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International Conference on Hybrid Artificial Intelligence Systems

HAIS 2020: Hybrid Artificial Intelligent Systems pp 209–220Cite as

Tardiness Minimisation for Job Shop Scheduling with Interval Uncertainty

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12344))

Abstract

This paper considers the interval job shop scheduling problem, a variant of the deterministic problem where task durations and due dates are uncertain and modelled as intervals. With the objective of minimising the total tardiness with respect to due dates, we propose a genetic algorithm. Experimental results are reported to assess its behaviour and compare it with the state-of-the-art algorithms, showing its competitiveness. Additional results in terms of solution robustness are given to illustrate the relevance of the interval ranking method used to compare schedules as well as the benefits of taking uncertainty into account during the search process.

Supported by the Spanish Government under research grants TIN2016-79190-R and TIN2017-87600-P and by the Principality of Asturias Government under grant IDI/2018/000176.

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References

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

    Article  MathSciNet  Google Scholar 

  2. Behnamian, J.: Survey on fuzzy shop scheduling. Fuzzy Optim. Decis. Making 15(3), 331–366 (2015). https://doi.org/10.1007/s10700-015-9225-5

    Article  MathSciNet  MATH  Google Scholar 

  3. Bustince, H., Fernandez, J., Kolesárová, A., Mesiar, R.: Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets Syst. 220, 69–77 (2013)

    Article  MathSciNet  Google Scholar 

  4. Chanas, S., Kasperski, A.: On two single machine scheduling problems with fuzzy processing times and fuzzy due dates. Eur. J. Oper. Res. 147, 281–296 (2003)

    Article  MathSciNet  Google Scholar 

  5. González, M., Vela, C.R., Varela, R.: An efficient memetic algorithm for the flexible job shop with setup times. In: Proceedings of the 23th International Conference on Automated Planning and Scheduling (ICAPS-2013), pp. 91–99 (2013)

    Google Scholar 

  6. González Rodríguez, I., Puente, J., Vela, C.R., Varela, R.: Semantics of schedules for the fuzzy job shop problem. IEEE Trans. Syst. Man Cybern. Part A 38(3), 655–666 (2008)

    Article  Google Scholar 

  7. Karmakar, S., Bhunia, A.K.: A comparative study of different order relations of intervals. Reliable Comput. 16, 38–72 (2012)

    MathSciNet  MATH  Google Scholar 

  8. Kuhpfahl, J., Bierwirth, C.: A study on local search neighbourhoods for the job shop scheduling problem with total weighted tardiness objective. Comput. Oper. Res. 261, 44–57 (2016)

    Article  Google Scholar 

  9. Lei, D.: Population-based neighborhood search for job shop scheduling with interval processing time. Comput. Ind. Eng. 61, 1200–1208 (2011). https://doi.org/10.1016/j.cie.2011.07.010

    Article  Google Scholar 

  10. Lei, D.: Interval job shop scheduling problems. Int. J. Adv. Manuf. Technol. 60, 291–301 (2012). https://doi.org/10.1007/s00170-011-3600-3

    Article  Google Scholar 

  11. Lei, D.: Multi-objective artificial bee colony for interval job shop scheduling with flexible maintenance. Int. J. Adv. Manuf. Technol. 66, 1835–1843 (2013). https://doi.org/10.1007/s00170-012-4463-y

    Article  Google Scholar 

  12. Lei, D., Guo, X.: An effective neighborhood search for scheduling in dual-resource constrained interval job shop with environmental objective. Int. J. Prod. Econ. 159, 296–303 (2015). https://doi.org/10.1016/j.ijpe.2014.07.026

    Article  Google Scholar 

  13. Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. Society for Industrial and Applied Mathematics (2009)

    Google Scholar 

  14. Mou, J., Gao, L., Li, X., Pan, Q., Mu, J.: Multi-objective inverse scheduling optimization of single-machine shop system with uncertain due-dates and processing times. Cluster Comput. 20(1), 371–390 (2017). https://doi.org/10.1007/s10586-016-0717-z

    Article  Google Scholar 

  15. Palacios, J.J., González-Rodríguez, I., Vela, C.R., Puente, J.: Robust swarm optimisation for fuzzy open shop scheduling. Nat. Comput. 13(2), 145–156 (2014). https://doi.org/10.1007/s11047-014-9413-1

    Article  MathSciNet  Google Scholar 

  16. Pinedo, M.L.: Scheduling. Theory, Algorithms, and Systems, Fifth edn. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-319-26580-3

  17. Roy, B.: Robustness in operational research and decision aiding: a multi-faceted issue. Eur. J. Oper. Res. 200, 629–638 (2010)

    Article  Google Scholar 

  18. Xu, Z., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. General Syst. 35(4), 417–433 (2006)

    Article  MathSciNet  Google Scholar 

  19. Zhang, J., Ding, G., Zou, Y., Qin, S., Fu, J.: Review of job shop scheduling research and its new perspectives under Industry 4.0. J. Intell. Manuf. 30(4), 1809–1830 (2017). https://doi.org/10.1007/s10845-017-1350-2

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computing, University of Oviedo, Oviedo, Spain

    Hernán Díaz, Juan José Palacios, Irene Díaz & Camino R. Vela

  2. Department of Maths, Stats and Computing, University of Cantabria, Santander, Spain

    Inés González-Rodríguez

Authors
  1. Hernán Díaz
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  2. Juan José Palacios
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  3. Irene Díaz
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  4. Camino R. Vela
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  5. Inés González-Rodríguez
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Corresponding author

Correspondence to Hernán Díaz .

Editor information

Editors and Affiliations

  1. University of Oviedo, Oviedo, Spain

    Enrique Antonio de la Cal

  2. University of Oviedo, Oviedo, Spain

    José Ramón Villar Flecha

  3. University of A Coruña, Ferrol, Spain

    Héctor Quintián

  4. University of Salamanca, Salamanca, Spain

    Emilio Corchado

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Díaz, H., Palacios, J.J., Díaz, I., Vela, C.R., González-Rodríguez, I. (2020). Tardiness Minimisation for Job Shop Scheduling with Interval Uncertainty. In: de la Cal, E.A., Villar Flecha, J.R., Quintián, H., Corchado, E. (eds) Hybrid Artificial Intelligent Systems. HAIS 2020. Lecture Notes in Computer Science(), vol 12344. Springer, Cham. https://doi.org/10.1007/978-3-030-61705-9_18

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  • DOI: https://doi.org/10.1007/978-3-030-61705-9_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-61704-2

  • Online ISBN: 978-3-030-61705-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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