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- W4299128316 abstract "The elements of a finite nonempty partially ordered set are exposed at independent uniform times in $[0,1]$ to a selector who, at any given time, can see the structure of the induced partial order on the exposed elements. The selector's task is to choose online a maximal element. This generalizes the classical linear order secretary problem, for which it is known that the selector can succeed with probability $1/e$ and that this is best possible. We describe a strategy for the general problem that achieves success probability $1/e$ for an arbitrary partial order." @default.
- W4299128316 created "2022-10-02" @default.
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- W4299128316 date "2010-08-19" @default.
- W4299128316 modified "2023-10-14" @default.
- W4299128316 title "Partially ordered secretaries" @default.
- W4299128316 doi "https://doi.org/10.48550/arxiv.1008.3310" @default.
- W4299128316 hasPublicationYear "2010" @default.
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