English

The multi-returning secretary problem

Probability 2020-10-16 v2

Abstract

In this paper we consider the so-called Multi-returning secretary problem, a version of the Secretary problem in which each candidate has mm identical copies. The case m=2m=2 has already been completely solved by several authors using different methods both the case m>2m>2 had not been satisfactorily solved yet. Here, we provide and efficient algorithm to compute the optimal threshold and the probability of success for every mm. Moreover, we give a method to determine their asymtoptic values based on the solution of a system of mm ODEs.

Keywords

Cite

@article{arxiv.2009.07911,
  title  = {The multi-returning secretary problem},
  author = {L. Bayon and P. Fortuny and J. M. Grau and A. Oller Marcen and M. M. Ruiz},
  journal= {arXiv preprint arXiv:2009.07911},
  year   = {2020}
}
R2 v1 2026-06-23T18:35:46.512Z