Broadband integrated networks
Improved loss calculations at an ATM multiplexer
IEEE/ACM Transactions on Networking (TON)
Effective bandwidths with priorities
IEEE/ACM Transactions on Networking (TON)
A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks
IEEE/ACM Transactions on Networking (TON)
Loss probability calculations and asymptotic analysis for finite buffer multiplexers
IEEE/ACM Transactions on Networking (TON)
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 2)-Volume - Volume 2
Application of network calculus to general topologies using turn-prohibition
IEEE/ACM Transactions on Networking (TON)
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
Stochastically bounded burstiness for communication networks
IEEE Transactions on Information Theory
A Min-Plus Calculus for End-to-End Statistical Service Guarantees
IEEE Transactions on Information Theory
On the use of fractional Brownian motion in the theory of connectionless networks
IEEE Journal on Selected Areas in Communications
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In this paper, we demonstrate that traffic modeling with the fractional Brownian motion (FBM) process is an efficient tool for end-to-end performance analysis over a network provisioning differentiated services (DiffServ). The FBM process is a parsimonious model involving only three parameters to describe the Internet traffic showing the property of self-similarity or long-range dependence (LRD). As a foundation for network-wide performance analysis, the FBM modeling can significantly facilitate the single-hop performance analysis. While accurate FBM based queueing analysis for an infinite/finite first-in-first-out (FIFO) buffer is available in the existing literature, we develop a generic FBM based analysis for multiclass single-hop analysis where both inter-buffer priority and intra-buffer priority are used for service differentiation. Moreover, we present both theoretical and simulation studies to reveal the preservation of the self-similarity, when the traffic process is multiplexed or randomly split, or goes through a queueing system. It is such self-similar preservation that enables the concatenation of FBM based single-hop analysis into a network-wide performance analysis.