Abstract
In this work, we present a new approach for the Parallel Row Ordering Problem (PROP), based on the Scatter Search metaheuristic. The PROP focuses on minimizing the total weighted sum of all distances between each pair of facility centers in a linear layout. The proposed method is able to obtain all known optimal values in a fraction of the time required by the previous exact methods for the set of smaller instances, and it outperforms the current state of the art metaheuristic for the set of larger instances, spending a comparable computing time.
This work has been partially supported by the Spanish Ministerio de Ciencia, Innovación y Universidades (MCIU/AEI/FEDER, UE) under grant refs. PGC2018-095322-B-C22 and PID2021-126605NB-I00; and Comunidad de Madrid y Fondos Estructurales de la Unión Europea with grant ref. P2018/TCS-4566.
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References
Ahmadi, A., Pishvaee, M.S., Jokar, M.R.A.: A survey on multi-floor facility layout problems. Comput. Ind. Eng. 107, 158–170 (2017)
Amaral, A.R.: A parallel ordering problem in facilities layout. Comput. Oper. Res. 40(12), 2930–2939 (2013)
Garey, M.R., Johnson, D.S.: Computers and Intractability, vol. 174. Freeman, San Francisco (1979)
Glover, F.: Heuristics for integer programming using surrogate constraints. Decis. Sci. 8(1), 156–166 (1977)
Gong, J., Zhang, Z., Liu, J., Guan, C., Liu, S.: Hybrid algorithm of harmony search for dynamic parallel row ordering problem. J. Manuf. Syst. 58, 159–175 (2021)
López-Ibáñez, M., Dubois-Lacoste, J., Pérez Cáceres, L., Stützle, T., Birattari, M.: The irace package: iterated racing for automatic algorithm configuration. Oper. Res. Perspect. 3, 43–58 (2016). https://doi.org/10.1016/j.orp.2016.09.002
Maadi, M., Javidnia, M., Jamshidi, R.: Two strategies based on meta-heuristic algorithms for parallel row ordering problem (PROP). Iran. J. Manag. Stud. 10(2), 467–498 (2017)
Martí, R., Corberán, Á., Peiró, J.: Scatter search. In: Martí, R., Pardalos, P., Resende, M. (eds.) Handbook of Heuristics, pp. 717–740. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-07124-4_20
Yang, X., Cheng, W., Smith, A.E., Amaral, A.R.S.: An improved model for the parallel row ordering problem. J. Oper. Res. Soc. 71(3), 475–490 (2020)
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Martín-Santamaría, R., Colmenar, J.M., Duarte, A. (2023). A Scatter Search Approach for the Parallel Row Ordering Problem. In: Di Gaspero, L., Festa, P., Nakib, A., Pavone, M. (eds) Metaheuristics. MIC 2022. Lecture Notes in Computer Science, vol 13838. Springer, Cham. https://doi.org/10.1007/978-3-031-26504-4_40
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DOI: https://doi.org/10.1007/978-3-031-26504-4_40
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