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We study the effects of bursty Internet traffic through simulations. Both short-range dependency (SRD) traffic and long-range dependency (LRD) traffic are simulated over different burst parameters. The results are collected for 10 different 24 hour simulated periods in order to study and measure day-to-day statistical fluctuation. Effects of employing different traffic admission constraints are examined. An alternative for improving network throughput and utilization is proposed. Finally, a case when arrival patterns of traffic are correlated is explored.