Inter-session Network Coding Research Articles

An Enforceable Incentive Scheme in Wireless Multi-path Inter-session Network Coding Game

There are some selfish nodes in wireless mesh networks multi-path inter-session network coding; and all selfish nodes maximize their earnings through the game. In this paper, a stimulus scheme is proposed which is suit for selfish nodes game in a multi-path inter-session network coding game. In the multi-path transmission, we use the watch dog checks the existence of selfish nodes. After selfish nodes are detected, we modified the multi-path protocols. For multi-path selfish nodes, we adopt non-cooperation method to punish it; and that the priority forwarding is used to active cooperation nodes. It is proved that Nash equilibrium is acquired for all players to obey the incentive scheme honestly. Experiments verify the theoretical analysis.

Control of Multi-Hop Communication Networks for Inter-Session Network Coding

This paper provides a solution to the question of how, when and where to perform inter-session network coding for a general network model both under wired and wireless conditions. In particular, an original queuing architecture and a dynamic routing-scheduling-coding strategy are introduced for serving multiple sessions when linear network coding is allowed across sessions. This policy provides a novel extension to the class of back-pressure policies by incorporating inter-session coding decisions via simple rules on the relevant queue-length levels. Despite the fact that the capacity region of inter-session coding is a challenging open problem, in this paper, we prove that our algorithm can support any set of rates in a nontrivial characterized region of achievable rates. In addition to its practical implications, this work also provides a theoretical framework in which the gains of inter-session network coding and pure routing can be compared.

Pairwise Intersession Network Coding on Directed Networks

When there exists only a single multicast session in a directed acyclic/cyclic network, the existence of a network coding solution is characterized by the classic min-cut/max-flow theorem. For the case of more than one coexisting sessions, network coding also demonstrates throughput improvement over noncoded solutions. This paper proposes pairwise intersession network coding, which allows for arbitrary directed networks but restricts the coding operations to being between two symbols (for acyclic networks) or between two strings of symbols (for cyclic networks). A graph-theoretic characterization of pairwise intersession network coding is proven based on paths with controlled edge-overlap. This new characterization generalizes the edge-disjoint path characterization of noncoded network communication and includes the well-studied butterfly graph as a special case. Based on this new characterization, various aspects of pairwise intersession network coding are studied, including the sufficiency of linear codes, the complexity of identifying coding opportunities, its topological analysis, and bandwidth- and coding-efficiency.

Rate Control With Pairwise Intersession Network Coding

In this paper, we develop a distributed rate-control algorithm for networks with multiple unicast sessions when network coding is allowed across different sessions. Building on recent flow-based characterization of pairwise intersession network coding, the corresponding optimal rate-control problem is formulated as a convex optimization problem. The formulation exploits pairwise coding possibilities between any pair of sessions, where any coded symbol is formed by coding over at most two original symbols. The objective function is the sum of the utilities based on the rates supported by each unicast session. Working on the Lagrangian of the formulated problem, a distributed algorithm is developed with little coordination among intermediate nodes. Each unicast session has the freedom to choose its own utility function. The only information exchange required by the source is the weighted sum of the queue length of each link, which can be piggybacked to the acknowledgment messages. In addition to the optimal rate-control algorithm, we propose a decentralized pairwise random coding scheme that decouples the decision of coding from that of rate control, which further enhances the distributiveness of the proposed scheme. The convergence of the rate-control algorithm is proven analytically and verified by extensive simulations. Simulation results also demonstrate the advantage of the proposed algorithm over the state-of-the-art in terms of both throughput and fairness.

Cross-layer optimization for wireless multihop networks with pairwise intersession network coding

For wireless multi-hop networks with unicast sessions, most coding opportunities involve only two or three sessions as coding across many sessions requires greater transmission power to broadcast the coded symbol to many receivers, which enhances interference. This work shows that with a new flow-based characterization of pairwise intersession network coding (coding across two unicast sessions), an optimal joint coding, scheduling, and rate-control scheme can be devised and implemented using only the binary XOR operation. The new scheduling/rate-control scheme demonstrates provably graceful throughput degradation with imperfect scheduling, which facilitates the design tradeoff between the throughput optimality and computational complexity of different scheduling schemes. Our results show that pairwise intersession network coding improves the throughput of non-coding solutions regardless of whether perfect/imperfect scheduling is used. Both the deterministic and stochastic packet arrivals and departures are considered. This work shows a striking resemblance between pairwise intersession network coding and non-coded solutions, and thus advocates extensions of non-coding wisdoms to their network coding counterpart.

Inter-Session Network Coding with Strategic Users: A Game-Theoretic Analysis of the Butterfly Network

A common assumption in the existing network coding literature is that the users are cooperative and non-selfish. However, this assumption can be violated in practice. In this paper, we analyze inter-session network coding in a wired network using game theory. We assume selfish users acting strategically to maximize their own utility, leading to a resource allocation game among users. In particular, we study the well-known butterfly network topology where a bottleneck link is shared by several network coding and routing flows. We prove the existence of a Nash equilibrium for a wide range of utility functions. We show that the number of Nash equilibria can be large (even infinite) for certain choices of system parameters. This is in sharp contrast to a similar game setting with traditional packet forwarding where the Nash equilibrium is always unique. We then characterize the worst-case efficiency bounds, i.e., the Price-of-Anarchy (PoA), compared to an optimal and cooperative network design. We show that by using a novel discriminatory pricing scheme which charges encoded and forwarded packets differently, we can improve the PoA. However, regardless of the discriminatory pricing scheme being used, the PoA is still worse than for the case when network coding is not applied. This implies that, although inter-session network coding can improve performance compared to ordinary routing, it is significantly more sensitive to users' strategic behaviour. For example, in a butterfly network where the side links have zero cost, the efficiency can be as low as 25%. If the side links have non-zero cost, then the efficiency can further reduce to only 20%. These results generalize the well-known result of guaranteed 67% worst-case efficiency for traditional packet forwarding networks.