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We consider the problem of setting up a multicast connection of minimum cost using network coding. It is well-known that this can be posed in the form of a convex program. Our contribution is an asynchronous algorithm for solving the optimization problem, in analogy to the well-known distributed asynchronous Bellman-Ford algorithm for routing. Furthermore, we provide extensive simulation results showing...
We consider a wireless multi-hop network and design an algorithm for jointly optimal scheduling of packet transmissions and network coding. We consider network coding across different users, however with the restriction that packets have to be decoded after one hop. We compute the stability region of this scheme and propose an online algorithm that stabilizes every arrival rate vector within the stability...
We address the problem of maximizing the throughput for network coded multicast traffic in a wireless network in the bandwidth limited regime. For the joint scheduling and subgraph selection problem, we model valid network configurations as stable sets in an appropriately defined conflict graph. The problem formulation separates the combinatorial difficulty of scheduling from the arising optimization...
We consider the throughput-delay tradeoff in network coded transmission over erasure broadcast channels. Interested in minimizing decoding delay, we formulate the problem of instantly decodable network coding as an integer linear program and propose algorithms to solve it heuristically. In particular, we investigate channels with memory and propose algorithms that can exploit channel erasure dependence...
Whereas the theory and application of optimal network coding are well studied for the single-session multicast scenario, there is no known optimal network coding strategy for a more general connection problem where there are more than one session and receivers may demand different sets of information. Though there have been a number of recent studies that demonstrate various utilities of network coding...
Consider network coded multicast traffic over a wireless network in the bandwidth limited regime. We formulate the joint medium access and subgraph optimization problem by means of a graphical conflict model. The nature of network coded flows is not captured by classical link-based scheduling and therefore requires a novel approach based on conflicting hyperarcs. By means of simulations, we evaluate...
Achievable rates are derived for reliable communication in networks with multi-access interference. Capacity is established for some such networks. A network flow formulation is developed that includes rate gains and losses caused by correlating the multi-access channel inputs.
In this paper we consider the application of network coding to a multiple unicast setup. We present two suboptimal, yet practical code construction techniques. One consists of a linear program and the other of an integer program with fewer variables and constraints. We discuss the performance of the proposed techniques as well as their complexity
In this paper, we survey the application of linear network coding to a multiple unicasts scenario in directed graphs. We discuss related work concerning the complexity of the construction of capacity-achieving linear network codes. We briefly review the algebraic formulation of the problem and in the remainder of the paper, we investigate two approaches to construct network codes. One is based on...
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