Abstract:Recent advances from the theory of multivariate stochastic orderings can be used to formalize the "folk theorem" to the effect that positive correlations lead to larger buffer levels at a discrete-time infinite capacity multiplexer queue. For instance, it is known that if the input traffic is larger than its independent version in the supermodular (sm) ordering, then their corresponding buffer contents are similarly ordered in the increasing convex (icx) ordering.A sufficient condition for the aforementioned s… Show more
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