Controlled partition shut-down is provided within a shared memory partition data processing system including a shared memory partition, a paging service partition, a hypervisor and a shared memory pool within physical memory. The hypervisor manages access to logical pages within the pool and page-out of pages from the pool to external paging storage via the paging service partition. A respective paging service stream exists between the paging service partition and hypervisor for each shared memory partition, with each stream including a stream state. The control method includes: responsive to a shut-down initiating event, notifying the paging service partition to shut down, and determining whether a shared memory partition is currently active, and if so, signaling the hypervisor to complete paging activity for the active memory partition and waiting for its stream state to enter a suspended or a completed state before automatically shutting down the paging service partition.