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Burst reduction properties of rate-control throttles : departure process

Abstract : In this paper we study the departure processes of two rate-control throttles : the token bank and the leaky bucket. Using sample path methods and the notion of majorization, we analyze the effect that parameters such as the token buffezr capacity and token genration period have on the vector of interdeparture times. In the transient case, we establish the monotonicity of the burst reduction in the sense of the majorization. In the case that the departure process converges in coupling to a stationary and ergodic sequence, the transient comparison results allow us to establish the monotonicity of the stationary interdeparture times in the sense of the convex ordering. Comparisons between the two flow control shemes are also established when appropriate.
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Submitted on : Wednesday, May 24, 2006 - 3:45:23 PM
Last modification on : Friday, February 4, 2022 - 3:19:08 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 5:31:23 PM


  • HAL Id : inria-00074556, version 1



Zhen Liu, Don Towsley. Burst reduction properties of rate-control throttles : departure process. [Research Report] RR-2116, INRIA. 1993. ⟨inria-00074556⟩



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