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Maintaining bipartite matchings in the presence of failures. (English) Zbl 0794.90020
Summary: We present an on-line distributed reconfiguration algorithm for finding a new maximum matching incrementally after some nodes have failed. Our algorithm is deadlock-free and, with $$k$$ failures, maintains at least $$M- k$$ matching pairs during the reconfiguration process, where $$M$$ is the size of the original maximum matching. The algorithm tolerates failures that occur during reconfiguration. The worst-case reconfiguration time is $$O(k\min(| A|,| B|))$$ after $$k$$ failures, where $$A$$ and $$B$$ are the node sets, but simulations show that the average-case reconfiguration time is much better. The algorithm is also simple enough to be implemented in hardware.
##### MSC:
 90B25 Reliability, availability, maintenance, inspection in operations research 90B15 Stochastic network models in operations research
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##### References:
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