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Caching popular content in the storage of small cells is being considered asan efficient technique to complement limited backhaul of small cells inultra-dense heterogeneous cellular networks. Limited storage capacity of thesmall cells renders it important to determine the optimal set of files (cache)to be placed on each small cell. In contrast to prior works on optimal caching,in this work we study the effect of retransmissions on the optimal cacheplacement policy for both static and mobile user scenarios. With the popularityof files modeled as a Zipf distribution and a maximum n transmissions, i.e.,n-1 retransmissions, allowed to receive each file, we determine the optimalcaching probability of the files that maximizes the hit probability. Ourclosed-form optimal solutions concretely demonstrate that the optimal cachingprobabilities are very sensitive to the number of retransmissions.

Effect of Retransmissions on Optimal Caching in Cache-enabled Small Cell Networks