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A secretary problem with backward solicitation and uncertain employment

Published online by Cambridge University Press:  14 July 2016

K. I. Choe  and
D. S. Bai
K. I. Choe*
Affiliation:
Ulsan Institute of Technology
D. S. Bai*
Affiliation:
Korea Advanced Institute of Science and Technology
*
∗ Postal Address: Department of Industrial Engineering, Ulsan Institute of Technology, Ulsan, Kyungnam, Korea.
∗∗ Postal Address: Department of Industrial Engineering, Korea Advanced Institute of Science and Technology, P.O. Box 150, Chongyangni, Seoul, Korea.
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Abstract

A secretary problem which allows the applicant to refuse an offer of employment with a fixed probability and admits backward solicitations of previous interviewees with known probability of successful solicitation is considered. The optimal strategy that maximizes the probability of employing the best applicant is derived. Two types of probability of successful solicitation, constant and geometric, are discussed in detail.

Keywords

OPTIMAL STOPPINGRELATIVE RANKS
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 4 , December 1983 , pp. 891 - 896
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

Work done while this author was at Korea Advanced Institute of Science and Technology.

An earlier draft of the paper was presented at the Annual Meeting of the Korean Statistical Society held in Taegu, Korea, on May 16–17, 1981.

References

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Yang, M. C. K. (1974) Recognizing the maximum of a random sequence based on relative rank with backward solicitation. J. Appl. Prob. 11, 504–512.CrossRefGoogle Scholar