A global optimization algorithm for solving the minimum multiple ratio spanning tree problem Conference Paper uri icon


  • This paper studies the sum-of-ratios version of the classical minimum spanning tree problem. We describe a branch-and-bound algorithm for solving the general version of the problem based on its image space representation. The suggested approach specifically addresses the difficulties arising in the case when the number of ratios exceeds two. The efficacy of our approach is demonstrated on randomly generated complete and sparse graph instances. 2011 Springer Science+Business Media, LLC.

published proceedings

  • Journal of Global Optimization

author list (cited authors)

  • Ursulenko, O., Butenko, S., & Prokopyev, O. A.

citation count

  • 8

complete list of authors

  • Ursulenko, Oleksii||Butenko, Sergiy||Prokopyev, Oleg A

publication date

  • July 2013