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Technical Note—Branch and Fathom: A Technique for Computing Functions on the Power Set of a Set

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  • David R. Strip

    (Sandia National Laboratories, Albuquerque, New Mexico)

Abstract

Tree traversal algorithms are frequently used for ordering operations on sets. This paper describes a tree structure and traversal scheme which is applied to the computation of a reliability measure. The key to this variation is a particular labeling of the enumeration tree which locates supersets of a set S in one subtree of the node labeled with S . Exact computation by simple techniques is considerably more time-consuming than by the “branch and fathom” technique, which may also be useful in computing other functions on the power set of a set.

Suggested Citation

  • David R. Strip, 1983. "Technical Note—Branch and Fathom: A Technique for Computing Functions on the Power Set of a Set," Operations Research, INFORMS, vol. 31(2), pages 396-400, April.
  • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:396-400
    DOI: 10.1287/opre.31.2.396
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    492 branch and bound;

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