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Iterated greedy local search methods for unrelated parallel machine scheduling

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  • Fanjul-Peyro, Luis
  • Ruiz, Rubén

Abstract

This work deals with the parallel machine scheduling problem which consists in the assignment of n jobs on m parallel machines. The most general variant of this problem is when the processing time depends on the machine to which each job is assigned to. This case is known as the unrelated parallel machine problem. Similarly to most of the literature, this paper deals with the minimization of the maximum completion time of the jobs, commonly referred to as makespan (Cmax). Many algorithms and methods have been proposed for this hard combinatorial problem, including several highly sophisticated procedures. By contrast, in this paper we propose a set of simple iterated greedy local search based metaheuristics that produce solutions of very good quality in a very short amount of time. Extensive computational campaigns show that these solutions are, most of the time, better than the current state-of-the-art methodologies by a statistically significant margin.

Suggested Citation

  • Fanjul-Peyro, Luis & Ruiz, Rubén, 2010. "Iterated greedy local search methods for unrelated parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 207(1), pages 55-69, November.
  • Handle: RePEc:eee:ejores:v:207:y:2010:i:1:p:55-69
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    Cited by:

    1. F. Rodriguez & C. Blum & C. García-Martínez & M. Lozano, 2012. "GRASP with path-relinking for the non-identical parallel machine scheduling problem with minimising total weighted completion times," Annals of Operations Research, Springer, vol. 201(1), pages 383-401, December.
    2. Ching-Jong Liao & Cheng-Hsiung Lee & Hsing-Tzu Tsai, 2016. "Scheduling with multi-attribute set-up times on unrelated parallel machines," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4839-4853, August.
    3. Fanjul-Peyro, Luis & Perea, Federico & Ruiz, Rubén, 2017. "Models and matheuristics for the unrelated parallel machine scheduling problem with additional resources," European Journal of Operational Research, Elsevier, vol. 260(2), pages 482-493.
    4. Yang-Kuei Lin, 2018. "Scheduling efficiency on correlated parallel machine scheduling problems," Operational Research, Springer, vol. 18(3), pages 603-624, October.
    5. Zoltán Varga & Pál Simon, 2014. "Examination Of Scheduling Methods For Production Systems," Advanced Logistic systems, University of Miskolc, Department of Material Handling and Logistics, vol. 8(1), pages 111-120, December.
    6. Pessoa, Luciana S. & Andrade, Carlos E., 2018. "Heuristics for a flowshop scheduling problem with stepwise job objective function," European Journal of Operational Research, Elsevier, vol. 266(3), pages 950-962.
    7. Fernandez-Viagas, Victor & Molina-Pariente, Jose M. & Framinan, Jose M., 2020. "Generalised accelerations for insertion-based heuristics in permutation flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 282(3), pages 858-872.
    8. Pan, Quan-Ke & Ruiz, Rubén, 2012. "Local search methods for the flowshop scheduling problem with flowtime minimization," European Journal of Operational Research, Elsevier, vol. 222(1), pages 31-43.
    9. Zhang, Zhe & Song, Xiaoling & Huang, Huijung & Zhou, Xiaoyang & Yin, Yong, 2022. "Logic-based Benders decomposition method for the seru scheduling problem with sequence-dependent setup time and DeJong’s learning effect," European Journal of Operational Research, Elsevier, vol. 297(3), pages 866-877.
    10. Lozano, M. & Molina, D. & GarcI´a-MartI´nez, C., 2011. "Iterated greedy for the maximum diversity problem," European Journal of Operational Research, Elsevier, vol. 214(1), pages 31-38, October.
    11. Yepes-Borrero, Juan C. & Perea, Federico & Ruiz, Rubén & Villa, Fulgencia, 2021. "Bi-objective parallel machine scheduling with additional resources during setups," European Journal of Operational Research, Elsevier, vol. 292(2), pages 443-455.
    12. Pinacho Davidson, Pedro & Blum, Christian & Lozano, Jose A., 2018. "The weighted independent domination problem: Integer linear programming models and metaheuristic approaches," European Journal of Operational Research, Elsevier, vol. 265(3), pages 860-871.
    13. Wu, Xueqi & Che, Ada, 2019. "A memetic differential evolution algorithm for energy-efficient parallel machine scheduling," Omega, Elsevier, vol. 82(C), pages 155-165.
    14. Mecler, Davi & Abu-Marrul, Victor & Martinelli, Rafael & Hoff, Arild, 2022. "Iterated greedy algorithms for a complex parallel machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 300(2), pages 545-560.
    15. Victor Abu-Marrul & Rafael Martinelli & Silvio Hamacher & Irina Gribkovskaia, 2023. "Simheuristic algorithm for a stochastic parallel machine scheduling problem with periodic re-planning assessment," Annals of Operations Research, Springer, vol. 320(2), pages 547-572, January.
    16. García-Martínez, C. & Rodriguez, F.J. & Lozano, M., 2014. "Tabu-enhanced iterated greedy algorithm: A case study in the quadratic multiple knapsack problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 454-463.
    17. Bahman Naderi & Rubén Ruiz & Vahid Roshanaei, 2023. "Mixed-Integer Programming vs. Constraint Programming for Shop Scheduling Problems: New Results and Outlook," INFORMS Journal on Computing, INFORMS, vol. 35(4), pages 817-843, July.
    18. Huerta-Muñoz, Diana L. & Ríos-Mercado, Roger Z. & Ruiz, Rubén, 2017. "An iterated greedy heuristic for a market segmentation problem with multiple attributes," European Journal of Operational Research, Elsevier, vol. 261(1), pages 75-87.
    19. Hamza Jouhari & Deming Lei & Mohammed A. A. Al-qaness & Mohamed Abd Elaziz & Ahmed A. Ewees & Osama Farouk, 2019. "Sine-Cosine Algorithm to Enhance Simulated Annealing for Unrelated Parallel Machine Scheduling with Setup Times," Mathematics, MDPI, vol. 7(11), pages 1-18, November.
    20. Giorgi Tadumadze & Simon Emde & Heiko Diefenbach, 2020. "Exact and heuristic algorithms for scheduling jobs with time windows on unrelated parallel machines," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 461-497, June.
    21. Ángel Corberán & Juanjo Peiró & Vicente Campos & Fred Glover & Rafael Martí, 2016. "Strategic oscillation for the capacitated hub location problem with modular links," Journal of Heuristics, Springer, vol. 22(2), pages 221-244, April.
    22. Wang, Haibo & Alidaee, Bahram, 2019. "Effective heuristic for large-scale unrelated parallel machines scheduling problems," Omega, Elsevier, vol. 83(C), pages 261-274.
    23. Alejandro Santiago & Mirna Ponce-Flores & J. David Terán-Villanueva & Fausto Balderas & Salvador Ibarra Martínez & José Antonio Castan Rocha & Julio Laria Menchaca & Mayra Guadalupe Treviño Berrones, 2021. "Energy Idle Aware Stochastic Lexicographic Local Searches for Precedence-Constraint Task List Scheduling on Heterogeneous Systems," Energies, MDPI, vol. 14(12), pages 1-22, June.

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