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1 results

  • On-line selection of an acceptable pair

  • Part of
  • J. Preater
  • Journal:
    Journal of Applied Probability / Volume 43 / Issue 3 / September 2006
    Published online by Cambridge University Press:
    14 July 2016, pp. 729-740
    Print publication:
    September 2006
    • Article
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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.