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Efficient metaheuristic algorithm and re-formulations for the unrelated parallel machine scheduling problem with sequence and machine-dependent setup times

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Abstract

In this paper, an unrelated parallel machine scheduling problem with sequence and machine-dependent setup times and makespan minimization is studied. A new makespan linearization and several mixed integer formulations are proposed for this problem. These formulations outperform the previously published formulations regarding size of instances and computational time to reach optimal solutions. Using these models, it is possible to solve instances six times larger than what was previously solved and to obtain optimal solutions on instances of the same size up to four orders of magnitude faster. A metaheuristic algorithm based on multi-start algorithm and variable neighbourhood descent metaheuristic is proposed. Composite movements were defined for the improvement phase of the proposed metaheuristic algorithm that considerably improved the performance of the algorithm providing small deviations from optimal solutions in medium-sized instances and outperforming the best known solutions for large instances.

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Authors and Affiliations

  1. Universidad Autónoma de Nuevo León, Av. Universidad s/n, San Nicolás de los Garza, NL, Mexico

    Oliver Avalos-Rosales & Ada Alvarez

  2. Tecnológico de Monterrey, Campus Monterrey, Av. Eugenio Garza Sada 2501, Monterrey, NL, Mexico

    Francisco Angel-Bello

Authors
  1. Oliver Avalos-Rosales
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  2. Francisco Angel-Bello
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  3. Ada Alvarez
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Correspondence to Francisco Angel-Bello.

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Avalos-Rosales, O., Angel-Bello, F. & Alvarez, A. Efficient metaheuristic algorithm and re-formulations for the unrelated parallel machine scheduling problem with sequence and machine-dependent setup times. Int J Adv Manuf Technol 76, 1705–1718 (2015). https://doi.org/10.1007/s00170-014-6390-6

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  • DOI: https://doi.org/10.1007/s00170-014-6390-6

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