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Improved approximation algorithms for multiprocessor indivisible coflow scheduling

Author

Listed:
  • Mingyang Gong

    (University of Alberta)

  • Guangting Chen

    (Zhejiang University of Water Resources and Electric Power)

  • Guohui Lin

    (University of Alberta)

  • Bing Su

    (Xi’an Technological University)

Abstract

Coflow scheduling is a challenging optimization problem that underlies many data transmission and parallel computing applications. In this paper, we study the indivisible coflow scheduling problem on parallel identical machines with the objective to minimize the makespan, i.e., the completion time of the last flow. In our problem setting, the number of the input/output ports in each machine is a fixed constant, each port has a unit capacity, and all the flows inside a coflow should be scheduled on the same machine. We present a $$(2 + \epsilon )$$ ( 2 + ϵ ) -approximation algorithm for the problem, for any $$\epsilon > 0$$ ϵ > 0 , in which the number of machines can be either a fixed constant or part of the input.

Suggested Citation

  • Mingyang Gong & Guangting Chen & Guohui Lin & Bing Su, 2025. "Improved approximation algorithms for multiprocessor indivisible coflow scheduling," Journal of Combinatorial Optimization, Springer, vol. 49(5), pages 1-17, July.
    • Handle: RePEc:spr:jcomop:v:49:y:2025:i:5:d:10.1007_s10878-025-01325-z
    DOI: 10.1007/s10878-025-01325-z
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    References listed on IDEAS

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    1. H. W. Lenstra, 1983. "Integer Programming with a Fixed Number of Variables," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 538-548, November.
    2. Gerhard J. Woeginger, 2000. "When Does a Dynamic Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)?," INFORMS Journal on Computing, INFORMS, vol. 12(1), pages 57-74, February.
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