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Scatter search for minimizing weighted tardiness in a single machine scheduling with setups

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Abstract

Single machine scheduling problems have many real-life applications and may be hard to solve due to the particular characteristics of some production environments. In this paper, we tackle the single machine scheduling problem with sequence-dependent setup times with the objective of minimizing the weighted tardiness. To solve this problem, we propose a scatter search algorithm which uses path relinking in its core. This algorithm is enhanced with some procedures to speed-up the neighbors’ evaluation and with some diversification and intensification techniques, the latter taking some elements from iterated local search. We conducted an experimental study across a well-known set of instances to analyze the contribution of each component to the overall performance of the algorithm, as well as to compare our proposal with the state-of-the-art metaheuristics, obtaining competitive results. We also propose a new benchmark with larger and more challenging instances and provide the first results for them.

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Notes

  1. http://loki.stockton.edu/~cicirelv/benchmarks.html.

  2. https://www.passmark.com/.

  3. https://www.msu.edu/~rubin/files/research.html.

  4. http://www.uqac.ca/c3gagne/.

  5. Repository section in http://www.di.uniovi.es/iscop.

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Acknowledgements

All authors are supported by the Spanish Government under research Project TIN2016-79190-R. We would like to thank Fatih Taçgetiren, Wojciech Boźejko, Hongyun Xu, Gokhan Kirlik, Maria Battarra and Jiaxiang Luo for sending us the detailed results and/or the source code of their excellent papers. We also thank our colleague of the University of Oviedo, Susana Montes, for her supervision in the statistical analysis.

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  1. Department of Computing, University of Oviedo, Campus de Viesques, 33204, Gijón, Spain

    Miguel A. González, Juan José Palacios, Camino R. Vela & Alejandro Hernández-Arauzo

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  1. Miguel A. González
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  2. Juan José Palacios
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  3. Camino R. Vela
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Correspondence to Miguel A. González.

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González, M.A., Palacios, J.J., Vela, C.R. et al. Scatter search for minimizing weighted tardiness in a single machine scheduling with setups. J Heuristics 23, 81–110 (2017). https://doi.org/10.1007/s10732-017-9325-1

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