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Decomposition and hybrid simulated annealing heuristics for the parallel‐machine total tardiness problem

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  • Christos Koulamas

Abstract

A polynomial decomposition heuristic is developed for the parallel‐machine tardiness problem (P&sol& sol;T) by extending the decomposition principle embedded in the single‐machine tardiness problem (1&sol/T) to a parallel‐machine setting. The subproblems generated by the decomposition are solved by an effective heuristic that yields solutions such that the schedule on any individual machine satisfies the single‐machine decomposition principle. A hybrid simulated annealing heuristic tailored to the P&sol/T problem is also presented. Computational results demonstrate the efficiency and effectiveness of the decomposition heuristic. © 1997 John Wiley & Sons, Inc.

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  • Christos Koulamas, 1997. "Decomposition and hybrid simulated annealing heuristics for the parallel‐machine total tardiness problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 109-125, February.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:1:p:109-125
    DOI: 10.1002/(SICI)1520-6750(199702)44:13.0.CO;2-E
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    References listed on IDEAS

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    1. Jianzhong Du & Joseph Y.-T. Leung, 1990. "Minimizing Total Tardiness on One Machine is NP-Hard," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 483-495, August.
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    Cited by:

    1. Söhnke Maecker & Liji Shen, 2020. "Solving parallel machine problems with delivery times and tardiness objectives," Annals of Operations Research, Springer, vol. 285(1), pages 315-334, February.
    2. Shim, Sang-Oh & Kim, Yeong-Dae, 2007. "Scheduling on parallel identical machines to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 177(1), pages 135-146, February.
    3. Halil Şen & Kerem Bülbül, 2015. "A Strong Preemptive Relaxation for Weighted Tardiness and Earliness/Tardiness Problems on Unrelated Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 135-150, February.
    4. Arthur Kramer & Anand Subramanian, 2019. "A unified heuristic and an annotated bibliography for a large class of earliness–tardiness scheduling problems," Journal of Scheduling, Springer, vol. 22(1), pages 21-57, February.
    5. Daniel Schubert & André Scholz & Gerhard Wäscher, 2018. "Integrated order picking and vehicle routing with due dates," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1109-1139, October.

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