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SIRALINA: efficient two-steps heuristic for storage optimisation in single period task scheduling

Author

Listed:
  • Karine Deschinkel

    (University of Versailles Saint-Quentin-en-Yvelines)

  • Sid-Ahmed-Ali Touati

    (University of Versailles Saint-Quentin-en-Yvelines)

  • Sébastien Briais

    (University of Versailles Saint-Quentin-en-Yvelines)

Abstract

In this paper, we study the general problem of one-dimensional periodic task scheduling under storage requirement, irrespective of machine constraints. We have already presented in (Touati and Eisenbeis, Parallel Process. Lett. 14(2):287–313, 2004) a theoretical framework that allows an optimal optimisation of periodic storage requirement in a cyclic schedule. Since our optimisation problem is NP-hard (Touati, PhD thesis, 2002), solving an exact integer linear programming formulation is too expensive in practice. In this article, we propose an efficient two-steps heuristic using model’s properties that allows fast computation times while providing highly satisfactory results. This method includes the solution of an integer linear program with a totally unimodular constraints matrix in first step, then the solution of a linear assignment problem. Our heuristic is implemented for an industrial compiler for embedded VLIW processors.

Suggested Citation

  • Karine Deschinkel & Sid-Ahmed-Ali Touati & Sébastien Briais, 2011. "SIRALINA: efficient two-steps heuristic for storage optimisation in single period task scheduling," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 819-844, November.
  • Handle: RePEc:spr:jcomop:v:22:y:2011:i:4:d:10.1007_s10878-010-9332-8
    DOI: 10.1007/s10878-010-9332-8
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    References listed on IDEAS

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    1. Andrew V. Goldberg & Robert E. Tarjan, 1990. "Finding Minimum-Cost Circulations by Successive Approximation," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 430-466, August.
    2. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
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