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Formulations, Relaxations, Approximations, and Gaps in the World of Scheduling

In: Multidisciplinary Scheduling: Theory and Applications

Author

Listed:
  • Gerhard J. Woeginger

    (TU Eindhoven)

Abstract

We discuss a number of polynomial time approximation results for scheduling problems. All presented results are based on the technique of rounding the optimal solution of an underlying linear programming relaxation. We analyse these relaxations, their integrality gaps, and the resulting approximation algorithms, and we derive matching worst-case instances.

Suggested Citation

  • Gerhard J. Woeginger, 2005. "Formulations, Relaxations, Approximations, and Gaps in the World of Scheduling," Springer Books, in: Graham Kendall & Edmund K. Burke & Sanja Petrovic & Michel Gendreau (ed.), Multidisciplinary Scheduling: Theory and Applications, pages 19-36, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-27744-8_2
    DOI: 10.1007/0-387-27744-7_2
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    Cited by:

    1. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.

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