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      FPTAS for half-products minimization with scheduling applications

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      Author
      Erel, E.
      Ghosh, J. B.
      Date
      2008
      Source Title
      Discrete Applied Mathematics
      Print ISSN
      0166-218X
      Publisher
      Elsevier
      Volume
      156
      Issue
      15
      Pages
      3046 - 3056
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      A special class of quadratic pseudo-boolean functions called "half-products" (HP) has recently been introduced. It has been shown that HP minimization, while NP-hard, admits a fully polynomial time approximation scheme (FPTAS). In this note, we provide a more efficient FPTAS. We further show how an FPTAS can also be derived for the general case where the HP function is augmented by a problem-dependent constant and can justifiably be assumed to be nonnegative. This leads to an FPTAS for certain partitioning type problems, including many from the field of scheduling.
      Keywords
      Approximation scheme
      Dynamic programming
      Quadratic pseudo-boolean functions
      Nuclear propulsion
      Polynomial approximation
      Scheduling
      Approximation scheme
      Dynamic programming
      Fully polynomial time approximation scheme
      Half-products
      Np-hard
      Pseudo-boolean functions
      Quadratic pseudo-boolean functions
      Special class
      Boolean functions
      Permalink
      http://hdl.handle.net/11693/23041
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.dam.2008.01.018
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