Dynamic Algorithms for Multicast With Intra-Session Network Coding

• Published in: IEEE transactions on information theory Vol. 55; no. 2; pp. 797 - 815
• Main Authors: Ho, T., Viswanathan, H.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Back pressure; Coding; Coding, codes; Communications networks; Computer networks; correlated sources; Correlation; Correlation analysis; Data transmission; Distributed algorithms; Dynamic scheduling; Exact sciences and technology; Heuristic algorithms; Information theory; Information, signal and communications theory; Multicast; Multicast algorithms; multihop; Network coding; Networks; Power control; Radiocommunications; Routing; Routing (telecommunications); Scheduling; Scheduling algorithm; Signal and communications theory; Stability; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitters; Transmitters. Receivers; Wireless networks; Wireless telecommunication; Resource allocation; Centralized system; Transmitter; Back pressure; multihop; Power allocation; Time variation; Data broadcast; Information dissemination; Multicast; Coding; Traffic control; network coding; Packet switching; Teletraffic; Routing; Scheduling; Multihop network; Queueing system; Power control; Traffic management; Distributed algorithm; correlated sources; Transmission rate; Resource management
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2008.2009809

The problem of multiple multicast sessions with intra-session network coding in time-varying networks is considered. The network-layer capacity region of input rates that can be stably supported is established. Dynamic algorithms for multicast routing, network coding, power allocation, session scheduling, and rate allocation across correlated sources, which achieve stability for rates within the capacity region, are presented. This work builds on the back-pressure approach introduced by Tassiulas , extending it to network coding and correlated sources. In the proposed algorithms, decisions on routing, network coding, and scheduling between different sessions at a node are made locally at each node based on virtual queues for different sinks. For correlated sources, the sinks locally determine and control transmission rates across the sources. The proposed approach yields a completely distributed algorithm for wired networks. In the wireless case, power control among different transmitters is centralized while routing, network coding, and scheduling between different sessions at a given node are distributed.