1/2 network capacity is often believed to be the limit of worst-case throughput for mesh networks. However, this paper provides a new worst-case throughput bound, which is higher than 1/2 network capacity, for odd radix two-dimensional mesh networks. In addition, we propose a routing algorithm called U2TURN that can achieve this worst-case throughput bound for odd radix meshes. For even radix meshes, we prove that U2TURN achieves the optimal worst-case throughput, namely, half of network capacity. U2TURN considers all routing paths with at most 2 turns and distributes the traffic loads uniformly in both X and Y dimensions. Theoretical analysis and simulation results show that U2TURN outperforms existing routing algorithms in worst-case throughput. Moreover, U2TURN achieves good average-throughput at the expense of approximately 1.5× minimal average hop count. For asymmetric meshes, we further propose an algorithm called “U2TURN-A” and provide theoretical analysis for different algorithms. Both theoretical analysis and simulation show that U2TURN and U2TURN-A outperform existing algorithms VAL, DOR and O1TURN in both worst-case and average throughput for asymmetric meshes.
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