This paper addresses elevator assignment in vertically-partially-connected 3-D-networks-on-chip (NoCs). Elevators are vertical links between dies. Because of yield issues, Through-Silicon-Via (TSV) cost, and heterogeneity in dimension, topology, and technology of different dies, vertically-partially-connected topologies seem unavoidable in the emerging 3-D-NoCs as opposed to fully-connected topologies. In such partially-connected topologies, as there are fewer elevators than routers, the assignment of elevators to routers becomes a new 3-D-specific optimization problem. An improper assignment can lead to dramatic network performance degradation. This paper proposes an elevator assignment method for best-effort wormhole 3-D-NoCs to improve the average network performance. Experimental results show an improvement of about 90% even compared to a greedy (intrinsically good) initial assignment.