Ergodic Annealing

The recent years and events lead to a massive development of content-oriented cloud services. The most popular and voluminous content o¤ered in today's networks are videos that must be e¢ ciently delivered to end customers. The objective of the service provider (root) is to optimize the delivery of content to its costumers (terminals). In this optimization problem the cost is usually assumed to be known (left graph). Yet, in reality it is often unknown because it depends on many stochastic factors, such as the tra¢ c on the network, the level of demand, and so on (right graph). Figure 1: Graphical representation of networks where information travels from a root to a set of terminals over channels with known or unknown cost.