A system and computer program product for controlling the allocation of shared resources. The system includes a next request priority module connected to a shared resource and to a plurality of requesters identified by requester identifiers. The next request priority module includes a pending request mechanism that prioritizes pending requests for the shared resource, a logging mechanism logging requester identifiers associated with previous grants to the shared resource, and next request priority logic. The next request priority logic accesses the next pending request to determine if it should be granted priority to the shared resource. The determining is responsive to logged requester identifiers and to the next requester identifier. Priority is granted to the shared resource to the next pending request in response to determining that the next pending request should be granted priority to the shared resource. The next requester identifier is logged in response to the granting.