Abstract: A method includes forecasting demand for media content items of a media distribution system based on historical demand information to generate forecasted demand. The method includes generating a mixed integer program model based on storage constraints of a plurality of distribution nodes of the media distribution system, bandwidth constraints of the media distribution system, and the forecasted demand. The method includes performing a Lagrangian relaxation operation using the mixed integer program model. The method includes determining values of a cost function based on a result of the Lagrangian relaxation operation. The method includes assigning each of the media content items to a corresponding distribution node of the plurality of distribution nodes based on the cost function and the forecasted demand.

Abstract: A method includes forecasting demand for media content items of a media distribution system based on historical demand information to generate forecasted demand. The method includes generating a mixed integer program model based on storage constraints of a plurality of distribution nodes of the media distribution system, bandwidth constraints of the media distribution system, and the forecasted demand. The method includes performing a Lagrangian relaxation operation using the mixed integer program model. The method includes determining values of a cost function based on a result of the Lagrangian relaxation operation. The method includes assigning each of the media content items to a corresponding distribution node of the plurality of distribution nodes based on the cost function and the forecasted demand.

Abstract: A method includes receiving data identifying new media content items to be added to a media distribution system that provides media content on demand to a plurality of endpoints. The media distribution system includes a plurality of distribution nodes, and each of the distribution nodes is coupled to a subset of the endpoints. Historical demand is determined during a particular time period for existing media content items that include content available via at least one of the distribution nodes before the data was received. The method includes forecasting demand for media content items, including new media content items and existing media content items, based on the historical demand. Each media content item is assigned to, and stored at, at least one corresponding distribution node based at least partially on a cost function and the forecasted demand.

Abstract: A method includes receiving data identifying new media content items to be added to a media distribution system that provides media content on demand to a plurality of endpoints. The media distribution system includes a plurality of distribution nodes, and each of the distribution nodes is coupled to a subset of the endpoints. Historical demand is determined during a particular time period for existing media content items that include content available via at least one of the distribution nodes before the data was received. The method includes forecasting demand for media content items, including new media content items and existing media content items, based on the historical demand. Each media content item is assigned to, and stored at, at least one corresponding distribution node based at least partially on a cost function and the forecasted demand.