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Finite-state counterexamples to Ross's second queueing conjecture

Shmalo, Yitzchak
arXiv (All) · Papers
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probability
We construct finite-state Markov arrival-rate processes for which faster modulation increases the mean stationary workload of a stable single-server queue, disproving the universal ordering in Leskelä's formulation of Ross's second conjecture. A 64-state example has positive transition rates between
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