1. A method comprising: controlling, by a control element, virtualization of a plurality of physical processors, a plurality of logical processors, and a plurality of logical partitions each including one or more of the logical processors, said control element operating to exclusively bind logical processors of logical partitions to physical processors, and wherein based on utilization, dispcyc, of a logical partition of the plurality of logical partitions being between a minimum, dispmin, for the logical partition utilization and a target, disptgt, for the logical partition utilization, the control element: undispatching a dispatched logical processor of the logical partition from a physical processor, based on the logical processor being in a WAIT state; and dispatching an undispatched logical processor of the logical partition to a physical processor, based on the logical processor not being in a WAIT state.