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The secretary problem: Optimal selection with batch-interviewing and cost. (English) Zbl 0783.62057

Summary: We consider the secretary problem when the candidates are interviewed in batches of two at each stage and cost of interviewing is present. Closed form asymptotic results are derived and are compared with the case when there is no recall of the candidates. There is a small reduction in the expected loss when the interview cost is a powerful function which is nonconstant.

MSC:

62L15 Optimal stopping in statistics
60G40 Stopping times; optimal stopping problems; gambling theory
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