HOW TO CHOOSE THE BEST TWINS

被引:10
|
作者
Garrod, Bryn [1 ]
Kubicki, Grzegorz [2 ]
Morayne, Michal [2 ,3 ]
机构
[1] Univ Cambridge, Dept Pure Math & Math Stat, Ctr Math Sci, Cambridge CB3 0WB, England
[2] Univ Louisville, Dept Math, Louisville, KY 40292 USA
[3] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland
关键词
secretary problem; best choice; partial order; BEST-CHOICE PROBLEM;
D O I
10.1137/09076845X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a version of the secretary problem where each candidate has an identical twin. The aim, as in the classical problem, is to choose with the largest possible probability a top candidate, i.e., one of the best twins. We find an optimal stopping time for such a choice, the probability of success the optimal stopping time yields, and their asymptotic behavior.
引用
收藏
页码:384 / 398
页数:15
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