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IEEE/ACM Transactions on Networking (TON)
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IEEE/ACM Transactions on Networking (TON)
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IEEE/ACM Transactions on Networking (TON)
Queueing at large resources driven by long-tailed M/G/\infty-modulated processes
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Overflow behavior in queues with many long-tailed inputs
Overflow behavior in queues with many long-tailed inputs
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Large deviations approximation for fluid queues fed by a large number of on/off sources
IEEE Journal on Selected Areas in Communications
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Simple models of network access, with applications to the design of joint rate and admission control
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IEEE/ACM Transactions on Networking (TON)
Many Sources Asymptotics for Networks with Small Buffers
Queueing Systems: Theory and Applications
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IEEE/ACM Transactions on Networking (TON)
Time-scale decomposition and equivalent rate-based marking
IEEE/ACM Transactions on Networking (TON)
Performance analysis of TCP/AQM with generalized AIMD under intermediate buffer sizes
Computer Networks: The International Journal of Computer and Telecommunications Networking
FluNet: A hybrid internet simulator for fast queue regimes
Computer Networks: The International Journal of Computer and Telecommunications Networking
Buffer overflow asymptotics for multiplexed regulated traffic
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SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
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This article focuses on a queue fed by a large number of “semi-Markov modulated fluid sources”, e.g., on/off sources with on and off-times that have general distributions. The asymptotic regime is considered in which the number of sources grows large, and the buffer and link rate are scaled accordingly. We aim at characterizing the exponential decay rate of the buffer overflow probability for the regime of small buffers. An insensitivity result is proven: the decay rate depends on the distributions of the on and off-times only through their means. The efficiency gain to be achieved by using small buffers is significant, as the decay rate grows fast: proportionally to the square root of the buffer size.