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We consider a basic caching system, where a single server with a database of$N$ files (e.g. movies) is connected to a set of $K$ users through a sharedbottleneck link. Each user has a local cache memory with a size of $M$ files.The system operates in two phases: a placement phase, where each cache memoryis populated up to its size from the database, and a following delivery phase,where each user requests a file from the database, and the server isresponsible for delivering the requested contents. The objective is to designthe two phases to minimize the load (peak or average) of the bottleneck link.We characterize the rate-memory tradeoff of the above caching system within afactor of $2.00884$ for both the peak rate and the average rate (under uniformfile popularity), improving state of the arts that are within a factor of $4$and $4.7$ respectively. Moreover, in a practically important case where thenumber of files ($N$) is large, we exactly characterize the tradeoff forsystems with no more than $5$ users, and characterize the tradeoff within afactor of $2$ otherwise. To establish these results, we develop two newconverse bounds that improve over the state of the art.

Characterizing the Rate-Memory Tradeoff in Cache Networks within a Factor of 2