We consider a model of Internet congestion control, introduced by Massoulié and Roberts, as an example of a stochastic network with resource sharing and a non-head-of -the-line service discipline. To describe the evolution of this system, we use a stochastic process that tracks the amount of service that has been given to each document that is still in the system and the time since the last arrival to each route. This is a Borel right process with a locally compact with countable base state space. It is shown that under mild assumptions, stability of a related fluid model for residual document sizes is sufficient for stability (positive Harris recurrence) of the Borel right proces
This paper treats transience for queueing network models by considering an associated fluid model. I...
Congestion control at bottleneck routers on the internet is a long standing problem. Many policies ...
Abstract: We derive decentralized and scalable stability conditions for a fluid approximation of a c...
We consider a stochastic model of Internet congestion control, introduced by Massoulie and Roberts [...
The design and analysis of congestion control mechanisms for modern data networks such as the Intern...
Abstract: The design and analysis of congestion control mechanisms for mod-ern data networks such as...
Rate allocation among a fixed set of end-to-end connections in the Internet is carried out by conges...
In the Internet, congestion control mechanisms such as TCP are required in order to provide useful s...
ABSTRACT. We introduce and study a new notion of stability of a stochastic fluid model in terms of r...
We consider a model of Internet congestion control that represents the randomly varying number of fl...
Abstract—Rate allocation among a fixed set of end-to-end con-nections in the Internet is carried out...
Since its inception, control of data congestion on the Internet has been based on stochas tic models...
Abstract. Congestion control at bottleneck routers on the internet is a long stand-ing problem. Many...
Under the assumption that queueing delays will eventually become small relative to prop-agation dela...
International audienceIn this paper, flow models of networks without congestion control are consider...
This paper treats transience for queueing network models by considering an associated fluid model. I...
Congestion control at bottleneck routers on the internet is a long standing problem. Many policies ...
Abstract: We derive decentralized and scalable stability conditions for a fluid approximation of a c...
We consider a stochastic model of Internet congestion control, introduced by Massoulie and Roberts [...
The design and analysis of congestion control mechanisms for modern data networks such as the Intern...
Abstract: The design and analysis of congestion control mechanisms for mod-ern data networks such as...
Rate allocation among a fixed set of end-to-end connections in the Internet is carried out by conges...
In the Internet, congestion control mechanisms such as TCP are required in order to provide useful s...
ABSTRACT. We introduce and study a new notion of stability of a stochastic fluid model in terms of r...
We consider a model of Internet congestion control that represents the randomly varying number of fl...
Abstract—Rate allocation among a fixed set of end-to-end con-nections in the Internet is carried out...
Since its inception, control of data congestion on the Internet has been based on stochas tic models...
Abstract. Congestion control at bottleneck routers on the internet is a long stand-ing problem. Many...
Under the assumption that queueing delays will eventually become small relative to prop-agation dela...
International audienceIn this paper, flow models of networks without congestion control are consider...
This paper treats transience for queueing network models by considering an associated fluid model. I...
Congestion control at bottleneck routers on the internet is a long standing problem. Many policies ...
Abstract: We derive decentralized and scalable stability conditions for a fluid approximation of a c...