Torus assignment for an interconnection network recursive diagonal torus

Recursive Diagonal Torus (RDT) is a class of interconnection network consisting of recursively overlaid two-dimensional square diagonal tori for massively parallel computers with up to 2¹⁶ nodes. Connection structures of the RDT vary according to the assignment of upper rank diagonal tori into a node. Although traditional simple assignment called RDT(2, 4, 1)/α shows enough performance under the uniform traffic, the congestion of low rank tori degrades the performance when local communication is dominant. In this paper, RDT(2, 4, 1)/β torus assignment is proposed, focusing on improving the performance for local communication. With a simplified simulation algorithm, results shows that RDT(2, 4, 1)/β improves the average distance compared with RDT(2, 4, 1)/α assignment when considering local area.