Analysis of Impact on Random Packet Losses in Congestion Control: Explicit Form

This paper studies a set of transport equations arising from stochastic models in congestion control. First, we introduce a general framework including both of mixed and extended Markovian loss models. Then we show that there is a unique density solving the general differential equation. For the first time, we provide an explicit form expression for this density and for its mean value. We propose a novel approach to solve a class of associated differential equations.