Adversarial queueing network

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In queueing theory, an adversarial queueing network is a model where the traffic to the network is supplied by an opponent rather than as the result of a stochastic process.

History

The model was first introduced in 1996.^[1]

The model has seen use in describing the impact of packet injections on the performance of communication networks.^[2]

The stability of an adversarial queueing network can be determined by considering a fluid limit.^[3]

References

^ Borodin, A.; Kleinberg, J.; Raghavan, P.; Sudan, M.; Williamson, D. P. (1996). "Adversarial queueing theory". Proceedings of the twenty-eighth annual ACM symposium on Theory of computing – STOC '96. p. 376. doi:10.1145/237814.237984. ISBN 0897917855. S2CID 771941.
^ Sethuraman, J.; Teo, C. P. (2003). "Effective Routing and Scheduling in Adversarial Queueing Networks". Approximation, Randomization, and Combinatorial Optimization.. Algorithms and Techniques (PDF). Lecture Notes in Computer Science. Vol. 2764. p. 153. doi:10.1007/978-3-540-45198-3_14. ISBN 978-3-540-40770-6.
^ Gamarnik, D. (1998). "Stability of adversarial queues via fluid models". Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280). pp. 60–70. doi:10.1109/SFCS.1998.743429. ISBN 0-8186-9172-7. S2CID 2145524.

v t e Queueing theory
Single queueing nodes	D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation Fork–join queue Bulk queue
Arrival processes	Poisson point process Markovian arrival process Rational arrival process
Queueing networks	Jackson network Traffic equations Gordon–Newell theorem Mean value analysis Buzen's algorithm Kelly network G-network BCMP network
Service policies	FIFO LIFO Processor sharing Round-robin Shortest job next Shortest remaining time
Key concepts	Continuous-time Markov chain Kendall's notation Little's law Product-form solution Balance equation Quasireversibility Flow-equivalent server method Arrival theorem Decomposition method Beneš method
Limit theorems	Fluid limit Mean-field theory Heavy traffic approximation Reflected Brownian motion
Extensions	Fluid queue Layered queueing network Polling system Adversarial queueing network Loss network Retrial queue
Information systems	Data buffer Erlang (unit) Erlang distribution Flow control (data) Message queue Network congestion Network scheduler Pipeline (software) Quality of service Scheduling (computing) Teletraffic engineering
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