Towards Stability Analysis of Data Transport Mechanisms: A Fluid Model and Its Applications

The Transmission Control Protocol (TCP) utilizes congestion avoidance and control mechanisms as a preventive measure against congestive collapse an adaptive in the presence of changing network conditions. set available algorithms is diverse, while many have been studied from empirical simulation perspectives, there notable lack analytical work for some variants. To gain more insight into dynamics these algorithms, we: (1) propose general modeling scheme consisting functional differential equations retarded type (RFDEs) window function time; (2) apply this to TCP Reno demonstrate its equivalence previous, well known model Reno; (3) show application new framework widely-deployed algorithm CUBIC, which models are few limited; (4) validate using simulations. Our yields fluid CUBIC. From theoretical analysis model, we discover that CUBIC locally uniformly asymptotically stable -- property previously unknown.