加快延期验收

Gregory Z. Gutin, Daniel Karapetyan, Philip R. Neary, Alexander Vicker, Anders Yeo
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摘要

延迟接受(DA)算法的运行可能包含一些肯定会被拒绝的建议。我们引入了加速延迟接受算法,它的运行方式与 DA 算法类似,但排除了肯定会被拒绝的提议。加速延迟接受算法能输出与 DA 算法相同的稳定匹配结果,但效率更高:它能在极少数回合内终止,所需的提议数量也极少,而且最终配对匹配的时间不会晚于 DA 算法。
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Speeding up deferred acceptance
A run of the deferred acceptance (DA) algorithm may contain proposals that are sure to be rejected. We introduce the accelerated deferred acceptance algorithm that proceeds in a similar manner to DA but with sure-to-be rejected proposals ruled out. Accelerated deferred acceptance outputs the same stable matching as DA but does so more efficiently: it terminates in weakly fewer rounds, requires weakly fewer proposals, and final pairs match no later. Computational experiments show that these efficiency savings can be strict.
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