Priority-biased compound arbitration at a switching fabric ingress. The ingress includes a plurality of ingress queues and a priority-biased arbitration engine configured to arbitrate between the ingress queues. The ingress further includes exit first-in-first-out queues (FIFOs) configured to forward cells from the ingress queues to a switching fabric and a throughput-biased arbitration engine configured to arbitrate between the exit FIFOs.