On the existence of an FPTAS for minmax regret combinatorial optimization problems with interval data

  • Authors:
  • Adam Kasperski;Paweł ZielińSki

  • Affiliations:
  • Institute of Industrial Engineering and Management, Wrocław University of Technology, Wybrzee Wyspiańskiego 27, 50-370 Wrocław, Poland;Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzee Wyspiańskiego 27, 50-370 Wrocław, Poland

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

The general problem of minimizing the maximal regret in combinatorial optimization problems with interval costs is considered. Some results are proven that allow to obtain a fully polynomial time approximation scheme (FPTAS) for the problem under the assumption that a pseudopolynomial algorithm is given.