Global asymptotic stability of max-min congestion control schemes
Ioannou, Petros A.
SourceIMA Journal of Mathematical Control and Information
Google Scholar check
MetadataShow full item record
A number of congestion control schemes which adopt the max-min fairness criterion and do not require maintenance of per flow states within the network have been proposed in the literature. The establishment of global asymptotic stability remains an open challenging research topic. In this paper, we show global asymptotic stability of two decentralized max-min congestion controllers in the absence and presence of queueing dynamics when the propagation delays are assumed to be zero. In particular, we show that these max-min congestion control schemes applied to a network of arbitrary topology, guarantee that the user sending rates converge asymptotically to the max-min allocation values for any arbitrary feasible initial condition. The second algorithm which accounts for queueing dynamics, typical in store and forward networks, does not only guarantee convergence of the sending rates to their max-min allocation values but also guarantees that the queue sizes within the network all converge to zero when there is only one bottleneck link at each path. © The authors 2015.
Showing items related by title, author, creator and subject.
Lestas, Marios; Pitsillides, Andreas; Ioannou, Petros A.; Hadjipollas, George (2011)Many congestion control protocols have been recently proposed in order to alleviate the problems encountered by TCP in high-speed networks and wireless links. Protocols utilizing an architecture that is in the same spirit ...
Chrysostomou, Chrysostomos; Pitsillides, Andreas; Hadjipollas, George; Sekercioglu, Y. Ahmet; Polycarpou, Marios M. (2003)This paper presents a new active queue management scheme, fuzzy explicit marking (FEM), implemented within the differentiated services (Diffserv) framework to provide the congestion control using a fuzzy logic control ...
A bio-inspired approach for streaming applications in wireless sensor networks based on the Lotka-Volterra competition model Antoniou, Pavlos Ch.; Pitsillides, Andreas (2010)In the new era of Ambient Intelligence, wireless sensor networks (WSNs) are seen to bridge the gap between physical world and the Internet, making a large amount of information accessible anywhere, anytime. Over the last ...