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Complexity of server scheduling on parallel dedicated machines subject to fixed job sequences

Author

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  • T. C. E. Cheng
  • Svetlana A. Kravchenko
  • Bertrand M. T. Lin

Abstract

We study server scheduling on parallel dedicated machines to minimize the makespan subject to given processing sequences. Before a job starts its processing on its designated machine, a loading operation must be performed, which is undertaken by a server shared by all the jobs. While the two-machine problem is polynomially solvable, we show that the problem becomes binary NP-hard when the number of machines is three, and propose a pseudo-polynomial algorithm to solve the problem with a constant number of machines.

Suggested Citation

  • T. C. E. Cheng & Svetlana A. Kravchenko & Bertrand M. T. Lin, 2021. "Complexity of server scheduling on parallel dedicated machines subject to fixed job sequences," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(10), pages 2286-2289, October.
    • Handle: RePEc:taf:tjorxx:v:72:y:2021:i:10:p:2286-2289
    DOI: 10.1080/01605682.2020.1779625
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    Cited by:

    1. Abdelhak Elidrissi & Rachid Benmansour & Nicolas Zufferey & Mohammed Benbrahim & David Duvivier, 2024. "Minimization of maximum lateness on parallel machines with a single server and job release dates," 4OR, Springer, vol. 22(3), pages 351-385, September.

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