A logistic queue model for network traffic modeling and simulation

Abstract

In this work we present a continuous queuing model called the logistic queue model. We show that in terms of queue size and outflow prediction, our model is as precise as a discrete event simulator with the additional advantage of speed in simulations. We prove mathematically that our proposed model has all the theoretical properties one should expect, e.g. positivity of queue, FIFO property. Finally, in contrast with other continuous models Vickrey s point-queue model our model can be easily integrated numerically and moreover it allow us to naturally explore multiple extensions relevant to telecommunication networks such as: finite queues, multiple servers, priority queues, etc.