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Network support for variable bit rate (VBR) video needs to consider (1) properties of workload induced (., signi®cant autocorrelations into far lags and heterogeneous marginal distributions), and (2) application-speci®c bounds on delay-jitter and statistical cell-loss probabilities. This chapter presents a quality-of-service (QoS) solution for such traf®c at each multiplexing point in a network. Heterogeneity in both-offered workload and quality-of-service requirements are considered. The network is assumed to be cell-switched with virtual circuits (VCs). | Self-Similar Network Traffic and Performance Evaluation Edited by Kihong Park and Walter Willinger Copyright 2000 by John Wiley Sons Inc. Print ISBN 0-471-31974-0 Electronic ISBN 0-471-20644-X 19 QUALITY OF SERVICE PROVISIONING FOR LONG-RANGE-DEPENDENT REAL-TIME TRAFFIC Abdelnaser Adas Conexant Inc. Newport Beach CA 92660 Amarnath Mukherjee Knoltex Corporation San Jose CA 95157 INTRODUCTION Overview Network support for variable bit rate VBR video needs to consider 1 properties of workload induced . significant autocorrelations into far lags and heterogeneous marginal distributions and 2 application-specific bounds on delay-jitter and statistical cell-loss probabilities. This chapter presents a quality-of-service QoS solution for such traffic at each multiplexing point in a network. Heterogeneity in both-offered workload and quality-of-service requirements are considered. The network is assumed to be cell-switched with virtual circuits VCs similar to that in ATM networks. Chapter 16 discusses an alternative approach for provisioning for long-range-dependent LRD traffic. See also the work of Heyman and Lakshman Chapter 12 and Li and Li C li t r 13 . Correlated Traffic and Its Implications Studies on a range of video applications indicate that there exists a slowly decaying autocorrelation structure in the underlying stochastic processes 3 7 8 12 19 21 . 481 482 QUALITY OF SERVICE PROVISIONING FOR LRD REAL-TIME TRAFFIC Providing guarantees on maximum-delay delay-jitter and cell-loss probabilities or some other measure of cell loss m the presence of such traffic is nontrivial especially if the coefficient of variation of the marginal distribution or the distribution tail is large. This is because such traffic significantly increases queue length statistics at a multiplexer 2 5 8 16-18 20 . As an illustration consider the performance of a finite-buffer queue. Let the arrival process be a fractionally differenced autoregressive moving average .

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