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A lower bound for weighted completion time variance

Author

Listed:
  • R. Nessah

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

  • C. Chu

Abstract

We consider a single machine scheduling problem to minimize the weighted completion time variance. This problem is known to be NP-hard. We propose a heuristic and a lower bound based on job splitting and the Viswanathkumar and Srinivasan procedure. The test on more than 2000 instances shows that this lower bound is very tight and the heuristic yields solutions very close to optimal ones since the gap between the solution given by the heuristic and the lower bound is very small.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • R. Nessah & C. Chu, 2010. "A lower bound for weighted completion time variance," Post-Print hal-00572982, HAL.
    • Handle: RePEc:hal:journl:hal-00572982
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    Cited by:

    1. Pereira, Jordi & Vásquez, Óscar C., 2017. "The single machine weighted mean squared deviation problem," European Journal of Operational Research, Elsevier, vol. 261(2), pages 515-529.
    2. Stefano Nasini & Rabia Nessah, 2024. "Time-flexible min completion time variance in a single machine by quadratic programming," Post-Print hal-04551081, HAL.
    3. Nasini, Stefano & Nessah, Rabia, 2022. "A multi-machine scheduling solution for homogeneous processing: Asymptotic approximation and applications," International Journal of Production Economics, Elsevier, vol. 251(C).
    4. Nasini, Stefano & Nessah, Rabia, 2021. "An almost exact solution to the min completion time variance in a single machine," European Journal of Operational Research, Elsevier, vol. 294(2), pages 427-441.
    5. Koulamas, Christos & Kyparisis, George J., 2023. "Two-stage no-wait proportionate flow shop scheduling with minimal service time variation and optional job rejection," European Journal of Operational Research, Elsevier, vol. 305(2), pages 608-616.
    6. Nasini, Stefano & Nessah, Rabia, 2024. "Time-flexible min completion time variance in a single machine by quadratic programming," European Journal of Operational Research, Elsevier, vol. 312(2), pages 427-444.

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