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Approximation algorithms for coupled task scheduling minimizing the sum of completion times

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Listed:
  • David Fischer

    (Institute for Algorithms and Complexity)

  • Péter Györgyi

    (Eötvös Loránd Research Network)

Abstract

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several variants of this problem that are known to be $$\mathcal{N}\mathcal{P}$$ N P -hard, while also proving $$\mathcal{N}\mathcal{P}$$ N P -hardness for two variants whose complexity was unknown before. Using these results, together with constant-factor approximations for the makespan objective from the literature, we also introduce the first results on bi-objective approximation in the coupled task setting.

Suggested Citation

  • David Fischer & Péter Györgyi, 2023. "Approximation algorithms for coupled task scheduling minimizing the sum of completion times," Annals of Operations Research, Springer, vol. 328(2), pages 1387-1408, September.
    • Handle: RePEc:spr:annopr:v:328:y:2023:i:2:d:10.1007_s10479-023-05322-5
    DOI: 10.1007/s10479-023-05322-5
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    References listed on IDEAS

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    5. Bo Chen & Xiandong Zhang, 2021. "Scheduling coupled tasks with exact delays for minimum total job completion time," Journal of Scheduling, Springer, vol. 24(2), pages 209-221, April.
    6. Békési, József & Dósa, György & Galambos, Gábor, 2022. "A first Fit type algorithm for the coupled task scheduling problem with unit execution time and two exact delays," European Journal of Operational Research, Elsevier, vol. 297(3), pages 844-852.
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    10. Mostafa Khatami & Amir Salehipour, 2021. "A binary search algorithm for the general coupled task scheduling problem," 4OR, Springer, vol. 19(4), pages 593-611, December.
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