Queueing Systems: Theory and Applications
Broadband integrated networks
Conditioned asymptotics for tail probabilities in large multiplexers
Performance Evaluation
Analysis of a single-server queue interacting with a fluid reservoir
Queueing Systems: Theory and Applications
Large Deviations for Small Buffers: An Insensitivity Result
Queueing Systems: Theory and Applications
Models of Network Access Using Feedback Fluid Queues
Queueing Systems: Theory and Applications
Resource pricing and the evolution of congestion control
Automatica (Journal of IFAC)
IEEE Journal on Selected Areas in Communications
Feedback-based flow control of B-ISDN/ATM networks
IEEE Journal on Selected Areas in Communications
Continuous feedback fluid queues
Operations Research Letters
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At the access to networks, in contrast to the core, distances and feedback delays, as well as link capacities are small, which has network engineering implications that are investigated in this paper. We consider a single point in the access network which multiplexes several bursty users. The users adapt their sending rates based on feedback from the access multiplexer. Important parameters are the user's peak transmission rate p, which is the access line speed, the user's guaranteed minimum rate r, and the bound ε on the fraction of lost data.Two feedback schemes are proposed. In both schemes the users are allowed to send at rate p if the system is relatively lightly loaded, at rate r during periods of congestion, and at a rate between r and p, in an intermediate region. For both feedback schemes we present an exact analysis, under the assumption that the users' job sizes and think times have exponential distributions. We use our techniques to design the schemes jointly with admission control, i.e., the selection of the number of admissible users, to maximize throughput for given p, r, and ε. Next we consider the case in which the number of users is large. Under a specific scaling, we derive explicit large deviations asymptotics for both models. We discuss the extension to general distributions of user data and think times.