Monotonicity and convexity properties of rate control throttles

Monotonicity and convexity properties are presented of a system used for overload control in packet-switch communication networks known as a rate control throttle. The results are obtained by constructing and comparing sample paths of throttles under different control parameter settings to determine the influence the parameters have on throughputs and on congestion levels downstream of the throttle. All underlying stochastic processes are completely general. Comparisons are made regarding dynamic and steady state behavior of different throttles, giving insight into their design. The second-order properties developed are exploited to construct a stochastic optimization for design or dynamic control purposes.<<ETX>>

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