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Recognizing both the maximum and the second maximum of a sequence

Published online by Cambridge University Press:  14 July 2016

M. Tamaki
M. Tamaki*
Affiliation:
Otemon Gakuin University
*
∗ Postal address: Otemon Gakuin University, School of Economics, Ai 230 Ibaraki City, Osaka, Japan.
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Abstract

We consider the situation in which the decision-maker is allowed to have two choices and he must choose both the best and the second best from a group of N applicants. The optimal stopping rule and the maximum probability of choosing both of them are derived.

Keywords

OPTIMAL STOPPING RULESECRETARY PROBLEMDYNAMIC PROGRAMMINGMARKOV DECISION PROCESSOLA POLICYSEQUENTIAL DECISION ANALYSIS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 803 - 812
Copyright
Copyright © Applied Probability Trust 1979 

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