Skip to main content

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benders, J.F.: Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik 4, 238–252 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  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)

    Chapter  Google Scholar 

  3. Fischetti, M., Balas, E., Pulleyblank, W.: The precedence constrained asymmetric travelling salesman problem. Mathematical Programming 68, 241–265 (1995)

    MathSciNet  MATH  Google Scholar 

  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)

    Chapter  Google Scholar 

  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)

    Article  MathSciNet  MATH  Google Scholar 

  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)

    Chapter  Google Scholar 

  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)

    Chapter  Google Scholar 

  8. Hooker, J.N., Ottosson, G.: Logic-based benders decomposition. Mathematical Programming 96, 33–60 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  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. 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. 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. 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)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Benini, L., Bertozzi, D., Guerri, A., Milano, M. (2006). Allocation, Scheduling and Voltage Scaling on Energy Aware MPSoCs. In: Beck, J.C., Smith, B.M. (eds) Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2006. Lecture Notes in Computer Science, vol 3990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11757375_6

Download citation

  • DOI: https://doi.org/10.1007/11757375_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34306-6

  • Online ISBN: 978-3-540-34307-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics