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
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)
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
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)
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)
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)
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)
Karmakar, S., Bhunia, A.K.: A comparative study of different order relations of intervals. Reliable Comput. 16, 38–72 (2012)
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)
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
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
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
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
Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. Society for Industrial and Applied Mathematics (2009)
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
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
Pinedo, M.L.: Scheduling. Theory, Algorithms, and Systems, Fifth edn. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-319-26580-3
Roy, B.: Robustness in operational research and decision aiding: a multi-faceted issue. Eur. J. Oper. Res. 200, 629–638 (2010)
Xu, Z., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. General Syst. 35(4), 417–433 (2006)
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
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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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