A data processing system includes a plurality of local hubs each coupled to a remote hub by a respective one a plurality of point-to-point communication links. Each of the plurality of local hubs queues requests for access to memory blocks for transmission on a respective one of the point-to-point communication links to a shared resource in the remote hub. Each of the plurality of local hubs transmits requests to the remote hub utilizing only a fractional portion of a bandwidth of its respective point-to-point communication link. The fractional portion that is utilized is determined by an allocation policy based at least in part upon a number of the plurality of local hubs and a number of processing units represented by each of the plurality of local hubs. The allocation policy prevents overruns of the shared resource.