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Abstract

In this paper we introduce a complex allocation and scheduling problem for variable voltage Multi-Processor System-on-Chip (MPSoC) platforms. We propose a methodology to formulate and solve to optimality the allocation, scheduling and discrete voltage selection problem, minimizing the system energy dissipation and the overhead for frequency switching. Our approach is based on the Logic Benders decomposition technique where the allocation is solved through an Integer Programming solver, and the scheduling through a Constraint Programming solver. The two solvers are interleaved and their interaction regulated by cutting plane generation. The objective function depends on both master and sub-problem variables. We demonstrate the efficiency of our approach on a set of realistic instances.

Keywords

Shared Memory Clock Cycle Constraint Programming Master Problem Setup Cost 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Benders, J.F.: Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik 4, 238–252 (1962)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Bertozzi, D., Benini, L., Guerri, A., Milano, M.: Allocation and scheduling for mpsocs via decomposition and no-good generation. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 107–121. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  3. 3.
    Fischetti, M., Balas, E., Pulleyblank, W.: The precedence constrained asymmetric travelling salesman problem. Mathematical Programming 68, 241–265 (1995)MathSciNetMATHGoogle Scholar
  4. 4.
    Eremin, A., Wallace, M.: Hybrid benders decomposition algorithms in constraint logic programming. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 1–15. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  5. 5.
    Grossmann, I.E., Jain, V.: Algorithms for hybrid milp/cp models for a class of optimization problems. INFORMS Journal on Computing 13, 258–276 (2001)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Hooker, J.N.: A hybrid method for planning and scheduling. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 305–316. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  7. 7.
    Hooker, J.N.: Planning and scheduling to minimize tardiness. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 314–327. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  8. 8.
    Hooker, J.N., Ottosson, G.: Logic-based benders decomposition. Mathematical Programming 96, 33–60 (2003)MathSciNetCrossRefMATHGoogle Scholar
  9. 9.
    Poletti, P., Poggiali, A., Marchal, P.: Flexible hardware/software support for message passing on a distributed shared memory architecture. In: 2005 Design, Automation and Test in Europe Conference and Exposition DATE 2005, pp. 736–741 (2005)Google Scholar
  10. 10.
    Ruggiero, M., Acquaviva, A., Bertozzi, D., Benini, L.: Application-specific power-aware workload allocation for voltage scalable mpsoc platforms. In: 2005 International Conference on Computer Design, pp. 87–93 (2005)Google Scholar
  11. 11.
    Ruggiero, M., Guerri, A., Bertozzi, D., Benini, L., Milano, M.: Communication-aware allocation and scheduling framework for stream-oriented multi-processor systems-on-chip. In: 2006 Design, Automation and Test in Europe Conference and Exposition DATE 2006 (2006)Google Scholar
  12. 12.
    Thorsteinsson, E.S.: A hybrid framework integrating mixed integer programming and constraint programming. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 16–30. Springer, Heidelberg (2001)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Luca Benini
    • 1
  • Davide Bertozzi
    • 2
  • Alessio Guerri
    • 1
  • Michela Milano
    • 1
  1. 1.DEISUniversity of BolognaBolognaItaly
  2. 2.Dipartimento di IngegneriaUniversity of FerraraFerraraItaly

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