1. |
- Freij, Ragnar, 1984, et al.
(författare)
-
Partially ordered secretaries
- 2010
-
Ingår i: Electronic Communications in Probability. - 1083-589X. ; 15, s. 504-507
-
Tidskriftsartikel (refereegranskat)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 at least 1=e for an arbitrary partial order.
|
|