Instability of FIFO at arbitrarily low rates in the adversarial queueing model

Rajat Bhattacharjee; Ashish Goel; Zvi Lotker

doi:10.1137/s0097539703426805

Instability of FIFO at arbitrarily low rates in the adversarial queueing model

Rajat Bhattacharjee
, Ashish Goel
, Zvi Lotker

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We study the stability of the commonly used packet forwarding protocol, FIFO (first in first out), in the adversarial queueing model. We prove that FIFO can become unstable, i.e., lead to unbounded buffer-occupancies and queueing delays, at arbitrarily low injection rates. In order to demonstrate instability at rate r, we use a network of size Õ(1/r).

Original language	English
Pages (from-to)	318-332
Number of pages	15
Journal	SIAM Journal on Computing
Volume	34
Issue number	2
DOIs	https://doi.org/10.1137/s0097539703426805
State	Published - 2005
Externally published	Yes

Keywords

Adversarial queueing model
FIFO
Stability

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10.1137/s0097539703426805

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abstract = "We study the stability of the commonly used packet forwarding protocol, FIFO (first in first out), in the adversarial queueing model. We prove that FIFO can become unstable, i.e., lead to unbounded buffer-occupancies and queueing delays, at arbitrarily low injection rates. In order to demonstrate instability at rate r, we use a network of size {\~O}(1/r).",

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KW - Stability

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Instability of FIFO at arbitrarily low rates in the adversarial queueing model

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Keywords

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