Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
Diffusion of the push-out buffer management policy
IEEE INFOCOM '92 Proceedings of the eleventh annual joint conference of the IEEE computer and communications societies on One world through communications (Vol. 1)
Transient behaviour of queueing systems with correlated traffic
Performance Evaluation
Diffusion based statistical call admission control in ATM
Performance Evaluation
On Approximate Computer System Models
Journal of the ACM (JACM)
Algorithm 486: Numerical inversion of Laplace transform [D5]
Communications of the ACM
Algorithm 368: Numerical inversion of Laplace transforms [D5]
Communications of the ACM
A Tool to Model Network Transient States with the Use of Diffusion Approximation
TOOLS '98 Proceedings of the 10th International Conference on Computer Performance Evaluation: Modelling Techniques and Tools
Diffusion models to study nonstationary traffic and cell loss in ATM networks
Proceedings of the Second IFIP Workshop on Performance Modelling and Evaluation of ATM Networks: ATM Networks, Performance Modelling and Analysis, Volume 1
Diffusion models of leaky bucket and partial buffer sharing policy: transient analysis
Proceedings of the IFIP TC6 WG6.3/WG6.4 Fourth International Workshop on ATM Networks, Performance Modelling and Analysis, Volume 3
Selection of Coefficients for a Diffusion-Equation Model of Multi-Server Queue
Performance '84 Proceedings of the Tenth International Symposium on Computer Performance Modelling, Measurement and Evaluation
Transient States of Priority Queues - A Diffusion Approximation Study
AICT '09 Proceedings of the 2009 Fifth Advanced International Conference on Telecommunications
Accuracy of the diffusion approximation for some queuing systems
IBM Journal of Research and Development
A diffusion approximation model for wireless networks based on IEEE 802.11 standard
Computer Communications
Stability and dynamics of TCP-NCR(DCR) protocol in presence of UDP flows
Proceedings of the Third international EURO-NGI network of excellence conference on Wireless systems and mobility in next generation internet
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Diffusion theory is already a vast domain of knowledge. This tutorial lecture does not cover all results; it presents in a coherent way an approach we have adopted and used in analysis of a series of models concerning evoluation of some traffic control mechanisms in computer, especially ATM, networks. Diffusion approximation is presented from engineer's point of view, stressing its utility and commenting numerical problems of its implementation. Diffusion approximation is a method to model the behavior of a single queueing station or a network of stations. It allows one to include in the model general sevice times, general (also correlated) input streams and to investigate transient states, which, in presence of bursty streams (e.g. of multimedia transfers) in modern networks, are of interest.