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Issue No.04 - April (1995 vol.6)
pp: 436-440
ABSTRACT
<p><it>Abstract—</it>In this paper, we give two algorithms for the 1-1 routing problems on a mesh-connected computer. The first algorithm, with queue size 28, solves the 1-1 routing problem on an $<tmath>n\times n</tmath>$ mesh-connected computer in $<tmath>2n+O(1)</tmath>$ steps. This improves the previous queue size of $<tmath>75</tmath>$. The second algorithm solves the 1-1 routing problem in $<tmath>2n-2</tmath>$ steps with queue size $<tmath>12t_s/s</tmath>$ where $<tmath>t_s</tmath>$ is the time for sorting an $<tmath>s\times s</tmath>$ mesh into a row major order for all $<tmath>s\geq 1</tmath>$. This result improves the previous queue size $<tmath>18.67t_s/s</tmath>$.</p><p><it>Index Terms—</it>Parallel algorithms, mesh-connected computer, packet routing, queue size, time complexity.</p>
CITATION
Qian-Ping Gu, Jun Gu, "Two Packet Routing Algorithms on a Mesh-Connected Computer", IEEE Transactions on Parallel & Distributed Systems, vol.6, no. 4, pp. 436-440, April 1995, doi:10.1109/71.372798
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