New stability results for adversarial queuing

Zvi Lotker; Boaz Patt-Shamir; Adi Rosén

doi:10.1145/564870.564904

New stability results for adversarial queuing

Zvi Lotker, Boaz Patt-Shamir, Adi Rosén

Research output: Contribution to conference › Paper › peer-review

13 Scopus citations

Abstract

We consider the model of "adversarial queuing theory" for packet networks introduced by Borodin et al. [6]. We show that the scheduling protocol First-In-First-Out (FIFO) can be unstable at any injection rate larger than 1/2, and that it is always stable if the injection rate is no more than 1/d, where d is the length of the longest route used by any packet. We further show that every work-conserving (i.e., greedy) scheduling policy is stable if the injection rate is no more than 1/(d+1).

Original language	English
Pages	192-199
Number of pages	8
DOIs	https://doi.org/10.1145/564870.564904
State	Published - 2002
Externally published	Yes
Event	Fourteenth Annual ACM Symposium on Parallel Algorithms and Architectures - Winnipeg, MAN., Canada Duration: 10 Aug 2002 → 13 Aug 2002

Conference

Conference	Fourteenth Annual ACM Symposium on Parallel Algorithms and Architectures
Country/Territory	Canada
City	Winnipeg, MAN.
Period	10/08/02 → 13/08/02

Keywords

Adversarial queuing theory

Access to Document

10.1145/564870.564904

Cite this

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title = "New stability results for adversarial queuing",

abstract = "We consider the model of {"}adversarial queuing theory{"} for packet networks introduced by Borodin et al. [6]. We show that the scheduling protocol First-In-First-Out (FIFO) can be unstable at any injection rate larger than 1/2, and that it is always stable if the injection rate is no more than 1/d, where d is the length of the longest route used by any packet. We further show that every work-conserving (i.e., greedy) scheduling policy is stable if the injection rate is no more than 1/(d+1).",

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AB - We consider the model of "adversarial queuing theory" for packet networks introduced by Borodin et al. [6]. We show that the scheduling protocol First-In-First-Out (FIFO) can be unstable at any injection rate larger than 1/2, and that it is always stable if the injection rate is no more than 1/d, where d is the length of the longest route used by any packet. We further show that every work-conserving (i.e., greedy) scheduling policy is stable if the injection rate is no more than 1/(d+1).

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New stability results for adversarial queuing

Abstract

Conference

Keywords

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