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- noun mathematics A
partial orderover vectorsof real numbers
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Performance prediction algorithms Internet AQM/QoS Buffer sizing, majorization, QoS routing, finite buffer queue vs. infinite buffer queue and performance; Control theoretic framework for modeling of TCP and AQM schemes; Discrete mathematics to model buffer occupancy at queues of a network (given workloads); Game theoretic modeling of AQMs (mathematics to model selfish traffic); Fairness models (proportional fairness, max-min fairness, low state global fairness); Optimization framework for congestion control, fairness and utility maximization;
The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering.