New ordered contention resolution schemes achieve approximation ratios of 0.382 (general graphs, patience >=2), 0.432 (no patience), and 0.632 (bipartite unit patience) for offline stochastic matching.
Sierra C, ed., Proceedings of the Twenty-Sixth International Joint Conference on Arti ficial Intelligence, IJCAI 2017, Melbourne, Australia, August 19-25, 2017 , 35–41 (ijcai.org)
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Improved Guarantees for Offline Stochastic Matching via New Ordered Contention Resolution Schemes
New ordered contention resolution schemes achieve approximation ratios of 0.382 (general graphs, patience >=2), 0.432 (no patience), and 0.632 (bipartite unit patience) for offline stochastic matching.