A control unit for a graphics accelerator. The control unit includes a plurality of processing pipelines, a memory (configured to store an allocation table) and a context management unit. The context management unit is configured to: (a) receive a graphics command, (b) decode a process identifier from input data provided in or with the graphics command, wherein the process identifier corresponds to one of a plurality of host processes executing on one or more central processing units external to the graphics accelerator, and (c) identify an entry E in the allocation table that corresponds to the process identifier. In response to a first set of conditions, the context management unit is further configured to: (d) reassign ownership of a first of the processing pipelines from a first active entry of the allocation table to the entry E, and (e) send the graphics command to the first processing pipeline.