6533b7d6fe1ef96bd1266f1b

RESEARCH PRODUCT

Optimal selection of the four best of a sequence

Aarni Lehtinen

subject

Mathematical optimizationSequenceGeneral MathematicsValue (economics)Stopping ruleOptimal stopping ruleOptimal stoppingManagement Science and Operations ResearchMathematical economicsSoftwareSelection (genetic algorithm)Secretary problemMathematics

description

We consider the situation in which the decision-maker is allowed to have four choices with purpose to choose exactly the four absolute best candidates fromN applicants. The optimal stopping rule and the maximum probability of making the right choice are given for largeN∈N, the maximum asymptotic value of the best choice being limN→∞P(win)≈0.12706.

https://doi.org/10.1007/bf01416612