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Analysis of a feedback fluid model for heterogeneous TCP sources. (English) Zbl 1024.60040
The authors develop and solve a class of feedback fluid models with one source to analyze the transmission control protocol. The buffer sends negative feedback signals to the sources during overflow to reduce the sending rate and it sends positive signals to indicate that the sources can increase the rate. The stationary solution is expressed in closed form in terms of the eigenvalues and eigenvectors of a system of linear differential equations. When there are two sources, they provide a numerically efficient procedure to compute the solutions of the differential equations.

MSC:
60K25 Queueing theory (aspects of probability theory)
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