Balanced allocation of multiple resources, or of multiple resources from multiple providers

A system calculates the optimal allocation of two or more resources provided by a resource provider to a task within a computer system from a plurality of possible allocations. In doing so, the system calculates the total volume of an N-dimensional cube, where N is the number of resources provided by the resource provider, representing the respective amounts of resources available to be allocated. The system also calculates the average volume of the N-1 dimensional shapes forming the sides of the N-dimensional cube. The system then calculates, at least partly from the ratio of the total volume to the average volume, the balance resulting from the allocation of resources represented by the N-dimensional cube. The system then calculates the imbalance resulting from the allocation of resources at least partly from the balance and determines the smallest imbalance as the optimal allocation of resources.