On the approximability of minmax (regret) network optimization problems

  • Authors:
  • Adam Kasperski;Paweł Zieliński

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

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

In this paper the minmax (regret) versions of some basic polynomially solvable deterministic network problems are discussed. It is shown that if the number of scenarios is unbounded, then the problems under consideration are not approximable within log^1^-^@eK for any @e0 unless NP@?DTIME(n^p^o^l^y^l^o^g^n), where K is the number of scenarios.