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Convexity Results for Parallel Queues with Bernoulli Routing
In this note, we derive various convexity and monotonicity properties of performance measures in parallel GI/GI/1 queues with Bernoulli routing. We then use these results to establish that the equilikely assignment is ...
Stochastic Convexity of Sums of I.I.D. Non-Negative Random Variables with Applications
We present some monotonicity and convexity properties for the sequence of partial sums associated with a sequence of non- negative independent identically distributed random variables. These results are applied to a system ...