. OR Spektrum 11, 3–16 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  17. Hooker, J.N.: Testing Heuristics: We Have It All Wrong. Journal of Heuristics 1, 33–42 (1995)

    Article  MATH  Google Scholar 

  18. Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220/4598, 671–680 (1983)

    Article  MathSciNet  Google Scholar 

  19. Johnson, S.M.: Optimal Two- and Three-Stage Production Schedules. Naval Research Logistics Quarterly 1, 61–68 (1954)

    Article  Google Scholar 

  20. Leung, J.Y.T.: Minimizing Total Weighted Error for Imprecise Computation Tasks and Related Problems. In: Leung, J.Y.T. (ed.) Handbook of Scheduling: Algorithms, Models, and Performance Analysis, ch. 34, pp. 1–16. CRC Press, Boca Raton (2004)

    Google Scholar 

  21. Pesch, E., Glover, F.: TSP Ejection Chains. Discrete Applied Mathematics 76, 165–181 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  22. Pinedo, M., Chao, X.: Operation Scheduling with Applications in Manufacturing and Services. Irwin/McGraw-Hill, Boston (1999)

    Google Scholar 

  23. Potts, C.N., Van Wassenhove, L.N.: Single Machine Scheduling to Minimize Total Late Work. Operations Research 40/3, 586–595 (1991)

    Google Scholar 

  24. Potts, C.N., Van Wassenhove, L.N.: Approximation Algorithms for Scheduling a Single Machine to Minimize Total Late Work. Operations Research Letters 11, 261–266 (1991)

    Article  Google Scholar 

  25. Sterna, M.: Problems and Algorithms in Non-Classical Shop Scheduling. Scientific Publishers of the Polish Academy of Sciences, Poznan (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Blazewicz, J., Pesch, E., Sterna, M., Werner, F. (2005). Metaheuristics for Late Work Minimization in Two-Machine Flow Shop with Common Due Date. In: Furbach, U. (eds) KI 2005: Advances in Artificial Intelligence. KI 2005. Lecture Notes in Computer Science(), vol 3698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11551263_19

Download citation

  • DOI: https://doi.org/10.1007/11551263_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28761-2

  • Online ISBN: 978-3-540-31818-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics