A Secretary Problem with Finite Memory

A Secretary Problem with Finite Memory
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内存有限的秘书问题

DOI:
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发表时间:
1975
期刊:
影响因子:
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通讯作者:
J. Deely
J. Deely
中科院分区:
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文献类型:
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作者:
M. Smith;J. Deely

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摘要本文考虑了秘书问题的变化,其中在任何阶段,最后m名申请人中的每一位都可以就业。我们证明了使雇用最佳申请人的概率最大化的停止规则的形式是:停止在第一阶段,从r*开始,当相对最佳申请人即将无法获得时。一个简单的算法来评估r*和雇用最佳申请人的概率概述。
Abstract This article considers the variation of the Secretary Problem where at any stage each of the last m applicants are available for employment. We show that the form of the stopping rule which maximizes the probability of employing the best applicant is: stop at the first stage, from r* onwards, when the relatively best applicant is about to become unavailable. A simple algorithm for evaluating r* and the probability of employing the best applicant is outlined.