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Best-choice problems involving uncertainty of selection and recall of observations

Published online by Cambridge University Press:  14 July 2016

Joseph D. Petruccelli
Joseph D. Petruccelli*
Affiliation:
Worcester Polytechnic Institute
*
∗Postal address: Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609, U.S.A.
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Abstract

This paper explores best choice problems which allow both recall of applicants and uncertainty of a current applicant accepting an offer of employment. Properties of optimal selection procedures are derived for the general case. Optimal procedures and the associated probabilities of obtaining the best applicant are found in two special cases. The results unify and extend those of Yang (1974) and Smith (1975).

Keywords

OPTIMAL STOPPINGSECRETARY PROBLEMRELATIVE RANKS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 415 - 425
Copyright
Copyright © Applied Probability Trust 

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References

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