Optimal Congestion Control and Routing for Multipath Networks with Random Losses
Volume 26, Issue 2 (2015), pp. 313–334
Pub. online: 1 January 2015
Type: Article
Received
1 September 2012
1 September 2012
Accepted
1 April 2014
1 April 2014
Published
1 January 2015
1 January 2015
Abstract
Abstract
In this paper we consider optimal congestion control and routing schemes for multipath networks with non-congestion related packet losses which can be caused by, for example, errors on links on the routes, and develop a relaxed multipath network utility maximization problem. In order to obtain the optimum, we present a primal algorithm which is shown to be globally stable in the absence of round-trip delays. When round-trip delays are considered, decentralized sufficient conditions for local stability of the algorithm are proposed, in both continuous-time and discrete-time forms. Finally, a window-flow control mechanism is presented which can approximate the optimum of the multipath network utility maximization model.