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ABSTRACT
We consider packet routing when packets are injected continuously into a network. We develop an adversarial theory of queuing aimed at addressing some of the restrictions inherent in probabilistic analysis and queuing theory based on time-invariant stochastic generation. We examine the stability of queuing networks and policies when the arrival process is adversarial, and provide some preliminary results in this direction. Our approach sheds light on various queuing policies in simple networks, and paves the way for a systematic study of queuing with few or no probabilistic assumptions.
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CITED BY 38
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Allan Borodin , Rafail Ostrovsky , Yuval Rabani, Stability preserving transformations: packet routing networks with edge capacities and speeds, Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms, p.601-610, January 07-09, 2001, Washington, D.C., United States
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Josep Díaz , Dimitrios Koukopoulos , Sotiris Nikoletseas , Maria Serna , Paul Spirakis , Dimitrios M. Thilikos, Stability and non-stability of the FIFO protocol, Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures, p.48-52, July 2001, Crete Island, Greece
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Matthew Andrews , Baruch Awerbuch , Antonio Fernández , Tom Leighton , Zhiyong Liu , Jon Kleinberg, Universal-stability results and performance bounds for greedy contention-resolution protocols, Journal of the ACM (JACM), v.48 n.1, p.39-69, Jan. 2001
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Michael A. Bender , Martin Farach-Colton , Simai He , Bradley C. Kuszmaul , Charles E. Leiserson, Adversarial contention resolution for simple channels, Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures, July 18-20, 2005, Las Vegas, Nevada, USA
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Alexander Kesselman , Yishau Mansour , Zvi Lotker , Boaz Patt-Shamir, Buffer overflows of merging streams, Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures, June 07-09, 2003, San Diego, California, USA
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