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The coded caching scheme proposed by Maddah-Ali and Niesen (MAN) transmits coded multicast messages to users equipped with caches and it is known to be optimal within a constant factor. This work extends this caching scheme to two-hop relay networks with one main server with access to a library of N files, and H relays communicating with K users with cache, each of which is connected to a random subset of relays. This topology can be considered as a generalized version of a well-known family of networks, referred to as combination networks. Our approach is simply based on routing MAN packets through the network. The optimization of the routing can be formulated as a Linear Program. In addition, in order to reduce the computational complexity, a divide and conquer greedy algorithm is proposed to approach the linear program solution. Numerical simulations show that the proposed scheme outperforms the existing caching schemes for this class of networks.

Routing-Based Delivery in Combination-Type Networks with Random Topology