Fluid ApproximationGronwall's inequalityNon-negativityKendall formPoint-queue model is widely used in the dynamic user equilibrium (DUE) analysis in discrete-time or continuous-time form. In this paper, a conti
However, this should + give you a good starting point as you get to know your machine and tweak the settings for + your nefarious needs. + NOTE: Ensure one and only one of these DEFAULTS_XXX values is defined in config.h */ + +#ifndef defaults_h + + +#ifdef DEFAULTS_GENERIC + /...
switching point controlsfluid limitsWe review some recent work on fluid approximation of queueing network control problems and present new results. The relationship between the optimal control of a queueing network and the optimal control of the associated fluid model is investigated. A general theory,...
a fixed-point equation for the time-varying rate that fluid enters service and the solution of an ordinary differential equation for the time-varying head-of-line waiting time, during each overloaded interval.Simulations are conducted to confirm that the algorithm and the approximation are effective...
A multi-class single server queue under non-preemptive static buffer priority (SBP) service discipline is considered in this paper. Using a bounding technique, we obtain the fluid approximation for the queue length and busy time processes. Furthermore, we prove that the convergence rate of the ...
Simulations are conducted to confirm that the algorithm and the approximation are effective.Liu, YunanWhitt, WardQueueing SystemsLiu, Y., W. Whitt. 2012. The Gt/GI/st + GI many-server fluid queue. Queuei...
Large-deviations analysis of the fluid approximation for a controllable tandem queuedoi:10.1214/aoap/1069786504Alexander GairatArie HordijkAd Ridder
Guo Y J. Fluid approximation and its convergence rate for GI/G/1 queue with vacations[J].Acta Mathematicae Applicatae Sinica,2011,(01):4358.Yong-jiang Guo School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China.  Fluid Approximation and Its Convergence Rate ...
a fixed-point equation for the time-varying rate that fluid enters service and the solution of an ordinary differential equation for the time-varying head-of-line waiting time, during each overloaded interval.Simulations are conducted to confirm that the algorithm and the approximation are effective...
Simonian, Performance of an ATM multiplexer queue in the fluid approximation using the beneš approach, Annals of Operations Research 49 (1994) 137–160.B. Bensaou, J. Guibert, J. Roberts and A. Simonian, Performance of an ATM multiplexer queue in the fluid approximation using the benesˇ...