Abstract: A tightly-coupled processor complex comprises two or more processors, the complex being asymmetric in that a feature available on one processor is not available on at least one other processor. A work selection mechanism selects one of a set of one or more ready work units, each capable of execution on one or more of the asymmetric processors. A processor set identification function identifies an "indirect idle" set of processors which can participate as hosts in work reassignment to make use of a previously idle processor, and identifies an "indirect bump" set of processors which can participate as hosts in work reassignment to displace a lowest priority work unit previously executing - any work reassignment being initiated by an assigner means and comprising an optimized number of work reassignment steps reassigning work among one of the processor sets to accomplish a related assignment goal (making use of a previously idle processor, or displacing a lowest priority work unit).