A recursive solution to a bin-packing algorithm provides efficient allocation of computing or communications resources to resource consumers in a computer or network system. The algorithm determines resource requirement vectors for the consumers that specify amounts of multiple resource types required for each consumer, thereby forming a multi-dimensional bin-packing problem. The algorithm assigns the resource consumers to corresponding groups of computing or communication resources by recursively exploring partial solutions that assign the consumers to the groups by extending the partial solutions via recursion until the requirements in the resource requirement vectors are met. The bin-packing algorithm tests resource requirements vectors for remaining unassigned ones of the resource consumers for both assignment and non-assignment to a current individual group of computing or communications resources in a current partial solution until the current partial solution becomes a complete solution that satisfies the requirement vectors for the plurality of resource consumers.