Models of Network Access Using Feedback Fluid Queues
A single point in the access network which multiplexes several bursty users is considered, who adapt their sending rates based on feedback from the access multiplexer, and two feedback schemes are proposed.
Large Deviations for Gaussian Queues: Modelling Communication Networks
- M. Mandjes
- Computer Science, Mathematics
- 5 June 2007
This work focuses on Gaussian traffic utility as a function of loss, and on the model and preliminaries used to evaluate the applicability of Gaussian source models for network traffic.
Large Deviations for Gaussian Queues
- M. Mandjes
- 20 April 2007
Large Deviations for Performance Analysis: Queues, Communications, and Computing , Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995).
- M. Mandjes
- Computer ScienceProbability in the engineering and informational…
- 1 October 1996
Adam Shwartz and Alan Weiss have succeeded in finding the right balance between demanding mathematics and accessibility of the text: they put together a thorough analytical treatment of LD and, on the other hand, applications to relevant performance issues in communications.
Bandwidth-sharing networks under a diffusion scaling
This paper considers networks operating under α-fair bandwidth sharing and identifies the equilibrium point of the fluid limit, which allows an explicit characterization of the correlations between the number of flows of the various classes.
Exact overflow asymptotics for queues with many Gaussian inputs
This paper considers a queue fed by a large number of independent continuous-time Gaussian processes with stationary increments and considers both the stationary overflow probability and the (transient) probability of overflow at a finite time horizon.
Optimized appointment scheduling
Large Deviations for Small Buffers: An Insensitivity Result
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, and characterizes the exponential decay rate of the buffer overflow probability for the regime of small buffers.
Multiplexing regulated traffic streams: design and performance
- K. Kumaran, M. Mandjes
- Computer ScienceProceedings IEEE INFOCOM . Conference on Computer…
- 22 April 2001
A novel approach to the problem of evaluating the performance of multiple classes of traffic, each with distinct characteristics and QoS requirements, based on optimal resource (bandwidth and buffer) partitioning is described.
Tandem Brownian queues
A two-node tandem queue with Brownian input is analyzed and an explicit expression for the joint distribution function of the workloads of the first and second queue is derived, which allows us to calculate their exact large-buffer asymptotics.