Article ID Journal Published Year Pages File Type
419387 Discrete Applied Mathematics 2013 7 Pages PDF
Abstract

We find optimal stopping times for the secretary problem considered on partially ordered sets that are unions of two independent finite linear orders that have a common best element. We also determine the optimal probability of success, i.e. choosing the best element, and the asymptotic value of this probability and a certain threshold behavior of the optimal stopping times when the number of elements in our set tends to infinity.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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