Online Matching with High Probability

12/14/2021
by   Milena Mihail, et al.
0

We study the classical, randomized Ranking algorithm which is known to be (1 - 1/e)-competitive in expectation for the Online Bipartite Matching Problem. We give a tail inequality bound, namely that Ranking is (1 - 1/e - α)-competitive with probability at least 1 - e^-2 α^2 n where n is the size of the maximum matching in the instance. Building on this, we show similar concentration results for the Fully Online Matching Problem and for the Online Vertex-Weighted Bipartite Matching Problem.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset