Skip to main content

Speed Scaling

1995; Yao, Demers, Shenker

  • Reference work entry

Keywords and Synonyms

Speed scaling;  Voltage scaling;  Frequency scaling  

Problem Definition

Speed scaling is a power management technique in modern processor that allows the processor to run at different speeds. There is a power function P(s) that specifies the power, which is energy used per unit of time, as a function of the speed. In CMOS-based processors, the cube-root rule states that \( { P(s) \approx s^3 } \). This is usually generalized to assume that \( { P(s)=s^\alpha } \) form some constant α. The goals of power management are to reduce temperature and/or to save energy. Energy is power integrated over time. Theoretical investigations to date have assumed that there is a fixed ambient temperature and that the processor cools according to Newton's law, that is, the rate of cooling is proportional to the temperature difference between the processor and the environment.

In the resulting scheduling problems, the scheduler must not only have a job‐selection policy to determine the...

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   399.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Recommended Reading

  1. Albers, S., Fujiwara, H.: Energy‐efficient algorithms for flow time minimization. In: STACS. Lecture Notes in Computer Science, vol. 3884, pp. 621–633. Springer, Berlin (2006)

    Google Scholar 

  2. Bansal, N., Kimbrel, T., Pruhs, K.: Speed scaling to manage energy and temperature. J. ACM 54(1) (2007)

    Google Scholar 

  3. Bansal, N., Pruhs, K., Stein, C.: Speed scaling for weighted flow. In: ACM/SIAM Symposium on Discrete Algorithms, 2007

    Google Scholar 

  4. Pruhs, K., Uthaisombut, P., Woeginger, G.: Getting the Best Response for Your Erg. In: Scandanavian Workshop on Algorithms and Theory, 2004

    Google Scholar 

  5. Yao, F., Demers, A., Shenker, S.: A scheduling model for reduced CPU energy. In: IEEE Syposium on Foundations of Computer Science, 1995, p. 374

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Pruhs, K. (2008). Speed Scaling. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_390

Download citation

Publish with us

Policies and ethics