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Two queues with non-stochastic arrivals
Affiliation:Korteweg–de Vries Institute for Mathematics, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
Abstract:This article presents a paradigm where no stochastic assumptions are made on a queue’s arrival process. To this end, we study two queueing systems which exhibit a form of stability under an arbitrary arrival process. The first queueing system applies Blackwell’s Approachability Theorem and the second analyzes the Vacuum Cleaner Problem.
Keywords:Non-stochastic queueing  Regret minimization  Space-filling curve
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