New stability results for adversarial queuing

Zvi Lotker, Boaz Patt-Shamir, Adi Rosén

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We consider the model of "adversarial queuing theory" for packet networks introduced by Borodin et al. [J. ACM. 48 (2001). pp. 13-38]. 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 less 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 less than 1/(d + 1).

Original languageEnglish
Pages (from-to)286-303
Number of pages18
JournalSIAM Journal on Computing
Volume33
Issue number2
DOIs
StatePublished - 1 Jan 2004
Externally publishedYes

Keywords

  • Adversarial queuing theory
  • Lower bounds
  • Network protocols
  • Stability

ASJC Scopus subject areas

  • Computer Science (all)
  • Mathematics (all)

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