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On-Line Selection of an Acceptable Pair
Journal of Applied Probability
Vol. 43, No. 3 (Sep., 2006), pp. 729-740
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/27595768
Page Count: 12
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A sequence of objects with independent, identically distributed qualities is presented to a selector who must choose two on-line, i.e. without anticipation or recall. The selector's aim is to obtain a satisfactory pair as quickly as possible. Two versions of the problem are considered, and optimal selection rules are derived and compared. An investigation is also made of a heuristic rule suitable for a selector who has no prior knowledge of the nature of the object sequence.
Journal of Applied Probability © 2006 Applied Probability Trust