Partially ordered secretaries

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چکیده

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Partially ordered secretaries

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 wit...

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ژورنال

عنوان ژورنال: Electronic Communications in Probability

سال: 2010

ISSN: 1083-589X

DOI: 10.1214/ecp.v15-1579