Rebalancing efficiency with optimal logical insertion locations

A computer readable memory device comprises:

• a first memory section that stores operational instructions that, when executed by a managing unit of a dispersed storage network (DSN), causes the managing unit to:
• determine an addition of a new storage unit to a group of storage units, wherein the DSN includes a logical address space that is divided into a set of logical address sub-spaces, wherein the group of storage units is allocation a logical address sub-space of the set of logical address sub-spaces, and the new storage unit and each storage unit in the group of storage units includes a plurality of memory devices;
• and
• reorganize distribution of the logical address sub-space among the new storage unit and each storage unit in the group of storage units to produce a reorganized logical address sub-space, wherein allocation of a first portion of the logical address sub-space is allocated to the new storage unit, wherein the first portion of the logical address sub-space is between second and third portions of the logical address sub-space, wherein the second portion of the logical address sub-space is allocated to a first storage unit of the group of storage units and the third portion of the logical address sub-space is allocated to a second storage units of the group of storage units;
• a second memory section that stores operational instructions that, when executed by the first storage unit, causes the first storage unit to:
• transfer a first group of encoded data slices to the new storage unit in accordance with the reorganized logical address sub-space;
• and
• a third memory section that stores operational instructions that, when executed by the second storage unit, causes the second storage unit to:
• transfer a second group of encoded data slices to the new storage unit in accordance with the reorganized logical address sub-space.