A data processing system includes a processing pipeline for the parallel execution of a plurality of threads. An issue controller issues threads to the processing pipeline. A stall manager controls the stalling and unstalling of threads when a cache miss occurs within a cache memory. The issue controller issues the threads to the processing pipeline in accordance with both a main sequence and a pilot sequence. The pilot sequence is followed such that threads within the pilot sequence are issued at least a given time ahead of their neighbors within a main sequence. The given time corresponds approximately to the latency associated with a cache miss. The threads may be arranged in groups corresponding to blocks of pixels for processing within a graphics processing unit.