Queueing Systems: Theory and Applications
A credit manager for traffic regulation in high-speed networks: a queueing analysis
IEEE/ACM Transactions on Networking (TON)
A large family of semi-classical polynomials: the perturbed Chebyshev
Proceedings of the fourth international symposium on Orthogonal polynomials and their applications
Burst reduction properties of rate-control throttles: downstream queue behavior
IEEE/ACM Transactions on Networking (TON)
On the performance behavior of ATM end-stations
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 1)-Volume - Volume 1
Joint Distributions for Interacting Fluid Queues
Queueing Systems: Theory and Applications
Simple models of network access, with applications to the design of joint rate and admission control
Computer Networks: The International Journal of Computer and Telecommunications Networking
Models of Network Access Using Feedback Fluid Queues
Queueing Systems: Theory and Applications
STOCHASTIC DISCRETIZATION FOR THE LONG-RUN AVERAGE REWARD IN FLUID MODELS
Probability in the Engineering and Informational Sciences
On/off Storage Systems with State-Dependent Input, Output, and Switching Rates
Probability in the Engineering and Informational Sciences
Continuous feedback fluid queues
Operations Research Letters
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We consider a single-server queueing system with Poisson arrivals in which the speed of the server depends on whether an associated fluid reservoir is empty or not. Conversely, the rate of change of the content of the reservoir is determined by the state of the queueing system, since the reservoir fills during idle periods and depletes during busy periods of the server. Our interest focuses on the stationary joint distribution of the number of customers in the system and the content of the fluid reservoir, from which various performance measures such as the steady-state sojourn time distribution of a customer may be obtained. We study two variants of the system. For the first, in which the fluid reservoir is infinitely large, we present an exact analysis. The variant in which the fluid reservoir is finite is analysed approximatively through a discretization technique. The system may serve as a mathematical model for a traffic regulation mechanism – a two-level traffic shaper – at the edge of an ATM network, regulating a very bursty source. We present some numerical results showing the effect of the mechanism.