Weighted random oblivious routing on torus networks

Torus, mesh, and flattened butterfly networks have all been considered as candidate architectures for on-chip interconnection networks. In this paper, we study the problem of optimal oblivious routing for one of these architecture classes, namely, the torus network. We introduce a new closed-form oblivious routing algorithm called W2TURN that is worstcase throughput optimal for 2D-torus networks. W2TURN is based on a weighted random selection of paths that contain at most two turns. Restricting the maximum number of turns in routing paths to just two results in a simple deadlock-free implementation of W2TURN. In terms of average hop count, W2TURN outperforms the best previously known closed-form worst-case throughput optimal routing algorithm called IVAL [14]. We also provide another routing algorithm based on the weighted random selection of paths with at most two turns called I2TURN and show that it is equivalent to IVAL. However, I2TURN eliminates the need for loop removal at runti...

• Type: Journal
• Year: 2009
• Where: ANCS
• Authors: Rohit Sunkam Ramanujam, Bill Lin
• Keywords: ANCS 2009, Average Hop Count, Computer Networks, Routing Algorithm, Weighted Random Selection