Koomey's law

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Computations per KWh, from 1946 to 2009

Koomey’s law describes a long-term trend in the history of computing hardware. The number of computations per joule of energy dissipated has been doubling approximately every 1.57 years. This trend has been remarkably stable since the 1950s (R2 of over 98%) and has actually been somewhat faster than Moore’s law. Jonathan Koomey articulated the trend as follows: "at a fixed computing load, the amount of battery you need will fall by a factor of two every year and a half."[1]


Implications[edit]

The implications of Koomey’s law are that the amount of battery needed for a fixed computing load will fall by a factor of 100 every decade.[2] As computing devices become smaller and more mobile, this trend may be even more important than improvements in raw processing power for many applications. Furthermore, energy costs are becoming an increasing factor in the economics of data centers, further increasing the importance of Koomey’s law.

History[edit]

Koomey was the lead author of the article in IEEE Annals of the History of Computing that first documented the trend.[1] At about the same time, Koomey published a short piece about it in IEEE Spectrum.[3]

It was further discussed in MIT Technology Review,[4] and in a post on the “Economics of Information” blog,[2] and at The Economist online.[5]

The end of Koomey's law[edit]

By the second law of thermodynamics and Landauer's principle, irreversible computing cannot continue to be made more energy efficient forever. As of 2011, computers have a computing efficiency of about 0.00001%.[6] Assuming that the energy efficiency of computing will continue to double every 1.57 years, the Landauer bound will be reached in 2048. After that, the law could no longer hold.

With reversible computing, however, Landauer's principle is not applicable. With reversible computing, though, computational efficiency is still bounded by the Margolus–Levitin theorem. By the theorem, Koomey's law has the potential to be valid for about 125 years.

See also[edit]

References[edit]

  1. ^ a b Koomey, Jonathan; Berard, Stephen; Sanchez, Marla; Wong, Henry; (March 29, 2010). "Implications of Historical Trends in the Electrical Efficiency of Computing]". IEEE Annals of the History of Computing 33 (3): 46−54. doi:10.1109/MAHC.2010.28. ISSN 1058-6180. 
  2. ^ a b Is Koomey's Law eclipsing Moore's Law?
  3. ^ Koomey J. G. (26 Feb 2010), "Outperforming Moore's Law", IEEE Spectrum.
  4. ^ Greene, Kate (September 12, 2011). "A New and Improved Moore's Law". MIT Technology Review. 
  5. ^ "Computing power - A deeper law than Moore's?", The Economist online (October 10, 2011)
  6. ^ "Tikalon Blog by Dev Gualtieri". Tikalon.com. Retrieved 2 July 2015. 

Further reading[edit]