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The performance ratio is an approximation ratio.
Thus, their approximation ratio is near-optimal.
Approximation Ratio The approximation ratio of the algorithm is (O ln {|E_t|})).
This approximation ratio is shown to be asymptotically optimal.
The best approximation ratio known for the problem is 1.5.
For always-on networks, this approximation ratio is 12. 3.
We design a bin packing based algorithm with asymptotic approximation ratio of 5.745.
The mentioned results can be derandomized at the expense of a slightly worse approximation ratio.
We show that this heuristic has an approximation ratio of around 0.632 under some common conditions.
We give a novel approximation ratio preserving reduction from Directed SNDP to Undirected SNDP.
In the case of three regular graphs our results imply an approximation ratio of 0.834.
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