Elements of information theory
Elements of information theory
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Constrained genetic algorithms and their applications in nonlinear constrained optimization
ICTAI '00 Proceedings of the 12th IEEE International Conference on Tools with Artificial Intelligence
An algebraic approach to network coding
IEEE/ACM Transactions on Networking (TON)
A Cross-Layer Optimization Framework for Multicast in Multi-hop Wireless Networks
WICON '05 Proceedings of the First International Conference on Wireless Internet
Wireless Communications & Mobile Computing - Special Issue on Ad Hoc Wireless Networks
Distributed optimization and flight control using collectives
Distributed optimization and flight control using collectives
On achieving maximum multicast throughput in undirected networks
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Minimum-cost multicast over coded packet networks
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Polynomial time algorithms for multicast network code construction
IEEE Transactions on Information Theory
A Random Linear Network Coding Approach to Multicast
IEEE Transactions on Information Theory
Min-Cost Selfish Multicast With Network Coding
IEEE Transactions on Information Theory
Network planning in wireless ad hoc networks: a cross-Layer approach
IEEE Journal on Selected Areas in Communications
Distributed utility maximization for network coding based multicasting: a shortest path approach
IEEE Journal on Selected Areas in Communications
Cross-layer designs in coded wireless fading networks with multicast
IEEE/ACM Transactions on Networking (TON)
A probability collectives approach with a feasibility-based rule for constrained optimization
Applied Computational Intelligence and Soft Computing
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We consider joint optimization of data routing and resource allocation in multicast multihop wireless networks where interference between links is taken into account. The use of network coding in such scenarios leads to a nonconvex optimization problem. By applying the probability collectives (PCs) technique the original problem is turned into a new problem which is convex over probability distributions. The resulting problem is then further decomposed into a data routing subproblem at network layer and a power allocation subproblem at physical layer in order to achieve a cross-layer distributed solution for the whole range of SINR values. The proposed approach is also extended to minimum cost multicast problems and routing problems based on multicommodity flow and single Steiner tree, resulting in new distributed algorithms for such problems.