MATHEMATICAL ENGINEERING TECHNICAL REPORTS An Approximation Algorithm for the Traveling Tournament Problem

نویسندگان

  • Ryuhei MIYASHIRO
  • Tomomi MATSUI
  • Shinji IMAHORI
  • Ryuhei Miyashiro
  • Tomomi Matsui
  • Shinji Imahori
  • R. Miyashiro
  • T. Matsui
  • S. Imahori
چکیده

This paper deals with the traveling tournament problem, which is a well-known benchmark problem in the field of tournament timetabling. We propose a new lower bound for the traveling tournament problem, and construct a randomized approximation algorithm yielding a feasible solution whose approximation ratio is less than 2+(9/4)/(n−1), where n is the number of teams. For the traveling tournament problem, this is the first approximation algorithm with a constant approximation ratio, which is less than 2+3/4.

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تاریخ انتشار 2008