Ratio between average sojourn times under processor sharing and fair sojourn protocol

  • Authors:
  • Yingdong Lu

  • Affiliations:
  • Ibm t.j.watson research center, yorktown heights, ny 10598 e-mail: yingdong@us.ibm.com

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2010

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Abstract

Under very general assumptions, we prove that the ratio between the average sojourn time in a queue under the processor sharing (PS) and the same queue under the fair sojourn protocol (FSP) can be bounded above, and we derive such a bound in terms of the long-run average system size of the PS queue seen by arrivals.