Sciweavers

Share
IPPS
2005
IEEE

Optimal Oblivious Path Selection on the Mesh

8 years 10 months ago
Optimal Oblivious Path Selection on the Mesh
— In the oblivious path selection problem, each packet in the network independently chooses a path, which is an important property if the routing algorithm is to be independent of the traffic distribution. The quality of the paths is determined by the congestion C, the maximum number of paths crossing an edge, and the dilation D, the maximum path length. So far, the oblivious algorithms studied in the literature have focused on minimizing the congestion while ignoring the dilation. An open problem is to give algorithms for networks in which C and D can be controlled simultaneously. Here, we solve this problem for the d-dimensional mesh. We present an oblivious algorithm for which C and D are both within O(d2 ) of optimal. The algorithm uses randomization, and we show that the number of random bits required per packet is within O(d) of the minimum number of random bits required by any algorithm that obtains the same congestion. For fixed d, our algorithm is asymptotically optimal.
Costas Busch, Malik Magdon-Ismail, Jing Xi
Added 25 Jun 2010
Updated 25 Jun 2010
Type Conference
Year 2005
Where IPPS
Authors Costas Busch, Malik Magdon-Ismail, Jing Xi
Comments (0)
books