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A secretary problem with uncertain employment

Published online by Cambridge University Press:  14 July 2016

M. H. Smith
M. H. Smith*
Affiliation:
University of Canterbury, Christchurch, New Zealand
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Abstract

A ‘Secretary Problem’ with no recall but which allows the applicant to refuse an offer of employment with a fixed probability 1 – p, (0 < p < 1), is considered. The optimal stopping rule and the maximum probability of employing the best applicant are derived.

Keywords

SEQUENTIAL DECISION THEORYOPTIMAL STOPPING RULESSECRETARY PROBLEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 620 - 624
Copyright
Copyright © Applied Probability Trust 1975 

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References

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