A system provides efficient dispatch/completion of an N Dimensional (ND) Range command in a data processing system (DPS). The system comprises: a compiler generating one or more commands from received program instructions; ND Range work processing (WP) logic determining when a command generated by the compiler will be implemented over an ND configuration of operands, where N is greater than one (1); automatically decomposing the ND configuration of operands into a one (1) dimension (1D) work element comprising P sequentially ordered work items that each represent one of the operands; placing the 1D work element within a command queue of the DPS; enabling sequential dispatching of 1D work items in ordered sequence from to one or more processing units; and generating an ND Range output by mapping the 1D work output result to an ND position corresponding to an original location of the operand represented by the 1D work item.