On the Variance Reduction Property of Buffered Leaky Bucket
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In this paper, we formalize the intuition that the Leaky Bucket (LB) smooths traffic. By sample path comparisons we show that the interdeparture times of the traffic through a LB are more even than the interarrival times of the original traffic in terms of majorization. We also prove that in steady state, the inter- departure time is smaller than the interarrival time in the sense of convex ordering. This leads to the conclusion that the coefficient of variation of the inter-departure time is smaller than that of the inter-arrival time.