Stability of adaptive and non-adaptive packet routing policies in adversarial queueing networks
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Instability of FIFO in session-oriented networks
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
The effects of temporary sessions on network performance
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Adaptive packet routing for bursty adversarial traffic
Journal of Computer and System Sciences - 30th annual ACM symposium on theory of computing
Journal of the ACM (JACM)
Universal-stability results and performance bounds for greedy contention-resolution protocols
Journal of the ACM (JACM)
Stability and non-stability of the FIFO protocol
Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
Stability of Adversarial Queues via Fluid Models
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Stability of Networks and Protocols in the Adversarial Queueing Model for Packet Routing
Stability of Networks and Protocols in the Adversarial Queueing Model for Packet Routing
Performance and stability bounds for dynamic networks
Journal of Parallel and Distributed Computing
Instability of FIFO in the permanent sessions model at arbitrarily small network loads
ACM Transactions on Algorithms (TALG)
The impact of network structure on the stability of greedy protocols
CIAC'03 Proceedings of the 5th Italian conference on Algorithms and complexity
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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).