New Stability Results for Adversarial Queuing

  • Authors:
  • Zvi Lotker;Boaz Patt-Shamir;Adi Rosén

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2004

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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).