Skip to main content

Abstract

The paper presents a new algorithm for solving flow-shop manufacturing problem with time limits, the quality control, removing of manufacturing defects (quality lack) on an additional repair machine and re-treatment of task in technological route. Because an appearance of the defect is an unexpected event the quality control results as well as a job processing time are not known a priori. Thus, we deal with stochastic uncertainties. Our algorithm is based on algebraic-logistic meta-model (ALMM) methodology and is a combination of the searching algorithm with the special local criterion and the method of algebraic-logical models switching. The searching algorithm has been determining the deterministic problems solution on the basis of discrete process simulation until now. Switching method presents the problem by using two simple models and switching function, which specifies the rules of using these models and is used to model the removal of the manufacturing defects on an additional repair machine. The proposed approach was tested and the results of computer experiments are presented in the paper.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Almeder, C., Hartl, R.F.: A metaheuristic optimization approach for a real-world stochastic flexible flow shop problem with limited buffer. Int. J. Prod. Econ. 145, 88–95 (2013)

    Article  Google Scholar 

  2. Aytug, H., Lawley, M.A.: Executing production schedules in the face of uncertainties: a review and some future directions. Eur. J. Oper. Res. 161(1), 86–110 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  3. Billio, M., Ferrara, L., Guegan, D., Mazzi, G.L.: Evaluation of regime switching models for real-time business cycle analysis of the euro area. J. Forecast 32, 577–586 (2013)

    Article  MathSciNet  Google Scholar 

  4. Choi, S.H., Wang, K.: Flexible flow shop scheduling with stochastic processing times: a decomposition-based approach. Comput. Ind. Eng. 63(2), 362–373 (2012)

    Article  Google Scholar 

  5. Dudek-Dyduch, E.: Learning based algorithm in scheduling. J. Intell. Manuf. 11(2), 135–143 (2000)

    Article  Google Scholar 

  6. Dudek-Dyduch E.: Algebraic logical meta-model of decision processes—new metaheuristics. In: LNAI vol. 9119, pp. 541–554. Springer, Berlin (2015)

    Google Scholar 

  7. Dudek-Dyduch E.: Modeling manufacturing processes with disturbances—a new method based on algebraic-logical meta-models. In: LNAI vol. 9120, pp. 353–363. Springer, Berlin (2015)

    Google Scholar 

  8. Dudek-Dyduch E.: Modeling manufacturing processes with disturbances—two-stage AL model transformation method. The 20th International Conference on Methods and Models in Automation and Robotics, MMAR proceedings, pp. 782–787 (2015)

    Google Scholar 

  9. Dudek-Dyduch E., Dutkiewicz L.: Substitution tasks method for discrete optimization. In: LNAI vol. 7895, pp. 419–430. Springer, Berlin (2013)

    Google Scholar 

  10. Dudek-Dyduch E., Kucharska E.: Learning method for co-operation. In: LNCS, vol. 6923, pp. 290–300. Springer, Berlin (2011)

    Google Scholar 

  11. Dudek-Dyduch E., Kucharska E., Dutkiewicz L., Rączka K.: ALMM solver—a tool for optimization problems. In: ICAISC 2014, pp. 328–338. Springer, Berlin (2014)

    Google Scholar 

  12. Grobler-Dębska K., Kucharska E., Dudek-Dyduch E.: Idea of switching algebraic-logical models in flow-shop scheduling problem with defects. The 18th International Conference on Methods and Models in Automation and Robotics, MMAR proceedings, pp. 532–537 (2013)

    Google Scholar 

  13. Grobler-Dębska K., Kucharska E., Jagodziński M.: ALMM-based switching method for FSS problem with defects. The 19th International Conference on Methods and Models in Automation and Robotics, MMAR proceedings, pp. 814–819 (2014)

    Google Scholar 

  14. Hamilton J.D.: Regime-Switching Models. Palgrave Dictionary of Economics, UK (2005)

    Google Scholar 

  15. Kucharska E., Dudek-Dyduch E.: Extended Learning Method for Designation of Co-Operation. In: LNCS, vol. 8615, pp. 136–157. Springer, Berlin (2014)

    Google Scholar 

  16. Pinedo, M.: Scheduling theory, algorithms, and systems. Prentice Hall, New Jersey (1995)

    MATH  Google Scholar 

  17. Sękowski H., Dudek-Dyduch E.: Knowledge based model for scheduling in failure modes. LNCS, vol. 7268, pp. 591–599. Springer, Berlin (2012)

    Google Scholar 

  18. Shabtay D.: The just-in-time scheduling problem in a flow-shop scheduling. Eur. J. Oper. Res. 216, 521–532 (2012)

    Google Scholar 

  19. Yin G., Krishnamurthy V.: Regime switching stochastic approximation algorithm with application to adaptive discrete stochastic optimization. Ind. Appl. Math. 14, 1187–1215 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Edyta Kucharska .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Kucharska, E., Grobler-Dębska, K., Rączka, K. (2017). ALMM-Based Methods for Optimization Makespan Flow-Shop Problem with Defects. In: Borzemski, L., Grzech, A., Świątek, J., Wilimowska, Z. (eds) Information Systems Architecture and Technology: Proceedings of 37th International Conference on Information Systems Architecture and Technology – ISAT 2016 – Part I. Advances in Intelligent Systems and Computing, vol 521. Springer, Cham. https://doi.org/10.1007/978-3-319-46583-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46583-8_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46582-1

  • Online ISBN: 978-3-319-46583-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics