Equilibria of a class of transport equations arising in congestion control
Queueing Systems: Theory and Applications
Transient behavior of processes in the tcp paradigm
Probability in the Engineering and Informational Sciences
| Hi-index | 0.00 |
We consider piecewise-deterministic Markov processes that occur as scaling limits of discrete-time Markov chains that describe the Transmission Control Protocol (TCP). The class of processes allows for general increase and decrease profiles. Our key observation is that stationary results for the general class follow directly from the stationary results for the idealized TCP process. The latter is a Markov process that increases linearly and experiences downward jumps at times governed by a Poisson process. To establish this connection, we apply space---time transformations that preserve the properties of the class of Markov processes.