Abstract-In a network, a node is said to incur a delay if its encoding of each transmitted symbol involves only its received symbols obtained before the time slot in which the transmitted symbol is sent (hence the transmitted symbol sent in a time slot cannot depend on the received symbol obtained in the same time slot). A node is said to incur no delay if its received symbol obtained in a time slot is available for encoding its transmitted symbol sent in the same time slot. Under the classical model, every node in the network incurs a delay. In this paper, we investigate the multimessage multicast network (MMN) under a generalized-delay model which allows some nodes to incur no delay. We obtain the capacity regions for three classes of MMNs with zero-delay nodes, namely, the deterministic network dominated by product distributions, the MMN consisting of independent DMCs, and the wireless erasure network. In addition, we show that for any MMN belonging to one of the above three classes, the set of achievable rate tuples under the generalized-delay model and under the classical model are the same, which implies that the set of achievable rate tuples for the MMN does not depend on the delay amounts incurred by the nodes in the network. Index Terms-Multimessage multicast network (MMN), zero-delay nodes, capacity region, cut-set bound, delayindependent.
In this work, we strengthen the main result in REF under our edge-delay model for the MMN with independent DMCs and show that the capacity region remains unchanged even when zero-delay edges are present.
Classes of Delay-Independent Multimessage Multicast Networks With Zero-Delay Nodes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Computer Science